Statistical Mechanics: Theory and Molecular Simulation (Hardcover)
暫譯: 統計力學:理論與分子模擬(精裝版)

Mark E. Tuckerman

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商品描述

<內容簡介>

*Solutions manual available on request from the publisher's website
*Useful both to students as a textbook and to practitioners as a reference tool.
*Treats both basic principles in classical and quantum statistical mechanics as well as modern computational methods
*Includes topics not usually treated in textbooks - such as the path-integral formulation of quantum statistical mechanics.
*Chapters written in a graduated fashion - topics are discussed simply at first then gradually increase in complexity and mathematical rigor.
*Provides both model and real-world examples.
*Each chapter has a problem set at the end.

Complex systems that bridge the traditional disciplines of physics, chemistry, biology, and materials science can be studied at an unprecedented level of detail using increasingly sophisticated theoretical methodology and high-speed computers. The aim of this book is to prepare burgeoning users and developers to become active participants in this exciting and rapidly advancing research area by uniting for the first time, in one monograph, the basic concepts of equilibrium and time-dependent statistical mechanics with the modern techniques used to solve the complex problems that arise in real-world applications.

The book contains a detailed review of classical and quantum mechanics, in-depth discussions of the most commonly used ensembles simultaneously with modern computational techniques such as molecular dynamics and Monte Carlo, and important topics including free-energy calculations, linear-response theory, harmonic baths and the generalized Langevin equation, critical phenomena, and advanced conformational sampling methods. Burgeoning users and developers are thus provided firm grounding to become active participants in this exciting and rapidly advancing research area, while experienced practitioners will find the book to be a useful reference tool for the field.


 <章節目錄>

1: Introduction

2: Classical Mechanics

3: Theoretical Foundations of Classical Statistical Mechanics

4: The Microcanonical Ensemble and Introduction to Molecular Dynamics

5: The Canonical Ensemble

6: The Isobaric Ensembles

7: The Grand Canonical Ensemble

8: Monte Carlo Methods in Statistical Mechanics

9: Free Energy Calculations

10: Quantum Mechanics

11: Quantum Ensembles and the Density Matrix

12: Quantum Ideal Gases: Fermi-Dirac and Bose-Einstein Statistics

13: The Feynman Path Integral

14: Classical Time-Dependent Statistical Mechanics and Systems Away from Equilibrium

15: Quantum Time-Dependent Statistical Mechanics

16: The Generalized Langevin Equation

17: Advanced Sampling Approaches

18: Critical Phenomena

19: Conclusions and Perspectives

商品描述(中文翻譯)

內容簡介

* 本書的解決方案手冊可向出版社網站索取
* 對學生作為教科書和對從業者作為參考工具均有幫助。
* 涉及經典和量子統計力學的基本原理以及現代計算方法
* 包含通常不在教科書中處理的主題 - 例如量子統計力學的路徑積分形式。
* 各章節以漸進的方式撰寫 - 主題最初以簡單的方式討論,然後逐漸增加複雜性和數學嚴謹性。
* 提供模型和現實世界的例子。
* 每章末尾都有一組習題。

複雜系統可以在前所未有的細節層次上進行研究,這些系統跨越傳統的物理、化學、生物和材料科學學科,利用日益精密的理論方法和高速計算機。本書的目的是為新興的使用者和開發者做好準備,使他們能夠成為這一令人興奮且快速發展的研究領域的積極參與者,首次在一本專著中將平衡和時間依賴的統計力學的基本概念與用於解決現實應用中出現的複雜問題的現代技術結合起來。

本書包含對經典和量子力學的詳細回顧,對最常用的系綱進行深入討論,同時介紹現代計算技術,如分子動力學和蒙特卡羅方法,以及重要主題,包括自由能計算、線性響應理論、諧波浴和廣義朗之萬方程、臨界現象和先進的構象取樣方法。因此,新興的使用者和開發者獲得了堅實的基礎,以成為這一令人興奮且快速發展的研究領域的積極參與者,而經驗豐富的從業者則會發現本書是該領域的有用參考工具。

章節目錄

1: 介紹

2: 經典力學

3: 經典統計力學的理論基礎

4: 微正則系綱與分子動力學簡介

5: 正則系綱

6: 等壓系綱

7: 大正則系綱

8: 統計力學中的蒙特卡羅方法

9: 自由能計算

10: 量子力學

11: 量子系綱與密度矩陣

12: 量子理想氣體:費米-狄拉克和玻色-愛因斯坦統計

13: 費曼路徑積分

14: 經典時間依賴的統計力學與非平衡系統

15: 量子時間依賴的統計力學

16: 廣義朗之萬方程

17: 先進取樣方法

18: 臨界現象

19: 結論與展望