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SpringerBriefs in Physics

Macchi A: A Superintense Laser-Plasma
Interaction Theory Primer

A Superintense Laser-Plasma Interaction Theory Primer

This book derives, solves, and assesses the Langevin Stochastic Equations (LSE) as a tool for treating turbulent flows. Previous work has demonstrated the LSE's ability to successfully describe non-geophysical turbulent flows. However, this book specifically focuses on geophysical flows. Chapter I addresses the modeling of oceanic mesoscales (M) and sub-mesoscales (SM), while Chapter II discusses vertical mixing.The target audience for this book is advanced students and researchers interested in future climate change and the crucial role played by the ocean. One of the main challenges in describing oceanic M and SM is that they are governed by non-linear interactions for which no satisfactory model exists. Despite the unsuccessful attempts to describe non-linearity using the traditional Navier-Stokes Equations (NSE), heuristic models continue to be used. This has created a dilemma: while future climate projections need to be predictive, the heuristic treatment of M and SM lacks predictive power, leading to an internal inconsistency.The primary goal of this book is to demonstrate that the transition from NSE to LSE resolves this inconsistency, paving the way for a fully predictive treatment of M and SM. This advancement is crucial for providing future climate predictions with the credibility they require.

Langevin Stochastic Equations: Treatment of Ocean, Planetary Boundary Layer, and Stellar Turbulence

Ferronematics and Living Liquid Crystals

&nbsp;This book presents a previously unpublished theory for predicting the quantitative behavior of a class of dynamical systems when brought into contact with a source of mechanical energy, when both the system and the source are complex. Complex refers to a virtually unbounded number of quantitative parameters being needed for a complete description, the precise values of which are inherently unknowable. The complexity precludes the use of a complete and completely accurate prediction model, necessitating the construction of an effective theory, a mathematical framework for estimating less than complete system behavior while accommodating less than all underlying physical processes. Predicting less, the effective theory does not require&nbsp; a complete system description, but rather only the values of a limited number of global measures, these to be determined by a process of normalizing the theory. &nbsp; In the text, the dynamical system is identified as a meta-mass comprising a grounded housing element containing a large multiplicity of oscillators, and the theory describes the non-Newtonian behavior of the basic element for a virtually inexhaustible class of non-classical mechanical and mechanical/electrical systems. The non-Newtonian behavior of primary interest is an enhanced energetics, referring to the energy transfer between the meta-mass housing element and an external source. Internal energy transfer between the meta-mass housing element and the encapsulated oscillators is the occasion of changes in the external energy transfer, which has no counterpart in Newtonian mechanics. This makes the effective theory essential for designing mechanical and mechanical/electrical devices that exploit the enhanced energetics. Dynamical system complexity brings to the fore mechanical energy source complexity, which otherwise can be ignored. This book presents a tailoring of the effective theory in the face of mechanical energy source complexity, as an alternative toan explicitly energy formulation. &nbsp;

This book presents a previously unpublished theory for predicting the quantitative behavior of a class of dynamical systems when brought into contact with a source of mechanical energy, when both the system and the source are complex. Complex refers to a virtually unbounded number of quantitative parameters being needed for a complete description, the precise values of which are inherently unknowable. The complexity precludes the use of a complete and completely accurate prediction model, necessitating the construction of an effective theory, a mathematical framework for estimating less than complete system behavior while accommodating less than all underlying physical processes. Predicting less, the effective theory does not require&nbsp; a complete system description, but rather only the values of a limited number of global measures, these to be determined by a process of normalizing the theory.In the text, the dynamical system is identified as a meta-mass comprising a groundedhousing element containing a large multiplicity of oscillators and the theory describes the non-Newtonian behavior of the basic element for a virtually inexhaustible class of non-classical mechanical and mechanical/electrical systems. The non-Newtonian behavior of primary interest is an enhanced energetics, referring to the energy transfer between the meta-mass housing element and an external source. Internal energy transfer between the meta-mass housing element and the encapsulated oscillators is the occasion of changes in the external energy transfer, which has no counterpart in Newtonian mechanics. This makes the effective theory essential for designing mechanical and mechanical/electrical devices that exploit the enhanced energetics. Dynamical system complexity brings to the fore mechanical energy source complexity, which otherwise can be ignored. This book presents a tailoring of the effective theory in the face of mechanical energy source complexity, as an alternative to an explicitly energy formulation.

