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STATISTICAL MECHANICS

by Shang-Keng Ma

This is a unique and exciting graduate and advanced undergraduate text written by a highly respected physicist who had made significant contributions to the subject. This book conveys to the reader that statistical mechanics is a growing and lively subject. It deals with many modern topics from a physics standpoint in a very physical way. Particular emphasis is given to the fundamental assumption of statistical mechanics S=1n and its logical foundation. Calculational rules are derived without resorting to abstract ensemble theory.


Contents:

  • Equilibrium
  • Basic Concepts of Thermodynamics
  • Law of Detailed Balance
  • Electrons in Metals
  • Entropy and Molecular Motion
  • Elementary Applications of the Basic Assumption
  • Rules of Calculation
  • Illustrative Examples
  • Yang-Lee Theorem
  • Probability and Statistics
  • Independence and Chaos
  • Sum of Many Independent Variables
  • Correlation Functions
  • Corrections to the Ideal Gas Law
  • Phase Equilibrium
  • Magnetism
  • Ising Model
  • Impurities and Motion
  • Electrostatic Interaction
  • The Equation of Motion for Gas
  • Diffusion Equation
  • Numerical Simulation
  • Laws of Thermodynamics
  • Echo Phenomena
  • Entropy Calculation from the Trajectory of Motion
  • The Origin
  • Mean Field Solutions
  • Fluctuation of the Boundary Surface
  • Models with Continuous Symmetry
  • Theory of Superfluidity


Readership: Physicists, chemists and applied mathematicians.


"A delight to read and provides such a firm foundation for further study in statistical mechanics that I, for one, will use it the next time I teach introductory statistical mechanics."

Journal of Statistical Physics (USA)





"This book could potentially take a place alongside the classic monograph of Landau and Lifshitz as a valuable reference tool. Ma's book will almost certainly provide a challenge to the intellects of a growing number of active researchers. The instructor who adopts the book as a primary text will welcome the generous number of problems that appear at the end of each of the 30 chapters."

Physics Today





"We liked this book when it first came out (and so we said in one of these reviews), and we like it even better now. It has pleasant probabilistic overtones and few pictures (which often in statistical mechanics are not a replacement for a thousand words, but for a lack of proof)."

Advances in Mathematics




576pp Pub. date: May 1985
ISBN 978-9971-966-06-5
9971-966-06-9
US$90 / £55
ISBN 978-9971-966-07-2
9971-966-07-7
US$48 / £29
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Updated on 17 November 2008