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[加拿大] 普利史可 著 / 世界图书出版公司 / 2010-08 / 平装
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平衡态统计物理学(第3版)
Duringthelastdecadeeachoftheauthorshasregularlytaughtagraduateorseniorundergraduatecourseinstatisticalmechanics.Duringthissameperiod,therenormalizationgroupapproachtocriticalphenomena,pioneeredbyK.G.Wilson,greatlyalteredourapproachtocondensedmatterphysics.Sinceitsintroductioninthecontextofphasetransitions,themethodhasfoundapplicationinmanyotherareasofphysics,suchasmany-bodytheory,chaos,theconductivityofdisorderedmaterials,andfractalstructures.Sopervasiveisitsinfluencethatwefeelthatitnowessentialthatgraduatestudentsbeintroducedatanearlystageintheircareertotheconceptsofscaling。
PrefacetotheFirstEditionPrefacetotheSecondEditionPrefacetotheThirdEdition1ReviewofThermodynamics1.1StateVariablesandEquationsofState1.2LawsofThermodynamics1.2.1Firstlaw1.2.2Secondlaw1.3ThermodynamicPotentials1.4Gibbs-DuhemandMaxwellRelations1.5ResponseFunctions1.6ConditionsforEquilibriumandStability1.7MagneticWork1.8ThermodynamicsofPhaseTransitions1.9Problems2StatisticalEnsembles2.1IsolatedSystems:MicrocanonicalEnsemble2.2SystemsatFixedTemperature:CanonicalEnsemble2.3GrandCanonicalEnsemble2.4QuantumStatistics2.4.1Harmonicoscillator2.4.2Noninteractingfermions2.4.3Noninteractingbosons2.4.4Densitymatrix2.5MaximumEntropyPrinciple2.6ThermodynamicVariationalPrinciples.2.6.1Schottkydefectsinacrystal2.7Problems3MeanFieldandLandauTheory3.1MeanFieldTheoryoftheIsingModel3.2Bragg-WilliamsApproximation3.3AWordofWarning3.4BetheApproximation3.5CriticalBehaviorofMeanFieldTheories3.6IsingChain:ExactSolution3.7LandauTheoryofPhaseTransitions3.8SymmetryConsiderations3.8.1Pottsmodel3.9LandauTheoryofTricriticalPoints3.10Landau-GinzburgTheoryforFluctuations3.11MulticomponentOrderParameters:n-VectorModel3.12Problems4ApplicationsofMeanFieldTheory4.1Order-DisorderTransition4.2Maier-SanpeModel4.3Blume——Emery-GriflithsModel4.4MeanFieldTheoryofFluids:vanderWaalsApproach4.5SpruceBudwormModel4.6ANon-EquilibriumSystem:TwoSpeciesAsymmetricExclusionModel4.7Problems5DenseGasesandLiquids5.1VirialExpansion5.2DistributionFunctions5.2.1Paircorrelationfunction5.2.2BBGKYhierarchy5.2.3Ornstein-Zernikeequation5.3PerturbationTheory5.4InhomogeneousLiquids5.4.1Liquid-vaporinterface5.4.2Capillarywaves5.5Density-FunctionalTheory5.5.1Functionaldifferentiation5.5.2Free-energyfunctionalsandcorrelationfunctions5.5.3Applications5.6Problems6CriticalPhenomenaI6.1IsingModelinTwoDimensions6.1.1Transfermatrix6.1.2Transformationtoaninteractingfermionproblem6.1.3Calculationofeigenvalues6.1.4Thermodynamicfunctions6.1.5Concludingremarks6.2SeriesExpansions6.2.1High-temperatureexpansions6.2.2Low-temperatureexpansions6.2.3Analysisofseries6.3Scaling6.3.1Thermodynamicconsiderations6.3.2Scalinghypothesis6.3.3Kadanoffblockspins6.4Finite-SizeScaling6.5Universality6.6Kosterlitz-ThoulessTransition6.7Problems7CriticalPhenomenaII:TheRenormalizationGroup7.1TheIsingChainRevisited7.2FixedPoints7.3AnExactlySolvableModel:IsingSpinsonaDiamondFractal7.4PositionSpaceRenormalization:CumulantMethod7.4.1First-orderapproximation7.4.2Second-orderapproximation7.5OtherPositionSpaceRenormalizationGroupMethods7.5.1Finitelatticemethods7.5.2Adsorbedmonolayers:Isingantiferromagnet7.5.3MonteCarlorenormalization7.6Phenomen01ogicalRenormalizationGroup7.7Thee-Expansion7.7.1TheGaussianmodel7.7.2TheS4model7.7.3ConclusionAppendix:SecondOrderCumulantExpansion7.8Problems8StochasticProcesses8.1MarkovProcessesandtheMasterEquation8.2BirthandDeathProcesses8.3BranchingProcesses8.4Fokker-PlanckEquation8.5Fokker-PlanckEquationwithSeveralVariables:SIRModel8.6JumpMomentsforContinuousVariables8.6.1Brownianmotion8.6.2RayleighandKramersequations8.7Diffusion,FirstPassageandEscape8.7.1Naturalboundaries:TheKimura-Weissmodelforgeneticdrift8.7.2Artificialboundaries8.7.3Firstpassagetimeandescapeprobability8.7.4Kramersescaperate8.8TransformationsoftheFokker-PlanckEquation8.8.1Heterogeneousdiffusion8.8.2TransformationtotheSchrSdingerequation8.9Problems9Simulations9.1MolecularDynamics9.1.1Conservativemoleculardynamics9.1.2Browniandynamics9.1.3Dataanalysis9.2MonteCarloMethod9.2.1DiscretetimeMarkovprocesses9.2.2DetailedbalanceandtheMetropolisalgorithm9.2.3Histogrammethods9.3DataAnalysis9.3.1Fluctuations……10PolymersandMembranes11QuantumFluids12LinearResponseTheory13DisorderedSystems
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