Introduction to Modern Statistical Mechanics

ISBN-10: 0195042778

ISBN-13: 9780195042771

Edition: 1987

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Description:

This text developed from materials the author has used in a one-semester course on elementary statistical mechanics. It assumes readers have had courses in calculus and physical chemistry. Its purpose is not only to give students a deeper understanding of thermodynamics and the principles of equilibrium statistical mechanics, but also to introduce them to the modern topics of Monte Carlo sampling, renormalization group theory, and the fluctuation-dissipation theorem. By frequentuse of simplified models, the author has kept the mathematics in the text relatively simple while presenting many of the sophisticated ideas in the field. His approach is to deal first with macroscopic thermodynamics, then with microscopic statistical principles. The Second Law of Thermodynamicsappears as the direct consequence of the statistical assumption that microscopic equilibrium is the state of greatest randomness. The different ensembles and the role of fluctuations are treated before non-interacting ideal systems and phase transformations are discussed. The treatment of phase transitions relies on the Ising model, which is also used to explain the Monte Carlo method. The last two chapters deal with equilibrium statistical mechanics of classical fluids and with dynamics,that is, relaxation an molecular motion in macroscopic systems which are at or close to equilibrium.This is a forward-looking text suitable for use by advanced undergraduate or beginning graduate students of chemistry, biochemistry, chemical engineering and physics.
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Book details

Copyright year: 1987
Publisher: Oxford University Press, Incorporated
Publication date: 9/17/1987
Binding: Paperback
Pages: 288
Size: 6.25" wide x 9.25" long x 0.50" tall
Weight: 1.144
Language: English

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
Conditions for Equilibrium and Stability
Multiphase Equilibrium
Stability
Application to Phase Equilibria
Plane Interfaces
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
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
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
Monte Carlo Method in Statistical Mechanics
Trajectories
A Monte Carlo Trajectory
Non-Boltzmann Sampling
Quantum Monte Carlo
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
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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