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Petrascheck D: Electrodynamics

Electrodynamics

Graduate Texts in Physics

Starting at the level of graduate students, this book offers a comprehensive introduction to a rapidly developing field of turbulence. It also presents the state of the art of the theory of wave turbulence in diverse media for researchers looking for a formalism to solve existing problems or for new research subjects and ideas. The book provides a general theory of developed wave turbulence in different media: plasmas, solids, atmosphere, oceans and space.


The presentation starts with a simple and intuitive dimensional analysis and proceeds to a rigorous analytic theory with exact solutions for the stationary spectra of turbulence, stability theory of such spectra, description of nonstationary regimes and matching spectra with pumping and dissipation regions. The reader is provided with the necessary tools to study nonlinear waves and turbulence: Hamiltonian formalism, statistical description, derivation of kinetics equations and methods of finding their steady and non-steady solutions.


In this second edition the book is brought up to date both in theoretical and experimental/observational aspects. In particular, the authors have updated and revised the description of nonstationary turbulence, turbulent entropy production, etc, and added discussions of master equation and several cases of strong turbulence and nonlocal cascades. The book now includes excercises, some with solutions.

Wave Turbulence

Kolmogorov-Zakharov Spectra of Turbulence

Dieses Lehrbuch bietet bereits im Bachelorstudium einen gut verständlichen Zugang nicht nur zur 
speziellen, sondern auch zur allgemeinen Relativitätstheorie. Besonderheiten: 
Erstmals in einem Lehrbuch wird eine physikalische Herleitung der berühmten Kerr-Newman-Lösung&nbsp;gegeben. Dank der zahlreichen Übungsaufgaben mit ausführlich dargestellten Lösungen ist das Buch auch zum Selbststudium geeignet. Inhalt: 
Einführung – Der Minkowski-Raum, die Raumzeit der SRT – Lorentz-Transformationen – Vierervektoren und&nbsp;Vierertensoren – Relativistische Punktmechanik – Andere Teilgebiete der Physik im Rahmen der SRT –&nbsp;Grundideen der ART – Geometrie der Raumzeit – Physik in der gekrümmten Raumzeit – Die Einstein'schen&nbsp;Feldgleichungen – Der Newton'sche Grenzfall – Die Schwarzschild-Lösung – Die klassischen Effekte der&nbsp;ART – Kugelsymmetrische Sternmodelle – Die Schwarzschild-Lösung als Schwarzes Loch – Das&nbsp;Wirkungsprinzip der ART – Ausblick auf Gravitationswellen, Kosmologie und Quantengravitation –&nbsp;Mathematische Methoden – Rotierende und elektrisch geladene Schwarze Löcher – Die rotierende&nbsp;Staubscheibe Neuerungen (3. Aufl.): 
Neben neuen Aufgaben und Lösungen wurde auch ein Abschnitt zur Thermodynamik Schwarzer Löcher&nbsp;hinzugefügt. Zielgruppe: 
Studierende und Lehrende der Physik, sowohl im Hauptstudium als auch im Lehramtsstudium Vorkenntnisse: 
Vorausgesetzt werden lediglich Grundkenntnisse der klassischen Mechanik und der Elektrodynamik sowie&nbsp;der zugehörigen mathematischen Hilfsmittel. Der Autor 
Reinhard Meinel ist Professor für theoretische Physik an der Friedrich-Schiller-Universität Jena. Seine 
Forschungsinteressen liegen hauptsächlich auf den Gebieten der Gravitationstheorie und der 
relativistischen Astrophysik.

Dieses Lehrbuch bietet bereits im Bachelorstudium einen gut verständlichen Zugang nicht nur zur
 
