场的统计物理学

图书标准信息

• 作者 [美]卡达 著
• 出版社 世界图书出版公司
• 出版时间 2010-04
• 版次 1
• ISBN 9787510005664
• 定价 59.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 359页
• 正文语种 英语

【内容简介】

Introduction、TheLandau-GinzburgHamiltonian、Saddlepointapproximation,andmean-fieldtheory、ContinuoussymmetrybreakingandGoldstonemodes、Discretesymmetrybreakinganddomainwalls、Fluctuations、Scatteringandfluctuations、Correlationfunctionsandsusceptibilities、Lowercriticaldimension、Comparisontoexperiments、Gaussianintegrals等等。

【目录】

Preface
1Collectivebehavior，fromparticlestofields
1.1Introduction
1.2Phononsandelasticity
1.3Phasetransitions
1.4Criticalbehavior
Problems

2Statisticalfields
2.1Introduction
2.2TheLandau-GinzburgHamiltonian
2.3Saddlepointapproximation，andmean-fieldtheory
2.4ContinuoussymmetrybreakingandGoldstonemodes
2.5Discretesymmetrybreakinganddomainwalls
Problems

3Fluctuations
3.1Scatteringandfluctuations
3.2Correlationfunctionsandsusceptibilities
3.3Lowercriticaldimension
3.4Comparisontoexperiments
3.5Gaussianintegrals
3.6Fluctuationcorrectionstothesaddlepoint
3.7TheGinzburgcriterion
Problems

4Thescalinghypothesis
4.1Thehomogeneityassumption
4.2Divergenceofthecorrelationlength
4.3Criticalcorrelationfunctionsandself-similarity
4.4Therenormalizationgroup（conceptual）
4.5Therenormalizationgroup（formal）
4.6TheGaussianmodel（directsolution）
4.7TheGaussianmodel（renormalizationgroup）
Problems

5Perturbativerenormalizafiongroup
5.1ExpectationvaluesintheGaussianmodel
5.2Expectationvaluesinperturbationtheory
5.3Diagrammaticrepresentationofperturbationtheory
5.4Susceptibility
5.5PerturbativeRG（firstorder）
5.6PerturbativeRG（secondorder）
5.7Thee-expansion
5.8Irrelevanceofotherinteractions
5.9Commentsonthee-expansion
Problems

6Latticesystems
6.1Modelsandmethods
6.2Transfermatrices
6.3PositionspaceRGinonedimension
6.4TheNiemeijer-vanLeeuwencumulantapproximation
6.5TheMigdal-Kadanoffbondmovingapproximation
6.6MonteCarlosimulations
Problems

7Seriesexpansions
7.1Low-temperatureexpansions
7.2High-temperatureexpansions
7.3Exactsolutionoftheone-dimensionalIsingmodel
7.4Self-dualityinthetwo-dimensionalIsingmodel
7.5Dualofthethree-dimensionalIsingmodel
7.6Summingoverphantomloops
7.7ExactfreeenergyofthesquarelatticeIsingmodel
7.8Criticalbehaviorofthetwo-dimensionalIsingmodel
Problems

8Beyondspinwaves
8.1Thenonlineartrmodel
8.2TopologicaldefectsintheXYmodel
8.3RenormalizationgroupfortheCoulombgas
8.4Two-dimensionalsolids
8.5Two-dimensionalmelting
Problems

9Dissipativedynamics
9.1Brownianmotionofaparticle
9.2Equilibriumdynamicsofafield
9.3Dynamicsofaconservedfield
9.4Genericscaleinvarianceinequilibriumsystems
9.5Non-equilibriumdynamicsofopensystems
9.6Dynamicsofagrowingsurface

10Directedpathsinrandommedia
10.1Introduction
10.2High-Texpansionsfortherandom-bondIsingmodel
10.3Theone-dimensionalchain
10.4Directedpathsandthetransfermatrix
10.5Momentsofthecorrelationfunction
10.6Theprobabilitydistributionintwodimensions
10.7Higherdimensions
10.8Randomsigns
10.9OtherrealizationsofDPRM
10.10Quantuminterferenceofstronglylocalizedelectrons
10.11Thelocatorexpansionandforwardscatteringpaths
10.12Magneticfieldresponse
10.13Unitarypropagation
10.14Unitaryaverages

Solutionstoselectedproblems
Chapter1
Chapter2
Chapter3
Chapter4
Chapter5
Chapter6
Chapter7
Chapter8
Index