统计物理学（第2卷）

1.BrownianMotion
1.1BrownianMotionasaStochasticProcess
1.2TheCentralLimitTheoremandBrownianMotion
1.3TheLangevinEquationandHarmonicAnalysis
1.4GaussianProcesses
1.5BrownianMotionModeledbyaGaussianProcess
1.6TheFluctuation-DissipationTheorem
2.PhysicalProcessesasStochasticProcesses
2.1RandomFrequencyModulation
2.2BrownianMotionRevisited
2.3MarkovianProcesses
2.4Fokker-PlanckEquation
2.5ContractionofInformation.ProjectedProcesses
2.6DerivationofMasterEquations
2.7BrownianMotionofaQuantalSystem
2.8BoltzmannEquation
2.9Generalized.LangevinEquationandtheDampingTheory
3.RelaxationandResonanceAbsorption
3.1LinearIrreversibleProcesses
3.1.1MechanicalandThermalForcesvsDisplacementsandCurrents
3.1.2LinearRelations
3.1.3ResponsetoaPulsedForce
3.1.4RelaxationPhenomena
3.2ComplexAdmittance
3.2.1Harmonic(Fourier)Analysis
3.2.2EnergyDissipation
3.3DebyeRelaxation
3.3.1DielectricRelaxation
3.3.2ResponseFunctionswithExponentialDamping
3.3.3SolutionofPolarMolecules
3.4ResonanceAbsorption
3.4.1VanVleck-Weisskopf-FrohlichTypeResonanceAbsorption
3.4.2NuclearMagneticResonance
3.4.3FailureatHighFrequencies
3.5WaveNumber-DependentComplexAdmittance
3.5.1Non-MarkovianNonlocalLinearRelations
3.5.2ComplexAdmittancefortheDiffusionPhenomenon
3.6DispersionRelations
3.6.1ProofoftheDispersionRelations
3.6.2DispersionRelationsandCausality
3.6.3AnalyticalContinuationintotheComplexPlane
3.7SumRulesandInterpolationFormulas
3.7.1MomentSumRules
3.7.2Non-MarkovianLawofDiffusion
4.StatisticalMechanicsofLinearResponse
4.1StaticResponsetoExternalForce
4.1.1StaticAdmittanceandtheCanonicalCorrelation
4.2DynamicResponsetoExternalForce
4.2.1TheResponseFunctionandthePoissonBracket
4.2.2KuboFormula
4.2.3InitialValuesoftheResponseFunctionandItsDerivatives
4.3SymmetryandtheDispersionRelations
4.3.1SpectralFunctionandItsSymmetry
4.3.2SymmetryintheCurrentResponse
4.3.3SymmetryintheDisplacementResponse
4.3.4ProofoftheDispersionRelations
4.4FluctuationandDissipationTheorem
4.4.1SymmetrizedCorrelation
4.4.2TheEquivalenceBetweentheSymmetrizedCorrelationFunctionandtheResponseortheRelaxationFunction
4.4.3Fluctuation-DissipationTheorem
4.5DensityResponse,ConductionandDiffusion
4.5.1DensityandCurrentinResponsetotheExternalField
4.5.2RelaxationoftheDensityResponseandtheDensityFluctuation
4.5.3ShieldingoftheExternalPotential
4.5.4ResistivityFormula
4.5.5DielectricShieldingandElectricConductivity
4.5.6Kramers-KronigRelationsandtheSumRules
4.6ResponsetoThermalInternalForces
4.6.1Onsager'sPostulate
4.6.2FluctuationofMacrovariablesasBrownianMotion
4.6.3AGeneralFormulationofOnsager'sPostulate
4.6.4NonequilibriumDensityMatrix
4.7SomeRemarksontheLinear-ResponseTheory
4.7.1TheKineticMethodVersustheLinear-ResponseTheory
4.7.2VanKampen'sObjection
4.7.3SpuriousSingularitiesattheZeroValueoftheExternalField
4.7.4Singularitiesatk=0,=0
5.QuantumFieldTheoreticalMethodsinStatisticalMechanics
5.1Double-TimeGreen'sFunctions
5.1.1RetardedGreen'sFunctions
5.1.2AdvancedGreen'sFunctions
5.2ChainofEquationsofMotionandtheDecouplingApproximation
5.2.1ChainofEquationsofMotion
5.2.2ComplexDielectricFunctionofaPlasmainaDecouplingApproximation
5.3RelationtotheKineticEquation
5.3.1KlimontovichOperator
5.3.2Self-ConsistentFieldApproximation
5.3.3PlasmaOscillation
5.4Single-ParticleGreen'sFunctionandtheCausalGreen'sFunction
5.4.1Single-ParticleGreen'sFunctions
5.4.2Single-ParticleGreen'sFunctionsforFreeParticles
5.4.3CausalGreen'sFunctions
5.5BasicFormulaforPerturbationalExpansion
5.5.1PerturbationalExpansionoftheEquilibriumDensityMatrix
5.5.2PerturbationalExpansionoftheThermodynamicPotential
5.6TemperatureGreen'sFunction
5.6.1TemperatureGreen'sFunctions(Matsubara-Green'sFunctions)
5.6.2FourierAnalysisoftheTemperatureGreen'sFunction
5.6.3Single-ParticleTemperatureGreen'sFunctionforNoninteractingParticles
5.6.4Abrikosov-Gor'kov-Dzyaloshinskii-FradkinTheorem
5.7DiagramTechnique
5.7.1Bloch-DeDominicisTheorem
5.7.2PerturbationalExpansionofo
5.7.3CorrespondencewithFeynmanDiagrams
5.7.4MatsubaraFormula
5.8DysonEquation
5.8.1Single-ParticleTemperatureGreen'sFunction
5.8.2GraphicalSummation
5.8.3FeynmanRules
5.9RelationshipBetweentheThermodynamicPotentialandtheTemperatureGreen'sFunction
5.10SpecialCaseoftheTwo-ParticleGreen'sFunction
5.10.1Two-ParticleGreen'sFunctionofZeroth-OrderforaPlasma
5.10.2PolarizationOperator
5.10.3ElectricChargeDensityGreen'sFunction
GeneralBibliographyofTextbooks
References
SubjectIndex