POTTS MODELS AND RELATED PROBLEMS IN STATISTICAL MECHANICS
POTTS MODELS AND RELATED PROBLEMS IN STATISTICAL MECHANICS
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DOI：
10.1142/0983
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发表时间：
1991-02
期刊：
影响因子：
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通讯作者：
P. Martin
中科院分区：
文献类型：
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作者：
P. Martin
内容包括：介绍转移矩阵：代数：一般原理Temperley-Lieb代数：一般情况特殊情况图Temperley-Lieb代数Hecke代数ZQ对称的代数形式相变的建模顶点模型和相关代数，辫子和电缆读者群：数学物理学家。保留字：Yang-Baxter代数统计力学的代数方法; Potts模型;转移矩阵;可解模型; Temperly-Lieb代数; Hecke代数;广义Clifford代数;表示;配分函数;相变;顶点模型;辫子群评论：“这是对Potts模型和统计力学相关问题的一个很好的调查。第一章构成了一个很好的介绍统计力学与讨论建模原则，配分函数和哈密顿，晶格，统计力学功能，如自由能。有很好的相变，序参数和临界指数的一般性讨论。然后定义了Potts模型，并将其与二色多项式和伊辛模型的特殊情况相联系。本章结束时讨论块自旋重整化.这本书是一个很好的来源基本结果的波茨模型及其数学物理环境。数学评论
Contents: IntroductionTransfer Matrices: On Commuting Transfer MatricesOn Exactly Solved CasesAlgebra: General PrinciplesTemperley-Lieb Algebra: Generic CasesSpecial CasesGraph Temperley-Lieb AlgebrasHecke AlgebrasAlgebraic Formalism for ZQ SymmetryThe Modelling of Phase TransitionsVertex Models and Related Algebras, Braids and Cables Readership: Mathematical physicists. Keywords: Yang-Baxter Algebras; Algebraic Methods of Statistical Mechanics; Potts Model; Transfer Matrices; Solvable Models; Temperly-Lieb Algebras; Hecke Algebras; Generalized Clifford Algebras; Representations; Partition Functions; Phase Transitions; Vertex Models; Braid GroupReview:“This is an excellent survey of the Potts model and related matters in statistical mechanics. The first chapter constitutes a good introduction to statistical mechanics with a discussion of modelling principles, partition functions and Hamiltonians, lattices, statistical mechanics functions such as free energy. There are good general discussions of phase transitions, order parameters and critical exponents. Then the Potts models are defined and related to dichromatic polynomials and to the special case of the Ising model. The chapter ends with a discussion of block spin renormalization… This book is a fine source of basic results about the Potts model and its mathematical physics environment.” Mathematical Reviews