平衡态统计物理学（第3版）

图书标准信息

• 作者 [加拿大]普利史可 著
• 出版社 世界图书出版公司
• 出版时间 2010-08
• 版次 3
• ISBN 9787510024009
• 定价 79.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 620页
• 正文语种 英语

【内容简介】

Duringthelastdecadeeachoftheauthorshasregularlytaughtagraduateorseniorundergraduatecourseinstatisticalmechanics.Duringthissameperiod，therenormalizationgroupapproachtocriticalphenomena，pioneeredbyK.G.Wilson，greatlyalteredourapproachtocondensedmatterphysics.Sinceitsintroductioninthecontextofphasetransitions，themethodhasfoundapplicationinmanyotherareasofphysics，suchasmany-bodytheory，chaos，theconductivityofdisorderedmaterials，andfractalstructures.Sopervasiveisitsinfluencethatwefeelthatitnowessentialthatgraduatestudentsbeintroducedatanearlystageintheircareertotheconceptsofscaling。

【目录】

PrefacetotheFirstEdition
PrefacetotheSecondEdition
PrefacetotheThirdEdition

1ReviewofThermodynamics
1.1StateVariablesandEquationsofState
1.2LawsofThermodynamics
1.2.1Firstlaw
1.2.2Secondlaw
1.3ThermodynamicPotentials
1.4Gibbs-DuhemandMaxwellRelations
1.5ResponseFunctions
1.6ConditionsforEquilibriumandStability
1.7MagneticWork
1.8ThermodynamicsofPhaseTransitions
1.9Problems

2StatisticalEnsembles
2.1IsolatedSystems：MicrocanonicalEnsemble
2.2SystemsatFixedTemperature：CanonicalEnsemble
2.3GrandCanonicalEnsemble
2.4QuantumStatistics
2.4.1Harmonicoscillator
2.4.2Noninteractingfermions
2.4.3Noninteractingbosons
2.4.4Densitymatrix
2.5MaximumEntropyPrinciple
2.6ThermodynamicVariationalPrinciples.
2.6.1Schottkydefectsinacrystal
2.7Problems

3MeanFieldandLandauTheory
3.1MeanFieldTheoryoftheIsingModel
3.2Bragg-WilliamsApproximation
3.3AWordofWarning
3.4BetheApproximation
3.5CriticalBehaviorofMeanFieldTheories
3.6IsingChain：ExactSolution
3.7LandauTheoryofPhaseTransitions
3.8SymmetryConsiderations
3.8.1Pottsmodel
3.9LandauTheoryofTricriticalPoints
3.10Landau-GinzburgTheoryforFluctuations
3.11MulticomponentOrderParameters：n-VectorModel
3.12Problems

4ApplicationsofMeanFieldTheory
4.1Order-DisorderTransition
4.2Maier-SanpeModel
4.3Blume——Emery-GriflithsModel
4.4MeanFieldTheoryofFluids：vanderWaalsApproach
4.5SpruceBudwormModel
4.6ANon-EquilibriumSystem：TwoSpeciesAsymmetricExclusionModel
4.7Problems

5DenseGasesandLiquids
5.1VirialExpansion
5.2DistributionFunctions
5.2.1Paircorrelationfunction
5.2.2BBGKYhierarchy
5.2.3Ornstein-Zernikeequation
5.3PerturbationTheory
5.4InhomogeneousLiquids
5.4.1Liquid-vaporinterface
5.4.2Capillarywaves
5.5Density-FunctionalTheory
5.5.1Functionaldifferentiation
5.5.2Free-energyfunctionalsandcorrelationfunctions
5.5.3Applications
5.6Problems

6CriticalPhenomenaI
6.1IsingModelinTwoDimensions
6.1.1Transfermatrix
6.1.2Transformationtoaninteractingfermionproblem
6.1.3Calculationofeigenvalues
6.1.4Thermodynamicfunctions
6.1.5Concludingremarks
6.2SeriesExpansions
6.2.1High-temperatureexpansions
6.2.2Low-temperatureexpansions
6.2.3Analysisofseries
6.3Scaling
6.3.1Thermodynamicconsiderations
6.3.2Scalinghypothesis
6.3.3Kadanoffblockspins
6.4Finite-SizeScaling
6.5Universality
6.6Kosterlitz-ThoulessTransition
6.7Problems

7CriticalPhenomenaII：TheRenormalizationGroup
7.1TheIsingChainRevisited
7.2FixedPoints
7.3AnExactlySolvableModel：IsingSpinsonaDiamondFractal
7.4PositionSpaceRenormalization：CumulantMethod
7.4.1First-orderapproximation
7.4.2Second-orderapproximation
7.5OtherPositionSpaceRenormalizationGroupMethods
7.5.1Finitelatticemethods
7.5.2Adsorbedmonolayers：Isingantiferromagnet
7.5.3MonteCarlorenormalization
7.6Phenomen01ogicalRenormalizationGroup
7.7Thee-Expansion
7.7.1TheGaussianmodel
7.7.2TheS4model
7.7.3Conclusion
Appendix：SecondOrderCumulantExpansion
7.8Problems

8StochasticProcesses
8.1MarkovProcessesandtheMasterEquation
8.2BirthandDeathProcesses
8.3BranchingProcesses
8.4Fokker-PlanckEquation
8.5Fokker-PlanckEquationwithSeveralVariables：SIRModel
8.6JumpMomentsforContinuousVariables
8.6.1Brownianmotion
8.6.2RayleighandKramersequations
8.7Diffusion，FirstPassageandEscape
8.7.1Naturalboundaries：TheKimura-Weissmodelforgeneticdrift
8.7.2Artificialboundaries
8.7.3Firstpassagetimeandescapeprobability
8.7.4Kramersescaperate
8.8TransformationsoftheFokker-PlanckEquation
8.8.1Heterogeneousdiffusion
8.8.2TransformationtotheSchrSdingerequation
8.9Problems

9Simulations
9.1MolecularDynamics
9.1.1Conservativemoleculardynamics
9.1.2Browniandynamics
9.1.3Dataanalysis
9.2MonteCarloMethod
9.2.1DiscretetimeMarkovprocesses
9.2.2DetailedbalanceandtheMetropolisalgorithm
9.2.3Histogrammethods
9.3DataAnalysis
9.3.1Fluctuations
……
10PolymersandMembranes
11QuantumFluids
12LinearResponseTheory
13DisorderedSystems