| 书目名称 | Statistical Mechanics | | 副标题 | An Introductory Grad | | 编辑 | A. J. Berlinsky,A. B. Harris | | 视频video | | | 概述 | Written by experienced instructors who have class tested materials in the book over a period of years.Offers many examples and exercises to test student understanding.Includes novel and interesting to | | 丛书名称 | Graduate Texts in Physics | | 图书封面 |  | | 描述 | .In 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 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 simplest 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 exact 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 are discussed, along with exact solutions to the 1D quantum and 2D classical Ising models. The renormalization group formalism is developed, starting from real-space RG and proceeding through a detailed treatm | | 出版日期 | Textbook 2019 | | 关键词 | Wilson’s epsilon expansion; renormalization group formalism; Monte Carlo methods; density matrix formal | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-28187-8 | | isbn_softcover | 978-3-030-28189-2 | | isbn_ebook | 978-3-030-28187-8Series ISSN 1868-4513 Series E-ISSN 1868-4521 | | issn_series | 1868-4513 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:48:33
