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統(tǒng)計(jì)物理學(xué)(第1卷)

統(tǒng)計(jì)物理學(xué)(第1卷)

定 價(jià):¥40.00

作 者: 美M.Toda等著
出版社: 世界圖書出版公司北京公司
叢編項(xiàng):
標(biāo) 簽: 暫缺

ISBN: 9787506233958 出版時(shí)間: 1997-01-01 包裝: 膠版紙
開本: 20cm 頁數(shù): 252頁 字?jǐn)?shù):  

內(nèi)容簡介

  The subject itself has progressed considerably in recent years, especially in relation to the theory of phase changes and various aspects of the ergodic problems. In order to include recent developments of the theory of phase changes, more than half of Chap. 4 has been rewritten. It is hoped that the inclusionof additional material will elucidate the current point of view and the new methods employed in this fascinating branch of statistical physics. Chapter 5, which is devoted to the ergodic problems, has been fully revised to present contemporary knowledge of the ergodic behavior of mechanical systems, which has been actively investigated in the last few years by means of mathematical analysis, supported by numerical computation. The authors have also taken advantage of the opportunity to correct typographical errors, and to revise some figures.

作者簡介

暫缺《統(tǒng)計(jì)物理學(xué)(第1卷)》作者簡介

圖書目錄

1.GeneralPreliminaries
1.1Overview
1.1.1SubjectsofStatisticalMechanics
1.1.2ApproachtoEquilibrium
1.2Averages
1.2.1ProbabilityDistribution
1.2.2AveragesandThermodynamicFluctuation
1.2.3AveragesofaMechanicalSystem-VidalTheorem
1.3TheLiouvilleTheorem
1.3.1DensityMatrix
1.3.2ClassicalLiouville'sTheorem
1.3.3Wigner'sDistributionFunction
1.3.4TheCorrespondenceBetweenClassicalandQuantumMechanics
2.OutlinesofStatisticalMechanics
2.1ThePrinciplesofStatisticalMechanics
2.1.1ThePrincipleofEqualProbability
2.1.2MicrocanonicalEnsemble
2.1.3Boltzmann'sPrinciple
2.1.4TheNumberofMicroscopicStates,ThermodynamicLimit
a)AFreeParticle
b)AnIdealGas.
c)SpinSystem
d)TheThermodynamicLimit
2.2Temperature
2.2.1TemperatureEquilibrium
2.2.2Temperature
2.3ExternalForces
2.3.1PressureEquilibrium
2.3.2AdiabaticTheorem
a)AdiabaticChange
b)AdiabaticTheoreminStatisticalMechanics
c)AdiabaticTheoreminClassicalMechanics
2.3.3ThermodynamicRelations
2.4SubsystemswithaGivenTemperature
2.4.1CanonicalEnsemble
2.4.2Boltzmann-Planck'sMethod
2.4.3SumOverStates
2.4.4DensityMatrixandtheB!ochEquation
2.5SubsystemswithaGivenPressure
2.6SubsystemswithaGivenChemicalPotential
2.6.1ChemicalPotential
2.6.2GrandPartitionFunction
2.7FluctuationandCorrelation
2.8TheThirdLawofThermodynamics,Nernst'sTheorem
2.8.1MethodofLoweringtheTemperature
3.Applications
3.1QuantumStatistics
3.1.1Many-ParticleSystem
3.1.2OscillatorSystems(PhotonsandPhonons)
3.1.3BoseDistributionandFermiDistribution
a)DifferenceintheDegeneracyofSystems
b)ASpecialCase
3.1.4DetailedBalancingandtheEquilibriumDistribution
3.1.5EntropyandFluctuations
3.2IdealGases.
3.2.1LevelDensityofaFreeParticle
3.2.2IdealGas
a)AdiabaticChange
b)HighTemperatureExpansion
c)DensityFluctuation
3.2.3BoseGas
3.2.4FermiGas
3.2.5RelativisticGas
a)PhotonGas
b)FermiGas
c)ClassicalGas
3.3ClassicalSystems
3.3.1QuantumEffects'andClassicalStatistics
a)ClassicalStatistics
b)LawofEquipartitionofEnergy
3.3.2Pressure
3.3.3SurfaceTension
3.3.4ImperfectGas
3.3.5ElectronGas
3.3.6Electrolytes
4.PhaseTransitions
4.1Models
4.1.1ModelsforFerromagnetism
4.1.2LatticeGases
4.1.3CorrespondenceBetweentheLatticeGasandtheIsingMagnet
4.1.4SymmetricPropertiesinLatticeGases
4.2AnalyticityofthePartitionFunctionandThermodynamicLimit
4.2.1ThermodynamicLimit
4.2.2ClusterExpansion
4.2.3ZerosoftheGrandPartitionFunction
4.3One-DimensionalSystems
4.3.1ASystemwithNearest-NeighborInteraction
4.3.2LatticeGases
4.3.3Long-RangeInteractions
4.3.4OtherModels
4.4IsingSystems
4.4.1Nearest-NeighborInteraction
a)One-DimensionalSystems
b)Many-DimensionalSystems
c)Two-DimensionalSystems
d)CuriePoint
4.4.2MatrixMethod
a)One-DimensionalIsingSystem
b)Two-DimensionalIsingSystems
4.4.3ZerosontheTemperaturePlane
4.4.4SphericalModel
4.4.5Eight-VertexModel
4.5ApproximateTheories
4.5.1MolecularFieldApproximation,WeissApproximation
4.5.2BetheApproximation
4.5.3LowandHighTemperatureExpansions
4.6CriticalPhenomena.
4.6.1CriticalExponents
4.6.2PhenomenologicalTheory
4.6.3Scaling
4.7RenormalizationGroupMethod
4.7.1RenormalizationGroup
4.7.2FixedPoint
4.7.3CoherentAnomalyMethod
5.ErgodicProblems
5.1SomeResultsfromClassicalMechanics
5.1.1TheLiouvilleTheorem
5.1.2TheCanonicalTransformation
5.1.3ActionandAngleVariables
5.1.4IntegrableSystems
5.1.5Geodesics
5.2ErgodicTheorems(I)
5.2.1Birkhoff'sTheorem
5.2.2MeanErgodicTheorem
5.2.3Hopf'sTheorem
5.2.4MetricalTransitivity
5.2.5Mixing
5.2.6Khinchin'sTheorem
5.3AbstractDynamicalSystems
5.3.1BernoulliSchemesandBaker'sTransformation
5.3.2ErgodicityontheTorus
5.3.3K-Systems(KolmogorovTransformation)
5.3.4C-Systems
5.4ThePoincareandFermiTheorems
5.4.1Bruns'Theorem
5.4.2Poincare-Fermi'sTheorem
5.5Fermi-Pasta-Ulam'sProblem
5.5.1NonlinearLatticeVibration.
5.5.2ResonanceConditions
5.5.3InductionPhenomenon
5.6ThirdIntegrals
5.7TheKolmogorov,Arnol'dandMoserTheorem
5.8ErgodicTheorems(II)
5.8.1WeakConvergence
5.8.2Ergodicity
5.8.3EntropyandIrreversibility
5.9QuantumMechanicalSystems
5.9.1TheoremsinQuantumMechanicalSystems
5.9.2ChaoticBehaviorinQuantumSystems
5.9.3CorrespondenceBetweenClassicalandQuantumChaos
5.9.4QuantumMechanicalDistributionFunction
GeneralBibliography
References
SubjectIndex

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