Mesoscopic Theories of Heat Transport in Nanosystems
This book presents generalized heat-conduction laws which, from a mesoscopic perspective, are relevant to new applications (especially in nanoscale heat transfer, nanoscale thermoelectric phenomena, and in diffusive-to-ballistic regime) and at the same ti
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Mesoscopic Theories of Heat Transport in Nanosystems
Se MA
SEMA SIMAI Springer Series Series Editors: Luca Formaggia • Pablo Pedregal (Editors-in-Chief) Amadeu Delshams • Jean-Frédéric Gerbeau • Carlos Parés • Lorenzo Pareschi • Andrea Tosin • Elena Vazquez • Jorge P. Zubelli • Paolo Zunino Volume 6
More information about this series at http://www.springer.com/series/10532
Antonio Sellitto • Vito Antonio Cimmelli • David Jou
Mesoscopic Theories of Heat Transport in Nanosystems
123
Vito Antonio Cimmelli Department of Mathematics Computer Science and Economics UniversitJa della Basilicata Potenza, Italy
Antonio Sellitto Department of Mathematics Computer Science and Economics UniversitJa della Basilicata Potenza, Italy and Department of Industrial Engineering Univesità degli Studi di Salerno Salerno, Italy
ISSN 2199-3041 SEMA SIMAI Springer Series ISBN 978-3-319-27205-4 DOI 10.1007/978-3-319-27206-1
David Jou Department of Physics Universitat AutJonoma de Barcelona Bellaterra, Catalonia, Spain
ISSN 2199-305X
(electronic)
ISBN 978-3-319-27206-1
(eBook)
Library of Congress Control Number: 2016930309 Springer Cham Heidelberg New York Dordrecht London © 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 Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
The Authors at 12th Joint European Thermodynamics Conference in Brescia, Italy. From left to right: Antonio Sellitto, Vito Antonio Cimmelli, David Jou
Preface
Heat transport has been an essential topic in the foundations of thermodynamics since the beginnings of the nineteenth century. Fourier’s mathematical description of heat transport served as a stimulus for mathematics (Fourier transforms arose because of the need to solve the classical heat equation following from the Fourier law), for physics (it provided a model and source of inspiration for the mathematical descripti
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