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Titlebook: Lectures on the Mechanical Foundations of Thermodynamics; Michele Campisi Book 20211st edition The Editor(s) (if applicable) and The Autho

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發(fā)表于 2025-3-21 18:31:59 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Lectures on the Mechanical Foundations of Thermodynamics
編輯Michele Campisi
視頻videohttp://file.papertrans.cn/584/583629/583629.mp4
概述Presents the forgotten mechanical approach of Boltzmann in a pedagogical, original, and organic manner.Avoids unnecessary mathematical abstraction and complications.Includes complements and exercises
叢書名稱SpringerBriefs in Physics
圖書封面Titlebook: Lectures on the Mechanical Foundations of Thermodynamics;  Michele Campisi Book 20211st edition The Editor(s) (if applicable) and The Autho
描述This brief 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 dimension (including differential forms), thermodynamics, 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..
出版日期Book 20211st edition
關(guān)鍵詞Finite bath fluctuatio theorem; Logarithmic oscillators; Nonanalytic microscopic phase transitions; Top
版次1
doihttps://doi.org/10.1007/978-3-030-87163-5
isbn_softcover978-3-030-87162-8
isbn_ebook978-3-030-87163-5Series ISSN 2191-5423 Series E-ISSN 2191-5431
issn_series 2191-5423
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:19:01 | 只看該作者
2191-5423 action and complications.Includes complements and exercises This brief 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), Gib
板凳
發(fā)表于 2025-3-22 03:57:08 | 只看該作者
The Grandcanonical Ensemble,es, this as well provides a good model of thermodynamics in the sense that it generates a conservative thermodynamic field. We illustrate this ensemble with the ideal gas, of which we calculate particle and energy fluctuations. Here we discuss as well the so called Gibbs correct counting factor.
地板
發(fā)表于 2025-3-22 07:58:11 | 只看該作者
5#
發(fā)表于 2025-3-22 08:49:00 | 只看該作者
The Canonical Ensemble,al gas thermodynamics within the canonical formalism, as well as general expressions linking correlation functions to response coefficients (i.e., the fluctuation-dissipation relations). We conclude with a discussion of the finite heat bath statistics, and the peculiar thermodynamic properties of logarithmic oscillators.
6#
發(fā)表于 2025-3-22 16:52:40 | 只看該作者
978-3-030-87162-8The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
7#
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發(fā)表于 2025-3-23 05:12:34 | 只看該作者
The Constitutive Statements of Thermodynamics,r fields, by introducing the central notion of thermodynamic field. The first and second laws dictate that this field is conservative and that there exist accordingly a thermodynamic potential, also known as the entropy. Massieu potentials and standard thermodynamic potentials are reviewed as well.
10#
發(fā)表于 2025-3-23 06:23:12 | 只看該作者
Minimal Mechanical Model of Thermodynamics, the very Hamiltonian nature of the equation of motion in the case of a particle in a U-shaped potential. This result is known as the Helmholtz theorem. We shall illustrate this with the most minimal mechanical model of a thermodynamic system, namely a particle in a 1D box, and other examples.
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