Closed-form and exact solutions
著者
書誌事項
Closed-form and exact solutions
（Texts and monographs in physics, . Statistical mechanics of lattice systems / David A. Lavis,
Springer, c1999
2nd rev. and enl. ed
- タイトル別名
-
Statistical mechanics of lattice models
Closed form and exact theories of cooperative phenomena
大学図書館所蔵 全37件
注記
Includes bibliographical references and index
"The 1st edition was published under the title: Statistical mechanics of lattice models. Vol. 1: Closed form and exact theories of cooperative phenomena"--T.p. verso
内容説明・目次
内容説明
This two-volume work provides a comprehensive study of the statistical mechanics of lattice models. It introduces readers to the main topics and the theory of phase transitions, building on a firm mathematical and physical basis. Volume 1 contains an account of mean-field and cluster variation methods successfully used in many applications in solid-state physics and theoretical chemistry, as well as an account of exact results for the Ising and six-vertex models and those derivable by transformation methods.
目次
1. Introduction to Thermodynamics and Phase Transitions.- 2. Statistical Mechanics and the One-Dimensional Ising Model.- 3. The Mean-Field Approximation, Scaling and Critical Exponents.- 4. Antiferromagnets and Other Magnetic Systems.- 5. Lattice Gases.- 6. Solid Mixtures and the Dilute Ising Model.- 7. Cluster Variation Methods.- 8. Exact Results for Two-Dimensional Ising Models.- 9. Applications of Transform Methods.- 10. The Six-Vertex Model.- A. Appendices.- A.1 Regular Lattices.- A.2 Elliptic Integrals and Functions.- A.2.1 Elliptic Integrals.- A.2.2 Elliptic Functions.- A.2.3 Results Required for Chapter 8.- A.3 The Water Molecule and Hydrogen Bonding.- A.4 Results for the Six-Vertex Model.- A.4.1 The Proof of I.- A.4.2 The Proof of II.- A.4.3 The Proof of III.- A.4.4 The Proof of IV.- A.5 Fourier Transforms and Series.- A.5.1 Fourier Transforms.- A.5.2 Fourier Series.- References and Author Index.
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