Cambridge University Press Cambridge Scaling and Renormalization in Statistical Physics

Master the theory of critical behaviour with this graduate-level text from Cambridge University Press. Part of the Cambridge Lecture Notes in Physics series, this book offers a modern approach to statistical physics, making it an essential resource for advanced students and researchers in the field. The text begins with a foundational review of phase transitions in simple systems and mean field theory before moving into the core concepts of the renormalization group. It provides a structured path through complex topics, including phase diagrams, fixed points, and cross-over behaviour. Readers will gain a deep understanding of finite-size scaling, perturbative renormalization methods, and low-dimensional systems. This comprehensive volume also explores specialized areas such as surface critical behaviour, random systems, percolation, and polymer statistics. It concludes with detailed sections on critical dynamics, conformal symmetry, and an appendix on Gauss. Whether you are studying critical dynamics or mathematical physics, this book serves as a thorough guide to the mathematical frameworks used in modern statistical mechanics.