Introduction to Modern Statistical Mechanics

Paperback | September 1, 1987

byDavid Chandler

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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 compactsummaries 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.

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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 compactsummaries of the fundamentals of this branch of phy...

David Chandler is at University of California, Berkeley.

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Format:PaperbackDimensions:288 pages, 6.14 × 9.25 × 0.55 inPublished:September 1, 1987Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0195042778

ISBN - 13:9780195042771

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Table of Contents

Chapter 1: Thermodynamics, FundamentalsFirst Law of ThermodynamicsSecond LawVariational Statement of Second LawApplication: Thermal Equilibrium and TemperatureAuxiliary Functions and Legendre TransformsMaxwell RelationsExtensive Functions and the Gibbs-Duhem EquationIntensive FunctionsChapter 2: Conditions for Equilibrium and StabilityMultiphase EquilibriumStabilityApplication to Phase EquilibriaPlane InterfacesChapter 3: Statistical MechanicsThe Statistical Method and EnsemblesMicrocanonical Ensemble and the Rational Foundation of ThermodynamicsCanonical EnsembleA Simple ExampleGeneralized Ensembles and the Gibbs Entropy FormulaFluctuations Involving Uncorrelated ParticlesAlternative Development of Equilibrium Distribution FunctionsChapter 4: Non-Interacting (Ideal) SystemsOccupation NumbersPhoton GasPhonon GasIdeal Gases of Real ParticlesElectrons in MetalsClassical Ideal Gases, the Classical LimitThermodynamics of an Ideal Gas of Structureless Classical ParticlesA Dilute Gas of AtomsA Dilute Gas of Diatomic MoleculesChemical Equilibria in GasesChapter 5: Statistical Mechanical Theory of Phase TransitionsIsing ModelLattice GasBroken Symmetry and Range of CorrelationsMean Field TheoryVariational Treatment of Mean Field TheoryRenormalization Group (RG) TheoryRG Theory for the Two Dimensional Ising ModelIsomorphism Between Two-Level Quantum Mechanical System and the Ising ModelChapter 6: Monte Carlo Method in Statistical MechanicsTrajectoriesA Monte Carlo TrajectoryNon-Boltzmann SamplingQuantum Monte CarloChapter 7: Classical FluidsAverages in Phase SpaceReduced Configurational Distribution FunctionsReversible Work TheoremThermodynamic Properties from g(r)Measurement of g(r) by DiffractionSolvation and Chemical Equilibrium in LiquidsMolecular LiquidsMonte Carlo for Hard DisksChapter 8: Statistical Mechanics of Non-Equilibrium SystemsSystems Close to EquilibriumOnsager's Regression Hypothesis and Time Correlation FunctionsApplication: Chemical KineticsAnother Application: Self DiffusionFluctuation Dissipation TheoremResponse FunctionsAbsorptionFriction and the Langevin Equation

Editorial Reviews

"This is a book which pleases in many ways. The author's style is engaging, the questions sprinkled throughout the whole book are both entertaining and interesting." --Education in Chemistry