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By the end of this book, however, you will be well positioned to read more advanced textbooks including those with more specialized themes, some of which are listed in Appendix E. The end result is this book, serving as a gentle introduction to the subject. Instead, the emphasis is on making the basic ideas of statistical mechanics accessible to the intended audience. Thus, I did not try to showcase various applications of statistical mechanics, of which there are many. My intention, therefore, is not to replace many excellent textbooks on statistical mechanics that exist today, but to ease the transition into such textbooks. Grounds necessary to understand the basic ideas of statistical mechanics and quickly move onto more specific topics of their own interest. This book is meant to fill in the gap felt by such students, who need to efficiently absorb only those essential back. For some, these subjects are entirely foreign. However, these subjects fall outside the expected background of engineering students. Because statistical mechanics is built on the basis of classical and quantum mechanics, some elementary knowledge of these subjects proves essential in order to access the existing textbooks on statistical mechanics in any meaningful manner. As such, it is becoming increasingly more relevant to engineering problems, requiring majority of engineering students to develop more than just a passing acquaintance with the basic results of this subject. It can also provide a wealth of molecular level insights that is otherwise inaccessible even experimentally. Equilibrium statistical mechanics provides a general framework for constructing the fundamental equation from a molecular level description of the system of interest.
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It is in this context that the method of statistical mechanics becomes important for us. Thus, an approach based solely on thermodynamics is not sufficient if we hope to achieve desired materials properties through manipulation of nanoscale features and/or molecular level architecture of materials. Being a science built on a set of macroscopic observations, thermodynamics does not offer any systematic way of incorporating molecular level information, either. Instead, the fundamental equation must be determined empirically for each system of our interest. However, thermodynamics itself does not predict the explicit form of this function. From one such equation many profound predictions follow in a completely general fashion. In thermodynamics, a concept of fundamental equations plays a prominent role. After all, validity of thermodynamics has long been established. If a microscopic interpretation of the laws of thermodynamics were the only outcome of this branch of science, statistical mechanics would not appeal to those of us who simply wish to use thermodynamics to perform practical calculations. Why should an engineer care about statistical mechanics? Historically, statistical mechanics evolved out of the desire to explain thermodynamics from fundamental laws of physics governing behavior of atoms and molecules. The purpose of writing this book is to explain basic concepts of equilibrium statistical mechanics to the first year graduate students in engineering departments. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (To the memory of the late Professor Kazumi Nishioka, to whom I owe everything I know about thermodynamics. 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. 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.
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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 use of general descriptive names, registered names, trademarks, service marks, etc. 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. Library of Congress Control Number: 2015930827 Springer Cham Heidelberg New York Dordrecht London c Springer International Publishing Switzerland 2015 This work is subject to copyright. The Ohio State University Columbus Ohio USAĪdditional material to this book can be downloaded from.