Radiative Transport Coefficients and Their Mutual Relations

In this chapter we apply the covariant kinetic theory of quantum dilute relativistic gases developed in Chap.  2 of this Volume and, in particular, the theory of transport processes to explicitly calculate transport coefficients of photons interacting wit

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Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics Volume 2. Relativistic Theories

Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics

The tenet under which this work is carried out is figuratively summarized by the hexahedron displayed above: three vertices of subjects in the middle are constrained and in conformation to the two fundamental principles of physics, mechanical laws and laws of thermodynamics, at the two apices at the top and the bottom

Byung Chan Eu

Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics Volume 2. Relativistic Theories

123

Byung Chan Eu Department of Chemistry McGill University Montreal, QC Canada

ISBN 978-3-319-41152-1 DOI 10.1007/978-3-319-41153-8

ISBN 978-3-319-41153-8

(eBook)

Library of Congress Control Number: 2016943386 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland

Preface

In Volume 2 of the monograph entitled Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Hydrodynamics, relativistic theories are presented for dilute monatomic gases and photons by using covariant kinetic equations. Kinetic equations employed are covariant versions of Boltzmann kinetic equations and the Nordholm–Uehling–Uhlenbeck quantum kinetic equations applied to a mixture of material gases and photon gases. By using the aforementioned kinetic equations, we develop kinetic theories for relativistic irreversible thermodynamics and hydrodynamics in a parallel manner to the nonrelativistic theories we have presented in Volume 1 of the monograph. The materials were based on the manuscripts written in collaboration with Dr. Kefei Mao many years ago, which also made up a part of h