This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. Beginning with a brief review of phase transitions in simple systems and of mean field theory, the text then goes on to introduce the core ideas of the renormalization group. Following chapters cover phase diagrams, fixed points, cross-over behaviour, finite-size scaling, perturbative renormalization methods, low-dimensional systems, surface critical behaviour, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry. The book closes with an appendix on Gaussian integration, a selected bibliography, and a detailed index. Many problems are included. The emphasis throughout is on providing an elementary and intuitive approach. In particular, the perturbative method introduced leads, among other applications, to a simple derivation of the epsilon expansion in which all the actual calculations (at least to lowest order) reduce to simple counting, avoiding the need for Feynman diagrams.
發表於2024-12-29
Scaling and Renormalization in Statistical Physics (Cambridge Lecture Notes in Physics) 2024 pdf epub mobi 電子書 下載
圖書標籤: 物理 統計物理 凝聚態理論 renormalization-group statistical-physics physics 物理-統計物理 凝聚態物理
讀瞭第1-4, 7章。極好。又讀瞭5, 6, 11章。
評分way too hand-wavy
評分讀瞭第1-4, 7章。極好。又讀瞭5, 6, 11章。
評分讀瞭第1-4, 7章。極好。又讀瞭5, 6, 11章。
評分way too hand-wavy
Scaling and Renormalization in Statistical Physics (Cambridge Lecture Notes in Physics) 2024 pdf epub mobi 電子書 下載