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Introduction to Modern Statistical Mechanics

David Chandler

Publication Date - 17 September 1987

ISBN: 9780195042771

288 pages
Paperback

In Stock

Description

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.

A solutions manual for this text is available with ISBN: 9780195058895.

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 Legendre 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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