Response of Complex Dynamical Systems to Complex Mechanical Energy Sources

An Algebraic Approach to the Many-Electron Problem

This book introduces the theory behind the incoherent scattering of electromagnetic waves (radar waves) by free electrons—a key technique for studying critical parameters of the Earth’s ionosphere. Starting with scattering by statistically independent electrons, including magnetized cases, the book progressively develops a comprehensive model. This framework is extended to include ‘dressed particles’, accounting for long-range Coulomb interactions between charged particles. A consistent approach to incorporating particle collisions is presented, with an example of charge exchange interactions for illustration. Appendices provide essential background material, ensuring the content is accessible to readers.
Based on lectures delivered at the University of Tromsø, Norway, this book is designed for Masters and PhD students. It assumes a basic understanding of electromagnetism and plasma physics, including plasma waves and electrostatic phenomena. Familiarity with kinetic plasma theory and the collisionless Vlasov equation is beneficial but not mandatory.

Introduction to the Theory of Incoherent Scattering of Radar Waves from Plasmas

This book explores Lieb's Simplified approach to the ground state of systems of interacting bosons. While extensive research has delved into the behavior of interacting bosons, persistent challenges, such as proving Bose-Einstein condensation, remain. Introduced by Lieb in 1963, the Simplified approach has been the object of renewed attention in recent years, revealing surprising and promising results. Notably, this approach provides ground state energy predictions that agree with many-body systems asymptotically at both low and high densities. It further predicts a condensate fraction and correlation function that agree with Bogolyubov theory at low densities, and numerical predictions match quantum Monte Carlo simulations across all densities. This suggests that Lieb's Simplified approach could serve as a potent tool for reimagining the study of interacting bosons.


The book defines Lieb's Simplified approach, discusses its predictions, and presents known analytical and numerical results. It is designed for advanced students and young researchers working in the fields of mathematical physics, quantum many-body physics and Bose-Einstein condensates.

This book explores Lieb's Simplified approach to the ground state of systems of interacting bosons. While extensive research has delved into the behavior of interacting bosons, persistent challenges, such as proving Bose-Einstein condensation, remain. Introduced by Lieb in 1963, the Simplified approach has been the object of renewed attention in recent years, revealing surprising and promising results. Notably, this approach provides ground state energy predictions that agree with many-body systems asymptotically at both low and high densities. It further predicts a condensate fraction and correlation function that agree with Bogolyubov theory at low densities, and numerical predictions match quantum Monte Carlo simulations across all densities. This suggests that Lieb's Simplified approach could serve as a potent tool for reimagining the study of interacting bosons.The book defines Lieb's Simplified approach, discusses its predictions, and presents known analytical and numerical results. It is designed for advanced students and young researchers working in the fields of mathematical physics, quantum many-body physics and Bose-Einstein condensates.

An introduction to Lieb's Simplified approach to the Bose gas

This book provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866–1871). Despite the later contribution by Helmholtz, Boltzmann himself (1884–1887), Gibbs, P. Hertz, and Einstein, the mechanical approach remained almost unknown to the modern reader, in favour of the celebrated combinatorial approach, developed by Boltzmann himself during his probabilistic turn (1876–1884). The brief constitutes an ideal continuation of a graduate course of classical mechanics and requires knowledge of basic calculus in many dimensions (including differential forms), thermodynamics, and probability theory, besides Hamiltonian mechanics. The cornerstone of the whole presentation is the ergodic hypothesis. Special attention is devoted to Massieu potentials (the Legendre transforms of the entropy) which are most natural in statistical mechanics and also allow for a more direct treatment of the topic of ensemble equivalence. In this second edition, a chapter is added that addresses the long-debated question of how the second law of thermodynamics can be reconciled with mechanics, by taking advantage of modern methods of non-equilibrium statistical mechanics.

