研究生前沿教材书系：平衡统计物理学（第2版）（英文影印版）

图书标准信息

• 作者 [加拿大]普里斯科、[加]伯格森 著
• 出版社 复旦大学出版社
• 出版时间 2006-11
• 版次 2
• ISBN 9787309052008
• 定价 50.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 520页
• 正文语种 英语

【内容简介】

　　这是针对从事物理、化学和材料科学的研究生和高年级本科生的专业需求编写的统计物理教材。早在1980年，作者们发现由K.G.Wilson率先将重整化群方法引入临界现象并取得成功之后，凝聚态物理的研究进入了飞速发展的黄金时代，因此认为研究生的早期教学工作应当反映这方面的动态。为此于1989年率先由Prentice-Hall出版公司出版了反映这方面特色的《平衡统计物理学》，1994年经过修订，转到WorldScientific出版了《平衡统计物理学》第一版，1999年出版了第二版，现在呈现在读者面前的是2003年的版本。
　　全书共分11章，前两章分别复习热力学和统计系统理论，这部分内容既是读者学习后面各章的基础，也是为了本科期间没有接触过热力学和统计物理的学生设计的。两章都有大量习题，可以帮助读者加深理解。后面各章分别讲述平均场和朗道理论、致密气体和液体、临界现象的二维伊辛模型、级数展开、标度律、重整化群方法等。第七章介绍动力学模拟方法。八、九、十、十一各章介绍统计物理最活跃的应用领域:聚合物和薄膜、量子流体、线性响应理论、无序系统等。由于《平衡统计物理学》的后半部分涉及二次量子化的概念，因此在附录中补充了占有数表象的内容。《平衡统计物理学》每章都有不少的习题，越到后面各章，习题的难度越来越有挑战性。作者们还专门编写了《习题解答》，有需要的教师或读者可通过互联网

【作者简介】

　　MichaelPlischke
　　加拿大SimonFraser大学物理系主任，教授。芝加哥Loyola大学物理学学士，Yale大学物理学硕士，Yeshiva大学物理学博士，长期从事凝聚态物理研究，并给硕士生和本科生讲授统计力学。EquilibriumStatisticalPhysics和PhysicsandChemistryofDisorderedSystems等是其代表性的著作。
　　BirgerBergersen
　　加拿大BritishColumbia大学物理和天文系荣誉退休教授。给硕士生和本科生讲授热力学和统计物理长达30多年，EquilibriumStatisticalPhysics一书就是其重要的学术著作。

【目录】

PrefacetotheFirstEdition

PrefacetotheSecondEdition

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

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
2.7Problems

3MeanFieldandLandauTheory
3.1MeanFieldTheoryoftheIsingModel
3.2Bragg-WilliamsApproximation
3.3OrderDisorderTransition
3.4BetheApproximation
3.5CriticalBehaviorofMeanFieldTheories
3.6IsingChain:ExactSolution
3.7LandauTheoryofPhaseTransitions
3.8ExampleofSymmetryConsiderations:Maier-SaupeModel
3.9LandauTheoryofTricriticalPoints
3.10Landau-GinzburgTheoryforFluctuations
3.11MulticomponentOrderParameters:n-VectorModel
3.12MeanFieldTheoryofFluids:VanderWaalsApproach
3.13Problems

4DenseGasesandLiquids
4.1VirialExpansion
4.2DistributionFunctions
4.2.1Paircorrelationfunction
4.2.2BBGKYhierarchy
4.2.3Ornstein-Zernikeequation
4.3PerturbationTheory
4.4InhomogeneousLiquids
4.4.1Liquid-vaporinterface
4.4.2Capillarywaves
4.5Density-FunctionalTheory
4.5.1Functionaldifferentiation
4.5.2Free-energyfunctionalsandcorrelationfunctions
4.5.3Applications
4.6Problems

