Statistical Mechanics: Algorithms and Computations (Paperback)

Description   

This book discusses the computational approach in modern statistical physics in a clear and accessible way and demonstrates its close relation to other approaches in theoretical physics. Individual chapters focus on subjects as diverse as the hard sphere liquid, classical spin models, single quantum particles and Bose-Einstein condensation. Contained within the chapters are in-depth discussions of algorithms, ranging from basic enumeration methods to modern Monte Carlo techniques. The emphasis is on orientation, with discussion of implementation details kept to a minimum. Illustrations, tables and concise printed algorithms convey key information, making the material very accessible. The book is completely self-contained and graphs and tables can readily be reproduced, requiring minimal computer code. Most sections begin at an elementary level and lead on to the rich and difficult problems of contemporary computational and statistical physics. The book will be of interest to a wide range of students, teachers and researchers in physics and the neighbouring sciences. An accompanying CD allows incorporation of the book's content (illustrations, tables, schematic programs) into the reader's own presentations.

 

Table of Contents

1. Monte Carlo Methods

2. Hard Disks and Spheres

3. Density Matrices and Path Integrals

4. The Bose Gas

5. Order and Disorder in Spin Systems

6. Entropic Forces

7. Dynamic Monte-Carlo Methods

描述

本書以清晰易懂的方式討論了現代統計物理中的計算方法，並展示了它與理論物理中其他方法的密切關係。各章節專注於各種不同的主題，如硬球液體、經典自旋模型、單個量子粒子和玻色-愛因斯坦凝聚。章節中包含了從基本的列舉方法到現代蒙特卡羅技術的深入討論。重點是導向性，對於實現細節的討論保持最少。插圖、表格和簡潔的印刷算法傳達了關鍵信息，使材料非常易於理解。本書完全自包含，圖表和表格可以輕鬆重製，只需最少的計算機代碼。大多數章節從基礎水平開始，然後進入當代計算和統計物理的豐富而困難的問題。本書將對物理學及相關科學的廣泛範疇的學生、教師和研究人員感興趣。附帶的光碟允許將本書的內容（插圖、表格、示意程序）融入讀者自己的演示文稿中。

目錄

1. 蒙特卡羅方法
2. 硬盤和球體
3. 密度矩陣和路徑積分
4. 玻色氣體
5. 自旋系統中的有序與無序
6. 熵力
7. s