Lectures on the Mechanical Foundations of Thermodynamics

This open access book explains geometric quantization from a physicist¿s perspective. After presenting the general formalism, it delves into several examples reflecting current research interests in high-energy physics and condensed matter physics. Applications explore Chern-Simons theory, theta vacuum, the Hall effect, fluid dynamics, and elements of noncommutative geometry.


The content is tailored to appeal to researchers, graduate students, and advanced undergraduates in high-energy physics, particle physics, and mathematical physics. A background in differential geometry and group theory is beneficial for a comprehensive understanding of the discussions.

This open access book explains geometric quantization from a physicist’s perspective. After presenting the general formalism, it delves into several examples reflecting current research interests in high-energy physics and condensed matter physics. Applications explore Chern-Simons theory, theta vacuum, the Hall effect, fluid dynamics, and elements of noncommutative geometry.The content is tailored to appeal to researchers, graduate students, and advanced undergraduates in high-energy physics, particle physics, and mathematical physics. A background in differential geometry and group theory is beneficial for a comprehensive understanding of the discussions.

Geometric Quantization and Applications to Fields and Fluids

This book describes the state-of-the-art in the emerging field of optical trapping of ions, as well as the most recent advances enabling the use of this technique as a versatile tool for novel investigations in atomic physics. The text provides a detailed explanation of the requirements for optical trapping of ions, replete with a protocol for optical ion trapping, including preparation, transfer, and detection.&nbsp;The book also highlights the experimental requirements for extending the presented scheme to optical trapping of linear ion chains.&nbsp;Lastly, this text elaborates on the key features of the described approach, such as the capability to arrange single strongly interacting atoms in scalable, state-selective and wavelength-sized optical potentials without the detrimental impact of driven radiofrequency fields conventionally used to trap ions. The described results demonstrate that the developed methods are suitable for new experimental investigations, most notably in the field of ultracold interaction of ions and atoms, but also in quantum simulations and metrology. The book's practical bent is perfect for anyone&nbsp;attempting to build an experiment related to the field or understand the limitations behind current experiments.

This book describes the state-of-the-art in the emerging field of optical trapping of ions, as well as the most recent advances enabling the use of this technique as a versatile tool for novel investigations in atomic physics. The text provides a detailed explanation of the requirements for optical trapping of ions, replete with a protocol for optical ion trapping, including preparation, transfer, and detection.&nbsp;The book also highlights the experimental requirements for extending the presented scheme to optical trapping of linear ion chains.&nbsp;Lastly, this text elaborates on the key features of the described approach, such as the capability to arrange single strongly interacting atoms in scalable, state-selective and wavelength-sized optical potentials without the detrimental impact of driven radiofrequency fields conventionally used to trap ions. The described results demonstrate that the developed methods are suitable for new experimental investigations, most notably in the field of ultracold interaction of ions and atoms, but also in quantum simulations and metrology. The book's practical bent is perfect for anyone&nbsp;attempting to build an experiment related to the field or understand the limitations behind current experiments.

Trapping Single Ions and Coulomb Crystals with Light Fields

This book addresses the basic physical phenomenon of small-angle scattering (SAS) of neutrons, x-rays or light from complex hierarchical nano- and micro-structures. The emphasis is on developing theoretical models for the material structure containing self-similar or fractal clusters. Within the suggested framework, key approaches for extracting structural information from experimental scattering data are investigated and presented in detail. The range of parameters which can be obtained pave the road towards a better understanding of the correlations between geometrical and various physical properties (electrical, magnetic, mechanical, optical, dynamical, transport etc.) in fractal nano- and micro-materials.

This book addresses the basic physical phenomenon of small-angle scattering (SAS) of neutrons, x-rays or light from complex hierarchical nano- and micro-structures. The emphasis is on developing theoretical models for the material structure containing self-similar or fractal clusters. Within the suggested framework, key approaches for extracting structural information from experimental scattering data are investigated and presented in detail. The range of parameters which can be obtained pave the road towards a better understanding of the correlations between geometrical and various physical properties (electrical, magnetic, mechanical, optical, dynamical, transport etc.) in fractal nano- and micro-materials.

