Statistical mechanics : an introductory graduate course / A.J. Berlinsky and A.B. Harris
Material type: TextSeries: Graduate texts in physicsPublication details: Canada Springer 2019Description: 602pISBN:- 9783030281892
- 530.13 BER-A
Item type | Current library | Collection | Shelving location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|---|
Books | BITS Pilani Hyderabad | 530 | General Stack (For lending) | 530.13 BER-A (Browse shelf(Opens below)) | Available | 44950 |
N a comprehensive treatment of Statistical Mechanics from thermodynamics through the renormalization group, this book serves as the core text for a full-year graduate course in statistical mechanics at either the Masters's or Ph. D. level. Each chapter contains numerous exercises, and several chapters treat special topics which can be used as the basis for student projects. The concept of scaling is introduced early and used extensively throughout the text. At the heart of the book is an extensive treatment of mean-field theory, from the most straightforward decoupling approach, through the density matrix formalism, to self-consistent classical and quantum field theory, as well as exact solutions on the Cayley tree. Proceeding beyond mean-field theory, the book discusses accurate mappings involving Potts models, percolation, self-avoiding walks and quenched randomness, connecting various athermal and thermal models. Computational methods such as series expansions and Monte Carlo simulations and exact solutions to the 1D quantum and 2D classical Ising models are discussed. The renormalization group formalism is developed, starting from real-space RG and proceeding through a detailed treatment of Wilson's epsilon expansion. Finally, the subject of Kosterlitz-Thouless systems is introduced from a historical perspective and then treated by methods due to Anderson, Kosterlitz, Thouless and Young. Altogether, this comprehensive, up-to-date, and engaging text offers an ideal package for advanced undergraduate or graduate courses or use in self-study
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