

Statistical Mechanics Made Simple: A Guide for Students and Researchers
Price:
66.94 USD
Product DetailsAuthor Name: Mattis, Daniel Charles Binding: Hardcover Book Condition: Very Good Type ExLibrary Publisher U.S.A. World Scientific Publishing Company 2003 ISBN Number 9812381651 / 9789812381651 Seller ID 019945
This book is an elaboration of the author's lecture notes in a graduate course in thermodynamics and statistical mechanics. The original notes supplemented topics lacking in traditional texts. In its present augmented version the book may be used as the sole or primary text in a onesemester course in thermodynamics/statistical mechanics or as an adjunct text in a twosemester course.
Statistical mechanics is the application of physics or chemistry at finite temperature T and can encompass as many topics involving these disciplines as one wishes. As much as the quality of presentation, it is the choice of topics that distinguishes from one another the scores of textbooks with the word "statistical" or "statistics" in the title. The present book is intended to respond to the curiosity of the reader about fundamental principles. It shows in detail how one solves the problems that arise in connection with these principles. There are some 50 problems scattered throughout the text and a similar number of illustrations. All the mathematics is selfcontained, including the development of fieldtheoretic methods in the later, more difficult, chapters. The emphasis is not just on the topics, but on the mathematics used to understand them and on the methods of solution. The book starts by answering the following questions: Where does thermodynamics "come from"? What is temperature and how might one achieve negative temperatures (metastable states) for interacting spins? What are the various free energies and how do they differ? What is an equation of state and what is the nature of thermodynamic phase transitions? Why does the modern theory of criticalpoint phenomena disagree with van derWaals' original Law of Corresponding States? The book also includes a number of nonstandard topics, such as the exact construction of the thermodynamic properties in onedimensional systems and the generalization to "transfermatrices" with which to solve for the free energy and correlations in translationally invariant systems of all sorts. It provides the exact solution to a model Boltzmann equation for the electrical conductivity of a metal or semiconductor  thereby pinpointing the sources of Joule heating. There are sections on the propagation and dissipation of sound waves in a fluid, obtained by finding the solutions to the same linearized Boltzmann equation in the representation of eigenstates of the twobody collision operator. In fact, the use of operators and operator algebra to solve coupled linear equations is a main characteristic of this book. One obvious application is to superfluidity and superconductivity. In addition to the Bogoliubov treatment of the weakly interacting Bose gas, the author also demonstrates the Feynman  Cohen semiphenomenological theory. He considers superconductivity both thermodynamically and from the microscopic point of view of BCS theory. He uses the quantum field theory of Doi to model the "master equation" for diffusionlimited chemical reactions and uses the solutions to calculate the various rates and other properties. He discusses the Mermin  Wagner  Hohenberg theorem, which precludes longrange order in lowdimensional systems. Finally, he derives the thermodynamic Green functions and their equations of motion and apply them to glassy and amorphous materials. This allows a fairly detailed resolution of the wellknown conundrum:Why does the T"3" heat capacity of crystalline materials suddenly become linear in T when applied to glass, and what happens to the propagation of longwavelength sound in the glassy material? 
Questions, comments, or suggestions Please write to greentextbooks@comcast.net Copyright©2016. All Rights Reserved. Powered by ChrisLands.com 
