场的统计物理学
出版时间:
2010-04
版次:
1
ISBN:
9787510005664
定价:
59.00
装帧:
平装
开本:
16开
纸张:
胶版纸
页数:
359页
正文语种:
英语
-
Introduction、TheLandau-GinzburgHamiltonian、Saddlepointapproximation,andmean-fieldtheory、ContinuoussymmetrybreakingandGoldstonemodes、Discretesymmetrybreakinganddomainwalls、Fluctuations、Scatteringandfluctuations、Correlationfunctionsandsusceptibilities、Lowercriticaldimension、Comparisontoexperiments、Gaussianintegrals等等。 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
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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
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场的统计物理学 粒子的统计物理学 合售
场的统计物理学和粒子的统计物理学合售，不单卖 statistical physics of fields statistical physics of particles
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