Modern Theory of Critical Phenomena PDF ePub eBook

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Modern Theory of Critical Phenomena free pdf

Table of Contents

Introduction SummaryCritical Points and Order ParametersQualitative PictureThermodynamic Properties and ExponentsFluctuations of the Order Parameter, Scattering Experiments, The Exponent (Observations on Other Kinds of Critical Points Models and Basic ConceptsSequence of ModelsClassical Models of the Cell HamiltonianStatistical MechanicsBlock Hamiltonians and Kadanoff TransformationsGinzburg-Landau Form The Gaussian ApproximationMost Probable Value and Gaussian ApproximationMinimum of the Ginzburg-Landau Hamiltonian, Landau TheoryGaussian Approximation for T < TcGaussian Approximation for T > TcThe Correlation Length and Temperature DependenceSummary of Results and the Ginzburg CriterionFluctuation and Dimension Discussion The Scaling HypothesisThe Correlation Length and Scaling HypothesisScale Transformation and Dimensional AnalysisDiscussion The Renormalization GroupMotivationDefinition of the Renormalization Group (RG)Alternatives in Defining the RG Fixed Points and ExponentsThe Fixed Point and Its NeighborhoodLarge s Behavior of Rs and Critical ExponentsThe Free EnergyCritical RegionSummary and Remarks The Gaussian Fixed Point and Fixed Points in 4-( DimensionsThe Gaussian Fixed PointThe Linearized RG Near the Gaussian Fixed PointRelevant, Irrelevant, and Marginal Parameters, Scaling Fields, and CrossoverCritical Exponents for d > 4 - ( And Fixed Points to O(()Effect of Other O(() Terms in RsThe Gaussian Fixed Point Renormalization Groups in Selected ModelsThe RG in the Large-n LimitWilsons Recursion FormulaApplication to the n((The RG in the Large-n LimitDefinitions of the RG for Discrete SpinsNumerical Work on the RG for Two-Dimensional Ising SystemsDiscussion Perturbation ExpansionsUse of Perturbation Theory

About Shang-Keng Ma

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Details Book

Author : Shang-Keng Ma
Publisher : Perseus Books
Data Published : 22 July 1976
ISBN : 0805366717
EAN : 9780805366716
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 592 pages
Age + : 18 years
Language : English
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  • Modern Theory of Critical Phenomena free pdfModern Theory of Critical Phenomena

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    Table of Contents

    Introduction SummaryCritical Points and Order ParametersQualitative PictureThermodynamic Properties and ExponentsFluctuations of the Order