Fractal and Multifractal Models for Interpretation of Experimental Data

Small-Angle Scattering (Neutrons, X-Rays, Light) from Complex Systems

This book begins with a brief historical review of the early applications of standard dispersion relations in particle physics. It then presents the modern perspective within the Standard Model, emphasizing the relation of analyticity together with alternative tools applied to strong interactions, such as perturbative and lattice quantum chromodynamics (QCD), as well as chiral perturbation theory.The core of the book argues that, in order to improve the prediction of specific hadronic observables, it is often necessary to resort to methods of complex analysis more sophisticated than the simple Cauchy integral. Accordingly, a separate mathematical chapter is devoted to solving several functional analysis optimization problems. Their applications to physical amplitudes and form factors are discussed in the following chapters, which also demonstrate how to merge the analytic approach with statistical analysis tools.Given its scope, the book offers a valuable guide for researchers working in precision hadronic physics, as well as graduate students who are new to the field.

This book begins with a brief historical review of the early applications of standard dispersion relations in particle physics. It then presents the modern perspective within the Standard Model, emphasizing the relation of analyticity together with alternative tools applied to strong interactions, such as perturbative and lattice quantum chromodynamics (QCD), as well as chiral perturbation theory. The core of the book argues that, in order to improve the prediction of specific hadronic observables, it is often necessary to resort to methods of complex analysis more sophisticated than the simple Cauchy integral. Accordingly, a separate mathematical chapter is devoted to solving several functional analysis optimization problems. Their applications to physical amplitudes and form factors are discussed in the following chapters, which also demonstrate how to merge the analytic approach with statistical analysis tools. Given its scope, the book offers a valuableguide for researchers working in precision hadronic physics, as well as graduate students who are new to the field.

Functional Analysis and Optimization Methods in Hadron Physics

Quantum Brownian motion represents a paradigmatic model of open quantum system, namely a system inextricably coupled to the surrounding environment. Such a model is largely used in physics, for instance in quantum foundations to approach in a quantitative manner the quantum-to-classical transition, but also for more practical purposes as the estimation of decoherence in quantum optics experiments.

This book presents the main techniques aimed to treat the dynamics of the quantum Brownian particle: Born-Markov master equation, Lindblad equation and Heisenberg equations formalism. Particular attention is given to the interaction between the particle and the bath depends non-linearly on the position of the former. This generalization corresponds to the case in which the bath is not homogeneous. An immediate application is the Bose polaron, specifically an impurity embedded in an ultracold gas.

Quantum Brownian motion represents a paradigmatic model of open quantum system, namely a system inextricably coupled to the surrounding environment. Such a model is largely used in physics, for instance in quantum foundations to approach in a quantitative manner the quantum-to-classical transition, but also for more practical purposes as the estimation of decoherence in quantum optics experiments.

This book presents the main techniques aimed to treat the dynamics of the quantum Brownian particle: Born-Markov master equation, Lindblad equation and Heisenberg equations formalism. Particular attention is given to the interaction between the particle and the bath depends non-linearly on the position of the former. This generalization corresponds to the case in which the bath is not homogeneous. An immediate application is the Bose polaron, specifically an impurity embedded in an ultracold gas.

Extensions and Applications

Quantum Brownian Motion Revisited

"Physics: An Introduction to Physical Dynamics" provides an accessible introduction to the fundamentals of physics for science and engineering undergraduates who are studying elementary physics.

“Physics: An Introduction to Physical Dynamics” provides an accessible introduction to the fundamentals of physics for science and engineering undergraduates who are studying elementary physics.

