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Introduction to Modern Statistical Mechanics

Introduction to Modern Statistical Mechanics - 87 edition

ISBN13: 978-0195042771

Cover of Introduction to Modern Statistical Mechanics 87 (ISBN 978-0195042771)
ISBN13: 978-0195042771
ISBN10: 0195042778
Cover type:
Edition/Copyright: 87
Publisher: Oxford University Press
Published: 1987
International: No
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Introduction to Modern Statistical Mechanics - 87 edition

ISBN13: 978-0195042771

David G. Chandler

ISBN13: 978-0195042771
ISBN10: 0195042778
Cover type:
Edition/Copyright: 87
Publisher: Oxford University Press

Published: 1987
International: No
Summary

Leading physical chemist David Chandler takes a new approach to statistical mechanics to provide the only introductory-level work on the modern topics of renormalization group theory, Monte Carlo simulations, time correlation functions, and liquid structure. The author provides compact summaries of the fundamentals of this branch of physics and discussions of many of its traditional elementary applications, interspersed with over 150 exercises and microcomputer programs.

Table of Contents

Chapter 1: Thermodynamics, Fundamentals

First Law of Thermodynamics
Second Law
Variational Statement of Second Law
Application: Thermal Equilibrium and Temperature
Auxiliary Functions and Legend Transforms
Maxwell Relations
Extensive Functions and the Gibbs-Duhem Equation
Intensive Functions

Chapter 2: Conditions for Equilibrium and Stability

Multiphase Equilibrium
Stability
Application to Phase Equilibria
Plane Interfaces

Chapter 3: Statistical Mechanics

The Statistical Method and Ensembles
Microcanonical Ensemble and the Rational Foundation of Thermodynamics
Canonical Ensemble
A Simple Example
Generalized Ensembles and the Gibbs Entropy Formula
Fluctuations Involving Uncorrelated Particles
Alternative Development of Equilibrium Distribution Functions

Chapter 4: Non-Interacting (Ideal) Systems

Occupation Numbers
Photon Gas
Phonon Gas
Ideal Gases of Real Particles
Electrons in Metals
Classical Ideal Gases, the Classical Limit
Thermodynamics of an Ideal Gas of Structureless Classical Particles
A Dilute Gas of Atoms
A Dilute Gas of Diatomic Molecules
Chemical Equilibria in Gases

Chapter 5: Statistical Mechanical Theory of Phase Transitions

Ising Model
Lattice Gas
Broken Symmetry and Range of Correlations
Mean Field Theory
Variational Treatment of Mean Field Theory
Renormalization Group (RG) Theory
RG Theory for the Two Dimensional Ising Model
Isomorphism Between Two-Level Quantum Mechanical System and the Ising Model

Chapter 6: Monte Carlo Method in Statistical Mechanics

Trajectories
A Monte Carlo Trajectory
Non-Boltzmann Sampling
Quantum Monte Carlo

Chapter 7: Classical Fluids

Averages in Phase Space
Reduced Configurational Distribution Functions
Reversible Work Theorem
Thermodynamic Properties from g(r)
Measurement of g(r) by Diffraction
Solvation and Chemical Equilibrium in Liquids
Molecular Liquids
Monte Carlo for Hard Disks

Chapter 8: Statistical Mechanics of Non-Equilibrium Systems

Systems Close to Equilibrium
Onsager's Regression Hypothesis and Time Correlation Functions
Application: Chemical Kinetics
Another Application: Self Diffusion
Fluctuation Dissipation Theorem
Response Functions
Absorption
Friction and the Langevin Equation

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