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Lectures on the Mechanical Foundations of Thermodynamics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Lectures on the Mechanical Foundations of Thermodynamics/ by Michele Campisi.
作者:	Campisi, Michele.
面頁冊數:	XV, 91 p. 17 illus., 14 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Methods in Physics. -
電子資源:	https://doi.org/10.1007/978-3-030-87163-5
ISBN:	9783030871635

Lectures on the Mechanical Foundations of Thermodynamics
Campisi, Michele.

Lectures on the Mechanical Foundations of Thermodynamics[electronic resource] /by Michele Campisi. - 1st ed. 2021. - XV, 91 p. 17 illus., 14 illus. in color.online resource. - SpringerBriefs in Physics,2191-5431. - SpringerBriefs in Physics,.

Preface -- The Constitutive Statements of Thermodynamics -- Minimal Mechanical Model of Thermodynamics -- The Microcanonical Ensemble -- The Canonical Ensemble -- The TP Ensemble -- The Grand Canonical Ensemble -- Ensemble (In)-Equivalence -- Bibliography.

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.

ISBN: 9783030871635

Standard No.: 10.1007/978-3-030-87163-5doiSubjects--Topical Terms:

670749
Mathematical Methods in Physics.

LC Class. No.: QC310.15-319

Dewey Class. No.: 536.7

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