书目名称 | Pair-Correlation Effects in Many-Body Systems | 副标题 | Towards a Complete T | 编辑 | Kristian Blom | 视频video | | 概述 | Provides a comprehensive overview of the Bethe-Guggenheim approximation applied to uniform and non-uniform systems.Addresses and advances the derivation of a Cahn-Hilliard free energy from microscopic | 丛书名称 | Springer Theses | 图书封面 |  | 描述 | .The laws of nature encompass the small, the large, the few, and the many. In this book, we are concerned with classical (i.e., not quantum) many-body systems, which refers to any microscopic or macroscopic system that contains a large number of interacting entities. The nearest-neighbor Ising model, originally developed in 1920 by Wilhelm Lenz, forms a cornerstone in our theoretical understanding of collective effects in classical many-body systems and is to date a paradigm in statistical physics..Despite its elegant and simplistic description, exact analytical results in dimensions equal and larger than two are difficult to obtain. Therefore, much work has been done to construct methods that allow for approximate, yet accurate, analytical solutions. One of these methods is the Bethe-Guggenheim approximation, originally developed independently by Hans Bethe and Edward Guggenheim in 1935. This approximation goes beyond the well-known mean field approximation and explicitly accounts for pair correlations between the spins in the Ising model...In this book, we embark on a journey to exploit the full capacity of the Bethe-Guggenheim approximation, in non-uniform and non-equilibrium se | 出版日期 | Book 2023 | 关键词 | Lattice Models; Cahn-Hilliard Free Energy; Cell Adhesion; Dynamical Phase Transitions; Ising Model; Inter | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-29612-3 | isbn_softcover | 978-3-031-29614-7 | isbn_ebook | 978-3-031-29612-3Series ISSN 2190-5053 Series E-ISSN 2190-5061 | issn_series | 2190-5053 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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