Statistical Mechanics for Beginners: A Textbook for Undergraduates (Second Edition)
暫譯: 初學者的統計力學:大學本科教材(第二版)

Benguigui, Lucien Gilles

  • 出版商: World Scientific Pub
  • 出版日期: 2025-08-04
  • 售價: $3,570
  • 貴賓價: 9.5$3,392
  • 語言: 英文
  • 頁數: 230
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 9819814340
  • ISBN-13: 9789819814343
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商品描述

This second edition of the popular textbook is intended for all undergraduate students in physics, with some background in thermodynamics. The basic intention of the author is maintained: to present a book for those studying statistical mechanics for the first time. The unique presentation starts off with the principles, elucidating the well-developed theory, and only thereafter the application of theory. Calculations on the main steps are detailed, leaving behind minimal gaps. The author emphasizes with theory the link between the macroscopic world (thermodynamics) and the microscopic world.The book begins with a study of three situations -- the closed system and the systems in thermal contact with a reservoir -- in order to formulate the important fundamentals: entropy from Boltzmann formula, partition function and grand partition function. Through the presentation of quantum statistics, Bose statistics and Fermi-Dirac statistics are established, including as a special case the classical situation of Maxwell-Boltzmann statistics. A series of examples follow: the harmonic oscillator, the polymer chain, the two-level system, bosons (photons, phonons, and the Bose-Einstein condensation) and fermions (electrons in metals and in semiconductors). The treatment of bosons and fermions is expanded with a detailed comparison of their thermal behaviors. A study on neutron stars, a pure fermion system, is now included. The concepts of distribution and fluctuations are also briefly discussed, and an important neglected problem is explained: the equivalence between the sum of a series and the value of the associated integral, teaching further insights on Bose-Einstein condensation. A compact historical note on influential scientists forms the concluding chapter.This book will serve as a vital resource for undergraduates taking their first foray into statistical mechanics, setting a strong foundation for more advanced topics in their studies.

商品描述(中文翻譯)

這本受歡迎的教科書第二版旨在為所有具有熱力學背景的物理學本科生提供學習資源。作者的基本意圖得以保持:為首次學習統計力學的學生呈現一本書。這本書的獨特呈現方式從原則開始,闡明了成熟的理論,然後才是理論的應用。主要步驟的計算詳細說明,留下的空白最小。作者強調理論與宏觀世界(熱力學)和微觀世界之間的聯繫。

本書首先研究三種情況——封閉系統和與儲存庫有熱接觸的系統——以便制定重要的基本原則:根據玻爾茲曼公式的熵、配分函數和大配分函數。通過量子統計的呈現,建立了玻色統計和費米-狄拉克統計,並將經典情況的麥克斯韋-玻爾茲曼統計作為特例。隨後是一系列例子:諧振子、高分子鏈、二能級系統、玻色子(光子、聲子和玻色-愛因斯坦凝聚)以及費米子(金屬和半導體中的電子)。對玻色子和費米子的處理擴展了它們的熱行為的詳細比較。現在還包括對中子星的研究,這是一個純費米子系統。分佈和波動的概念也被簡要討論,並解釋了一個重要的被忽視的問題:一個級數的總和與相關積分的值之間的等價性,進一步教導對玻色-愛因斯坦凝聚的見解。對有影響力的科學家的簡要歷史說明構成了結尾章節。

這本書將成為本科生首次接觸統計力學的重要資源,為他們的進階學習奠定堅實的基礎。