Lectures on the Mechanical Foundations of Thermodynamics

Campisi, Michele

  • 出版商: Springer
  • 出版日期: 2024-11-13
  • 售價: $1,990
  • 貴賓價: 9.5$1,891
  • 語言: 英文
  • 頁數: 116
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031570448
  • ISBN-13: 9783031570445
  • 相關分類: 熱力學 Thermodynamics
  • 尚未上市,無法訂購

商品描述

This book provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866-1871). Despite the later contribution by Helmholtz, Boltzmann himself (1884-1887), Gibbs, P. Hertz, and Einstein, the mechanical approach remained almost unknown to the modern reader, in favour of the celebrated combinatorial approach, developed by Boltzmann himself during his probabilistic turn (1876-1884). The brief constitutes an ideal continuation of a graduate course of classical mechanics and requires knowledge of basic calculus in many dimensions (including differential forms), thermodynamics, and probability theory, besides Hamiltonian mechanics. The cornerstone of the whole presentation is the ergodic hypothesis. Special attention is devoted to Massieu potentials (the Legendre transforms of the entropy) which are most natural in statistical mechanics and also allow for a more direct treatment of the topic of ensemble equivalence. In this second edition, a chapter is added that addresses the long-debated question of how the second law of thermodynamics can be reconciled with mechanics, by using modern methods of non-equilibrium statistical mechanics.

商品描述(中文翻譯)

本書提供了一個現代的教學闡述,探討由玻爾茲曼在其早期作品(1866-1871)中所開創的統計力學的機械方法。儘管後來有赫爾姆霍茲、玻爾茲曼本人(1884-1887)、吉布斯、P. Hertz 和愛因斯坦的貢獻,這種機械方法對於現代讀者來說幾乎是未知的,反而是由玻爾茲曼在其概率轉向期間(1876-1884)所發展的著名組合方法更為人所知。這本書的簡介理想地延續了經典力學的研究生課程,並要求具備多維基本微積分(包括微分形式)、熱力學和概率論的知識,此外還包括哈密頓力學。整個闡述的基石是遍歷假設。特別注意的是馬西厄勢(熵的勒讓德變換),這在統計力學中是最自然的,並且也使得對於集合等價主題的處理更加直接。在第二版中,新增了一章,探討長期以來爭論不休的問題,即如何利用現代非平衡統計力學的方法來調和熱力學第二定律與力學之間的關係。

作者簡介

Dr. Michele Campisi is a tenured researcher at the Institute for Nanoscience of Italy's National Research Council (CNR) and Lecturer in Quantum Thermodynamics at the University of Pisa, Italy. He earned his Ph.D. in Physics in 2008 from the University of North Texas, USA, for which he received the Robert S. Hyer Recognition for "Excellence in Research", along with his supervisor, Prof. Don H. Kobe. He has been a research fellow at the University of Augsburg, Germany, where he pursued an intense research programme on non-equilibrium thermodynamics of quantum systems with Prof. P. Hänggi and Prof. P. Talkner. In 2014, he was awarded a Marie Curie Intra-European Fellowship with a project on "Non-equilibrium thermodynamic fluctuations in superconducting devices", which he pursued at Scuola Normale Superiore, Pisa, Italy. He then joined the faculty of the University of Florence, Italy, where he taught the course of Statistical Mechanics.

作者簡介(中文翻譯)

Dr. Michele Campisi 是義大利國家研究委員會 (CNR) 奈米科學研究所的終身研究員,並在義大利比薩大學教授量子熱力學。他於 2008 年在美國北德克薩斯大學獲得物理學博士學位,並因其研究卓越獲得 Robert S. Hyer 獎,與他的指導教授 Don H. Kobe 教授共同獲獎。他曾在德國奧格斯堡大學擔任研究員,與 P. Hänggi 教授和 P. Talkner 教授合作,進行量子系統非平衡熱力學的深入研究計畫。2014 年,他獲得瑪麗居里歐洲內部獎學金,進行「超導裝置中的非平衡熱力學波動」的研究,該計畫在義大利比薩的 Scuola Normale Superiore 進行。之後,他加入義大利佛羅倫斯大學的教職,教授統計力學課程。