An Introduction to Physical Dynamics

Physics

NanoScience and Technology

This book offers a comprehensive examination of ongoing advancements in theoretical and experimental approaches to Maxwell's equations. It focuses on three key aspects: quantum effects, scale effects, and kinetic effects, which exert subtle influences at microscopic levels. Addressing pressing challenges for future progress, the text explores the interplay of these phenomena within classical electromagnetism.The evolution of data communication and information technology has led to a demand for high-density, minimization, ultra-compact nano-photo-electronic integration. As electronic devices scale down to nanometer and sub-nanometer levels, classical Maxwell's equations reveal quantum effects. This book provides insights into these advancements, focusing on potential applications in nano-scale electronic and optic devices.Tailored for physicists, engineering scientists, electronics engineers, and developers, this text serves as a valuable resource. It guides readers from classical Maxwell's equations to their quantum-affected counterparts, providing essential insights for electromagnetic simulation and the design of nano-scale electronic and optic systems. With its blend of theoretical foundations and practical applications, this book equips professionals with the knowledge needed to apply these advancements in real-world scenarios.

This book offers a comprehensive examination of ongoing advancements in theoretical and experimental approaches to Maxwell's equations. It focuses on three key aspects: quantum effects, scale effects, and kinetic effects, which exert subtle influences at microscopic levels. Addressing pressing challenges for future progress, the text explores the interplay of these phenomena within classical electromagnetism.The evolution of data communication and information technology has led to a demand for high-density, minimization, ultra-compact nano-photo-electronic integration. As electronic devices scale down to nanometer and sub-nanometer levels, classical Maxwell’s equations reveal quantum effects. This book provides insights into these advancements, focusing on potential applications in nano-scale electronic and optic devices.Tailored for physicists, engineering scientists, electronics engineers, and developers, this text serves as a valuable resource. It guides readers from classical Maxwell’s equations to their quantum-affected counterparts, providing essential insights for electromagnetic simulation and the design of nano-scale electronic and optic systems. With its blend of theoretical foundations and practical applications, this book equips professionals with the knowledge needed to apply these advancements in real-world scenarios.

New Advances in Maxwell’s Equations and Applications

Mathematical Modelling of Fluid Dynamics and Nanofluids serves as a comprehensive resource for various aspects of fluid dynamics simulations, nanofluid preparation, and numerical techniques. The book examines the applications of various concepts, including nanofluids, magnetohydrodynamics, heat and mass transfer, and radiation.

Mathematical Modelling of Fluid Dynamics and Nanofluids

Geophysics and Environmental Physics

Basic Principles

High-Frequency Radars for the Oceanographer

This essential study guide is designed for students enrolled in a General Physics II course. The textbook includes problems with detailed solutions to enhance students' understanding of the subject matter. It features partially and fully solved exercises and hints for required formulas and answers. This structure enables students to practice independently while guiding them through problem-solving methods. The topics covered in the guide include electrostatics, electrical charge, capacitance and capacitors, current, resistance and resistors, magnetic fields, electromagnetic induction, fluid dynamics, thermodynamics, as well as transverse and longitudinal waves, and optics, including mirrors and lenses. With its comprehensive solutions, multiple problem-solving approaches, and clear explanations of concepts, this hands-on guide will help improve students' problem-solving skills and foster a solid understanding of General Physics II. Additionally, it serves as a valuable resource for instructors in developing questions, tests, and quizzes.