5CriticalPhenomenaI
5.1IsingModelinTwoDimensions
5.1.1Transfermatrix
5.1.2Transformationtoaninteractingfermionproblem
5.1.3Calculationofeigenvalues
5.1.4Thermodynamicfunctions
5.1.5Concludingremarks
5.2SeriesExpansions
5.2.1High-temperatureexpansions
5.2.2Low-temperatureexpansions
5.2.3Analysisofseries
5.3Scaling
5.3.1Thermodynamicconsiderations
5.3.2Scalinghypothesis
5.3.3Kadanoffblockspins
5.4Finite-SizeScaling
5.5Universality
5.6Kosterlitz-ThoulessTransition
5.7Problems

6CriticalPhenomenaII:TheRenormalizationGroup
6.1TheIsingChainRevisited
6.2FixedPoints
6.3PositionSpaceRenormalization:CumulantMethod
6.3.1First-orderapproximation
6.3.2Second-orderapproximation
6.4OtherPositionSpaceRenormalizationGroupMethods
6.4.1Finitelatticemethods
6.4.2Adsorbedmonolayers:Isingantiferromagnet
6.4.3MonteCarlorenormalization
6.5PhenomenologicalRenormalizationGroup
6.6Thee-Expansion
6.6.1TheGaussianmodel
6.6.2TheS4model
6.6.3Criticalexponentstoorderε
6.6.4Conclusion
6.7Problems

7Simulations
7.1MolecularDynamics
7.2MonteCarloMethod
7.2.1Markovprocesses
7.2.2DetailedbalanceandtheMetropolisalgorithm
7.2.3Histogrammethods
7.3DataAnalysis
7.3.1Fluctuations
7.3.2Errorestimates
7.3.3Extrapolationtothethermodynamiclimit
7.4TheHopfieldModelofNeuralNets
7.5SimulatedQuenchingandAnnealing
7.6Problems

8PolymersandMembranes
8.1LinearPolymers
8.1.1Thefreelyjointedchain
8.1.2TheGaussianchain
8.2ExcludedVolumeEffects:FloryTheory
8.3Polymersandthen-VectorModel
8.4DensePolymerSolutions
8.5Membranes
8.5.1Phantommembranes
8.5.2Self-avoidingmembranes
8.5.3Liquidmembranes
8.6Problems

9QuantumFluids
9.1BoseCondensation
9.2Superfluidity
9.2.1Qualitativefeaturesofsuperfluidity
9.2.2BogoliubovtheoryoftheaHeexcitationspectrum
9.3Superconductivity
9.3.1Cooperproblem
9.3.2BCSgroundstate
9.3.3Finite-temperatureBCStheory
9.3.4Landau-Ginzburgtheoryofsuperconductivity
9.4Problems

10LinearResponseTheory
10.1ExactResults378
10.1.1Generalizedsusceptibilityandthestructurefactor
10.1.2Thermodynamicproperties
10.1.3Sumrulesandinequalities
10.2MeanFieldResponse
10.2.1Dielectricfunctionoftheelectrongas
10.2.2WeaklyinteractingBosegas
10.2.3ExcitationsoftheHeisenbergferromagnet
10.2.4Screeningandplasmons
10.2.5Exchangeandcorrelationenergy
10.2.6Phononsinmetals
10.3EntropyProduction,theKuboFormula,andtheOnsagerRelationsforTransportCoefficients
10.3.1Kuboformula
10.3.2Entropyproductionandgeneralizedcurrentsandforces
10.3.3Microscopicreversibility:Onsagerrelations
10.4TheBoltzmannEquation
10.4.1Fields,driftandcollisions
10.4.2DCconductivityofametal
10.4.3Thermalconductivityandthermoelectriceffects
10.5Problems

11DisorderedSystems
11.1Single-ParticleStatesinDisorderedSystems
11.1.1Electronstatesinonedimension
11.1.2Transfermatrix
11.1.3Localizationinthreedimensions
11.1.4Densityofstates
11.2Percolation
11.2.1Scalingtheoryofpercolation
11.2.2Seriesexpansionsandrenormalizationgroup
11.2.3Conclusion
11.3PhaseTransitionsinDisorderedMaterials
11.3.1Statisticalformalismandthereplicatrick
11.3.2Natureofphasetransitions
11.4StronglyDisorderedSystems
11.4.1Molecularglasses
11.4.2Spinglasses
11.4.3Sherrington-Kirkpatrickmodel
11.5Problems

Appendix:OccupationNumberRepresentation

Bibliography