Introduction to Statistical Physics (Hardcover)

Silvio Salinas

  • 出版商: Springer
  • 出版日期: 2001-02-08
  • 售價: $1,300
  • 貴賓價: 9.8$1,274
  • 語言: 英文
  • 頁數: 378
  • 裝訂: Hardcover
  • ISBN: 0387951199
  • ISBN-13: 9780387951195
  • 相關分類: 物理學 Physics
  • 下單後立即進貨 (約5~7天)
    無現貨庫存(No stock available)

相關主題

商品描述

<內容簡介>

tended for beginning graduate students or advanced undergraduates, this text covers the statistical basis of equilibrium thermodynamics, both classical and quantum, including examples from solid-state physics. It also treats some topics of more recent interest such as phase transitions and non-equilibrium phenomena. The approach to equilibrium statistical mechanics is based on the Gibbs microcanonical ensemble. The presentation introduces modern ideas, such as the thermodynamic limit and the equivalence of ensembles, and uses simple models (ideal gas, Einstein solid, ideal paramagnet) to make the mathematical ideas clear. Frequently used mathematical methods are reviewed in an appendix. The book begins with a review of statistical methods and classical thermodynamics, making it suitable for students from a variety of backgrounds. Classical thermodynamics is treated in the in the context of the classical ideal gas and the canonical and grand canonical ensembles. The discussion of quantum statistical mechanics includes Bose and Fermi gases. the Bose-Einstein condensation, phonons and magnons. Phase transitions are first treated classically (using the van der Waals and Curie-Weiss phenomenological models as examples), and then quantum mechanically (the Ising model, scaling theory and renormalization). The book concludes with two chapters on nonequilibrium phenomena: one using Boltzmann's approach, the other based on stochastic models. Exercises at the end of each chapter are an integral part of the course, clarifying and extending topics discussed in the text. Hints and solutions can be found on the author's web site.

Table Of Contents

(1) Introduction to statistical methods

(2) Statistical description of a physical system

(3) Overview of classical thermodynamics

(4) Microcanonical ensemble

(5) Canonical ensemble

(6) The classical gas in the canonical formalism

(7) The grand canonical and pressure ensembles

(8) The ideal quantum gas

(9) The ideal Fermi gas

(10) Free bosons: Bose-Einstein condesations; Gas of photons

(11) Phonons and magnons

(12) Phase transitions and critical phenomena: Classical theories

(13) The Ising model

(14) Scaling theories and the renormalization group

(15) Non-equilibrium phenomena. I. Kinetic methods

(16) Non-equilibrium phenomena. II. Stochastic methods

商品描述(中文翻譯)

這本書是為初級研究生或高年級本科生而設計的,涵蓋了平衡熱力學的統計基礎,包括經典和量子,並包含了固體物理學的例子。它還涉及到一些較新的研究興趣,如相變和非平衡現象。平衡統計力學的方法基於吉布斯微正則系統。本書介紹了現代思想,如熱力學極限和系統等價性,並使用簡單的模型(理想氣體,愛因斯坦固體,理想順磁體)來清晰地解釋數學概念。常用的數學方法在附錄中進行了回顧。本書以統計方法和經典熱力學的回顧開始,適合來自不同背景的學生。經典熱力學在經典理想氣體和正規系統中進行了討論。量子統計力學的討論包括玻色和費米氣體,玻色-愛因斯坦凝聚,聲子和磁子。相變首先以經典方式進行處理(以范德華和居里-魏斯現象模型為例),然後以量子方式進行處理(伊辛模型,尺度理論和重整化)。本書最後兩章討論了非平衡現象:一章使用玻爾茨曼方法,另一章基於隨機模型。每章末尾的練習是課程的一部分,用於澄清和擴展文本中討論的主題。提示和解答可以在作者的網站上找到。

目錄:
(1) 統計方法介紹
(2) 物理系統的統計描述
(3) 經典熱力學概述
(4) 微正則系統
(5) 正規系統
(6) 經典氣體的正規形式
(7) 巨正則和壓力系統
(8) 理想量子氣體
(9) 理想費米氣體
(10) 自由玻色子:玻色-愛因斯坦凝聚;光子氣體
(11) 聲子和磁子
(12) 相變和臨界現象:經典理論
(13) 伊辛模型
(14) 尺度理論和重整化群
(15) 非平衡現象。I. 動力學方法
(16) 非平衡現象。II. 隨機方法