 speziellen, sondern auch zur allgemeinen Relativitätstheorie.
 Besonderheiten: 
 Erstmals in einem Lehrbuch wird eine physikalische Herleitung der berühmten Kerr-Newman-Lösung&nbsp;gegeben. Dank der zahlreichen Übungsaufgaben mit ausführlich dargestellten Lösungen ist das Buch auch&nbsp;zum Selbststudium geeignet.
 Inhalt: 
 Einführung – Der Minkowski-Raum, die Raumzeit der SRT – Lorentz-Transformationen – Vierervektoren und&nbsp;Vierertensoren – Relativistische Punktmechanik – Andere Teilgebiete der Physik im Rahmen der SRT – Grundideen der ART – Geometrie der Raumzeit – Physik in der gekrümmten Raumzeit – Die Einstein'schen&nbsp;Feldgleichungen – Der Newton'sche Grenzfall – Die Schwarzschild-Lösung – Die klassischen Effekte der&nbsp;ART – Kugelsymmetrische Sternmodelle – Die Schwarzschild-Lösung als Schwarzes Loch – Das&nbsp;Wirkungsprinzip der ART – Ausblick auf Gravitationswellen, Kosmologie und Quantengravitation –&nbsp;Mathematische Methoden – Rotierende und elektrisch geladene Schwarze Löcher – Die rotierende&nbsp;Staubscheibe
 Neuerungen (3. Aufl.): 
 Neben neuen Aufgaben und Lösungen wurde auch ein Abschnitt zur Thermodynamik Schwarzer Löcher&nbsp;hinzugefügt.
 Zielgruppe: 
 Studierende und Lehrende der Physik, sowohl im Hauptstudium als auch im Lehramtsstudium
 Vorkenntnisse: 
 Vorausgesetzt werden lediglich Grundkenntnisse der klassischen Mechanik und der Elektrodynamik sowie&nbsp;der zugehörigen mathematischen Hilfsmittel.

Spezielle und allgemeine Relativitätstheorie für Bachelorstudenten

This innovative textbook has been designed with approachability and engagement at its forefront, using language reminiscent of a live lecture and interspersing the main text with useful advice and expansions. Striking a balance between theoretical- and experimental-led approaches, this book immediately immerses the reader in charge and neutral currents, which are at the core of the Standard Model, before presenting the gauge field, allowing the introduction of Feynman diagram calculations at an early stage. This novel and effective approach gives readers a head start in understanding the Model's predictions, stoking interest early on. With in-chapter problem sessions which help readers to build their mastery of the subject, clarifying notes on equations, end of chapter exercises to consolidate learning, and marginal comments to guide readers through the complexities of the Standard Model, this is the ideal book for graduate students studying high energy physics.

A Practical Step-by-Step Guide

The Standard Model

Data, Models and Simulation

Traffic Flow Dynamics

Lecture Notes in Mathematical Fluid Mechanics

Advances in Mathematical Fluid Mechanics

This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed. Chapters build upon the research of Lions and Feireisl with regards to weak solutions to the compressible version of the Navier-Stokes system, and extend it to problems on moving domains. The authors also show the existence of strong solutions to the compressible Navier-Stokes system for either a small time interval or small data. The opening chapters introduce the notation, tools, and problems covered in the rest of the book, emphasizing pedagogy and accessibility throughout. Mathematical Theory of Compressible Fluids on Moving Domains will be suitable for graduate students and researchers interested in mathematical fluid mechanics.

Mathematical Theory of Compressible Fluids on Moving Domains

The nine chapters of this book make appeal to thermodynamic notions and laws to get under the hood of mathematics without just echoing things best said and written in math books. It presents a novel perspective to students and teachers in the physical sciences, biology, and mathematics, with the goal of enriching classroom and seminar hours.

The Thermodynamics of Mathematical Representation

De Gruyter Studies in Mathematical Physics

Mirror symmetry is one of the most exciting ideas in mathematics to emerge in the last two decades. It was introduced in physics as a duality between superconformal field theories. This book discusses this rapidly developing aspect of string theory.