Practice Problems, Methods, and Solutions

General Physics II

Tauche ein in die Elektrodynamik mit einem Lehrbuch, welches die Maxwellschen Gleichungen als Ausgangspunkt nutzt, wodurch Schritt für Schritt ein tiefes Verständnis vermittelt wird.&nbsp;Besonderheiten:Dieses Buch beginnt jedes Kapitel mit einer der Maxwellschen Gleichungen und erklärt dann schrittweise die einzelnen Bestandteile.&nbsp;Anfänger/innen haben so ein konkretes Lernziel vor Augen.&nbsp;Sowohl die vorkommenden physikalischen Größen als auch mathematischen Grundlagen werden in ihrem natürlichen Kontext erklärt. Grundlegende Prinzipien und komplexe Konzepte werden für verschiedene Fälle betrachtet und mit einfachen Beispielen verdeutlicht. Mithilfe von Aufgaben und Lösungen – sowohl klassisch im Buch als auch als digitale Karteikarten für unterwegs – kann das erworbene Wissen eingeübt und vertieft werden.&nbsp;Inhalt:1. Das Gaußsche Gesetz für elektrische Felder – 2. Das Gaußsche Gesetz für magnetische Felder –&nbsp;3. Das Faradaysche Induktionsgesetz&nbsp;– 4. Das Ampère-Maxwellsche Gesetz – 5. Weiterführende Themen der Elektrodynamik – 6. Wechselwirkung von elektrischen und magnetischen Feldern mit Materie&nbsp;Zielgruppe:Studierende der Ingenieurwissenschaften und Naturwissenschaften, wie z.B. Elektrotechnik, Physik, Medizinphysik, etc. als auch Interessierte bzw. Berufstätige, die ein tieferes Verständnis für die Grundlagen der Elektrodynamik entwickeln möchten.&nbsp;Vorkenntnisse: Hilfreich sind physikalische Grundkenntnisse wie sie z.B. im Buch Vorkurs Physik fürs MINT-Studium vermittelt werden.&nbsp;Der Autor:Dr. Patrick Steglich&nbsp;promovierte 2017 an der Universität Rom ‚Tor Vergata‘ und habilitierte 2023 an der Brandenburgischen Technischen Universität Cottbus-Senftenberg.&nbsp;Seit 2018 ist er Dozent mit Lehrauftrag an der Technischen Hochschule Wildau&nbsp;für das Fach Elektrodynamik und forscht am Leibniz-Institut für innovative Mikroelektronik.

Tauche ein in die Elektrodynamik mit einem Lehrbuch, welches die Maxwellschen Gleichungen als Ausgangspunkt nutzt, wodurch Schritt für Schritt ein tiefes Verständnis vermittelt wird.&nbsp;Besonderheiten:Dieses Buch beginnt jedes Kapitel mit einer der Maxwellschen Gleichungen und erklärt dann schrittweise die einzelnen Bestandteile.&nbsp;Anfänger/innen haben so ein konkretes Lernziel vor Augen.&nbsp;Sowohl die vorkommenden physikalischen Größen als auch mathematischen Grundlagen werden in ihrem natürlichen Kontext erklärt. Grundlegende Prinzipien und komplexe Konzepte werden für verschiedene Fälle betrachtet und mit einfachen Beispielen verdeutlicht. Mithilfe von Aufgaben und Lösungen – sowohl klassisch im Buch als auch als digitale Karteikarten für unterwegs – kann das erworbene Wissen eingeübt und vertieft werden.&nbsp;Inhalt:1. Das Gaußsche Gesetz für elektrische Felder – 2. Das Gaußsche Gesetz für magnetische Felder –&nbsp;3. Das Faradaysche Induktionsgesetz&nbsp;– 4. Das Ampère-Maxwellsche Gesetz – 5. Weiterführende Themen der Elektrodynamik – 6. Wechselwirkung von elektrischen und magnetischen Feldern mit Materie&nbsp;Zielgruppe:Studierende der Ingenieurwissenschaften und Naturwissenschaften, wie z.B. Elektrotechnik, Physik, Medizinphysik, etc. als auch Interessierte bzw. Berufstätige, die ein tieferes Verständnis für die Grundlagen der Elektrodynamik entwickeln möchten.&nbsp;Vorkenntnisse: Hilfreich sind physikalische Grundkenntnisse wie sie z.B. im Buch Vorkurs Physik fürs MINT-Studium vermittelt werden.&nbsp;

Eine schrittweise Reise durch Maxwells Gleichungen

Klassische Elektrodynamik

This book introduces the opportunities of plasma assisted combustion and chemical processing for low carbon energy conversion using renewable electricity. Covering the fundamentals of plasma physics and chemistry, the book details the mechanisms and technologies of plasma enhanced combustion, chemical process, and pollutant control.

Plasma Assisted Combustion and Chemical Processing introduces the opportunities of plasma assisted combustion and chemical processing for green energy conversion using renewable electricity.Covering the fundamentals of plasma physics and chemistry, the book details the mechanisms and technologies of plasma enhanced combustion, chemical process, materials manufacturing and recycling, and pollutant control. Addressing future challenges and opportunities of plasma assisted combustion and electrified green manufacturing, the book covers the state of art methods of modeling and diagnostic tools to optimize the process design.The book will benefit graduate students and researchers studying energy conversion and chemical engineering in this emergent field.

