新書推薦:
《
明式家具三十年经眼录
》
售價:NT$
2387.0
《
敦煌写本文献学(增订本)
》
售價:NT$
1010.0
《
耕读史
》
售價:NT$
500.0
《
地理计算与R语言
》
售價:NT$
551.0
《
沈括的知识世界:一种闻见主义的实践(中华学术译丛)
》
售價:NT$
398.0
《
大思维:哥伦比亚商学院六步创新思维模型
》
售價:NT$
332.0
《
宏观经济学(第三版)【2024诺贝尔经济学奖获奖者作品】
》
售價:NT$
709.0
《
UE5虚幻引擎必修课(视频教学版)
》
售價:NT$
505.0
|
內容簡介: |
统计物理学中的蒙特卡洛模拟主要处理凝聚态物理学的多体系统和相关物理学、化学及其他方面的计算模拟,甚至渗透到交通流、股票市场波动等等领域。书中描述了多变量蒙特卡洛模拟方法的理论背景,给出了初学者学习进行模拟和结果分析的系统演示。《统计物理学中的蒙特卡罗模拟(第5版,英文版)》是第五版,不仅包括经典方法,也包括蒙特卡洛模拟方法;增加了一章专门讲述自由能景观采样。
|
目錄:
|
1Introduction:PurposeAndScopeofThisVolume,AndSomeGeneralComments
2TheoreticalFoundationsofTheMonteCarloMethodAndItsApplicationsInStatisticalPhysics
2.1SimpleSamplingVersusImportanceSampling
2.L.1Models
2.1.2SimpleSampling
2.1.3RandomWalksandSelf-AvoidingWalks
2.1.4ThermalAveragesBytheSimpleSamplingMethod
2.1.5AdvantagesandLimitationsofSimpleSampling
2.1.6ImportanceSampling
2.1.7MoreAboutModelsAndAlgorithms
2.2OrganizationofMonteCarloPrograms,andtheDynamicInterpretationofMonteCarloSampling
2.2.1FirstCommentsonTheSimulationofTheIsingModel
2.2.2BoundaryConditions
2.2.3TheDynamicInterpretationofTheImportanceSamplingMonteCarloMethod
2.2.4StatisticalErrorsandTime-DisplacedRelaxationFunctions
2.3Finite-SizeEffects
2.3.1Finite-SizeEffectsAtThePercolationTransition
2.3.2Finite-SizeScalingForThePercolationProblem
2.3.3BrokenSymmetryAndFinite-SizeEffectsAtThermalPhaseTransitions
2.3.4TheOrderParameterProbabilityDistributionAndItsUsetoJustifyFinite-SizeScalingAndPhenomenologicalRenormalization
2.3.5Finite-SizeBehaviorofRelaxationTimes
2.3.6Finite-SizeScalingWithout"Hyperscaling".
2.3.7Finite-SizeScalingForFirst-OrderPhaseTransitions
2.3.8Finite-SizeBehaviorofStatisticalErrorsAndtheProblemOfSelf-Averaging
2.4RemarksonTheScopeofTheTheoryChapter
3GuidetoPracticalWorkWithTheMonteCarloMethod
3.1AimsofTheGuide
3.2SimpleSampling
3.2.1RandomWalk
3.2.2NonreversalRandomWalk
3.2.3Self-AvoidingRandomWalk
3.2.4Percolation
3.3BiasedSampling
3.3.1Self-AvoidingRandomWalk
3.4ImportanceSampling
3.4.1IsingModel
3.4.2Self-AvoidingRandomWalk
4SomeImportantRecentDevelopmentsOfTheMonteCarloMethodology
4.1Introduction
4.2ApplicationoftheSwendsen-WangClusterAlgorithmToTheIsingModel
4.3ReweightingMethodsInTheStudyOfPhaseDiagrams,First-OrderPhaseTransitions,AndInterfacialTensions
4.4SomeCommentsOnAdvancesWithFinite-SizeScalingAnalyses
5QuantumMonteCarloSimulations:AnIntroduction
5.1QuantumStatisticalMechanicsVersusClassicalStatisticalMechanics
5.2ThePathIntegralQuantumMonteCarloMethod
5.3QuantumMonteCarloForLatticeModels
5.4ConcludingRemarks
6MonteCarloMethodsForTheSamplingofFreeEnergyLandscapes.
6.1IntroductionAndOverview
6.2UmbrellaSampling
6.3MulticanonicalSamplingAndOther"ExtendedEnsemble"Methods
6.4Wang-LandauSampling
6.5TransitionPathSampling
6.6ConcludingRemarks
Appendix
A.1AlgorithmForTheRandomWalkProblem
A.2AlgorithmForClusterIdentification
References
Bibliography
SubjectIndex
|
|