Laurent Polynomials in Mirror Symmetry

The Frontiers Collection

Complex systems seem to magically emerge from the interactions of their parts.&nbsp; A whirlpool emerges from water molecules.&nbsp; A living cell from organic molecules. You emerge from the cells of your body. Not since chaos has a concept from physics spread like wildfire to other disciplines. At the heart of emergence is the alluring idea that there’s more to the world than physics, a holistic component to nature, an edge of mystery.&nbsp;“Physics Fixes All the Facts” untangles emergence. This reveals something surprising: the term is redundant. In its weak form it is so weak that it applies to everything. In its strong form it is so restrictive that it is like the belief that there are pixies in your garden, impossible to exclude but not worth spending your time on. Graham then presents a framework called Austere Physicalism and uses it to reinterpret so-called emergent phenomena. In this radically materialist view, we are nothing but physical systems among others. The book ends with an exploration of what this means for&nbsp;free will and consciousness.Scientists and philosophers alike will find unexpected and exciting ideas in these pages. But the target audience is much broader including students who want to add context to their studies and the intellectually curious with some scientific background.“My envy of Graham’s erudition is only surpassed by my admiration of his achievement. This is the definitive guide to why the physical facts fix all the facts! It’s also the definitive diagnosis of all the specious arguments against this simple truth.”, Alex Rosenberg, R. Taylor Cole Professor of Philosophy, Duke University.&nbsp;

Complex systems seem to magically emerge from the interactions of their parts. A whirlpool emerges from water molecules.&nbsp; A living cell from organic molecules. You emerge from the cells of your body. Not since chaos has a concept from physics spread like wildfire to other disciplines. Emergence can be found from chemistry to economics; from psychology to ecology. At its heart is the alluring idea that there’s more to the world than physics, that there is a holistic component to nature, an edge of mystery.&nbsp;“Physics Fixes All the Facts” starts by taking you on a tour through a fascinating world of complexity, exploring phenomena from the inside of an atomic nucleus to bacterial behaviour to the ability of your thoughts to affect the world. These examples are used along with a thorough exploration of the philosophical literature to untangle the notoriously poorly defined concept of emergence. This reveals something surprising: the term emergence is redundant. In its weak form it is so weak that it applies to everything. In its strong form it is so restrictive that it is like the belief that there are pixies in your garden, impossible to exclude but not worth spending your time on. Emergence either applies to all systems or to none. Rather than telling us something about the nature of the world, it is an illusion, an artefact of our cognitive limitations.&nbsp;The past decade has seen a dozen or so monographs and collections about emergence, almost all resolutely supportive of the concept. This book aims to redress the balance.&nbsp; But it is more than just a campaign against the idea of emergence. Graham presents a framework called Austere Physicalism and argues that it is the only coherent way to view the world. He uses this framework to reinterpret so-called emergent phenomena and investigates its wider implications for science. In this radically materialist view, we are nothing but physical systems among others. “Physics Fixes All the Facts” ends by exploring what this means for our sense&nbsp;of free will and consciousness.The book will appeal to academics in fields which use the concepts of complexity or emergence. Scientists and philosophers alike will find unexpected and exciting ideas in these pages. But the target audience is much broader including students who want to add context to their studies and the intellectually curious with some scientific background.

Physics Fixes All the Facts

De Gruyter Series in Nonlinear Analysis and Applications

Wave, Parabolic and Elliptic Equations on Time Scales

Partial Dynamic Equations

Series in Astronomy and Astrophysics

Analytic and Symbolic Problems with Mathematica

General Relativity

Fundamentals of Turbulence and its Modeling

This book covers a great variety of problems on electricity and magnetism described in the textbook, "Electricity and Magnetism", in which superconductors are classified as one kind of magnetic materials. These problems will be helpful for a deeper understanding of the E-B analogy through a comparison between static electric and magnetic phenomena. Additionally, the usefulness of the vector potential is widely introduced. For example, the vector potential is directly used to determine the induced electromotive force.&nbsp;The author provides various exercises that are not covered in the textbook. The Poynting vector is useful for understanding the energy flow into capacitors or transmission lines during a charging process or into resistors during a dissipation process. A comparison between normal conducting and superconducting transmission lines shows a clear difference in the energy flow, although the final stored magnetic energy is the same. The electromagnetic potential of electromagnetic transverse electric (TE) and transverse magnetic (TM) waves in a waveguide also presents an interesting difference: The electric potential is zero in one case and non-zero in the other case. The reason for such a difference is explored. The relationship between the electric charge and electric current induced on the conductor surface is investigated for an electromagnetic wave in a waveguide or for that reflected on a conductor surface.&nbsp;This exercise book can be used together with the textbook 'Electricity and Magnetism' by the same author.

100 Examples and 400 Exercises

Exercises in Electricity and Magnetism

Electrodynamics

Bibliografische Angaben

Schlagworte

Bibliografische Angaben

Schlagworte

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