Plasma Assisted Combustion and Chemical Processing

Springer Series on Atomic, Optical, and Plasma Physics

This book discusses recent advances in the science and technology of charged particles and emerging frontiers in applications of ions and plasmas. In particular, this includes: ion/plasma interactions with soft matters, especially, interrogating local bio cells, bio systems, liquids and gels; interactions with ambient environments; processes associated with fine-scale characterization of materials, materials modification, new material discovery, and above all, plasma chemistry. The book takes a broad view of the underlying problems with a distinct aim to engage young researchers and even advanced undergraduate and beginning graduate students. The first few chapters discuss relevant broad science issues covering ions and plasmas as well as methodologies for their manipulations; in addition, mathematical and computational tools for analysis are highlighted through simple examples. This background knowledge, in turn, develops a solid foundation for the chapters on numerous emerging application areas. A balance between science and engineering, along with relevant computational modeling, simulation, and exploitation of data, is maintained throughout. Prospective outlooks for the future are discussed. Overall, this book offers a lens for the reader to get acquainted with active and fruitful emerging application domains for future explorations.

Emerging Applications of Ions and Plasmas

This text introduces magnetohydrodynamics (MHD) from a fluid dynamics perspective at a level accessible to advanced undergraduate and beginning graduate students. Problem sets extend key concepts with fully-worked solutions available to instructors. Lesson plans are also available, including large-font lessons designed for 'flipped-style' classes.

A First Course in Magnetohydrodynamics

This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center).&nbsp;&nbsp;<ul><li>Develops a theory of crossing and product cubic systems with a crossing-linear and self-quadratic product vector field;</li><li>Presents equilibrium series with hyperbolic-to-hyperbolic-scant flows and with paralleled hyperbolic flows;</li><li>Shows equilibrium series switching bifurcations by up-down hyperbolic upper-to-lower saddles, parabola-saddles, et al.</li></ul>

Crossing-linear and Self-quadratic Product Vector Field

Two-dimensional Crossing and Product Cubic Systems, Vol. II

This textbook presents an introduction to electromagnetism intended for undergraduate and graduate students in chemistry, chemical engineering, materials science, and related areas. The book requires no pre-existing knowledge of physics beyond Coulomb’s Law and the idea that electric currents serve as the source of magnetic fields. Only mathematics up through vector calculus is assumed. As a supplement to these basic concepts, there is an extensive appendix with clear explanations of the theorems and mathematical methods of electromagnetism that go beyond the vector calculus. Each equation in the text and in the appendix is derived with no details left out. The book is divided into two sections; the first covers electrostatics while the second covers electrodynamics. The first section introduces the theory of charges and electric dipoles with illustrations of their application to the properties of dielectrics, colloids, polymers, and electrolyte solutions. The second section introduces Maxwell’s equations and covers electromagnetic waves, light scattering, X-ray diffraction, spectroscopy, optical rotation, and the dispersive intermolecular forces, including Forster resonance energy transfer and the Hamaker force. In order to make the application of the theory of electromagnetism to chemistry complete, the book includes stand-alone chapters covering the relevant parts of thermodynamics, statistical mechanics, classical mechanics, and quantum mechanics. The combination of clarity of presentation and careful attention to pedological detail serves to recommend the book as a source for self-study to students and also practicing physical chemists, who may need to refresh their memory of the various details of electromagnetism.

Electromagnetism for Chemistry

This book explores the outstanding and rather novel diagnostics of the fast ions and fast ion-driven instabilities coupled to modern theory of near-critical nonlinear wave-particle systems with the particle source and wave damping.

This book explores the outstanding and rather novel diagnostics of the fast ions and fast ion-driven instabilities coupled to modern theory of near-critical nonlinear wave-particle systems with the particle source and wave damping.

Confinement and Stability of Fast Ions in Fusion Plasmas

A Superintense Laser-Plasma Interaction Theory Primer

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