Lectures on the mechanical foundations of thermodynamics / Michele Campisi.
Campisi, Michele, author.
2021
QC311.19 .C36 2021
Available Online

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Title Lectures on the mechanical foundations of thermodynamics / Michele Campisi.
Author Campisi, Michele, author.
ISBN 9783030871635 (electronic bk.)
3030871630 (electronic bk.)
9783030871628
3030871622
DOI https://doi.org/10.1007/978-3-030-87163-5
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (chiefly color)
Other Standard Identifiers 10.1007/978-3-030-87163-5 doi
Call Number QC311.19 .C36 2021
Dewey Decimal Classification 536/.7
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed November 9, 2021).
Series SpringerBriefs in physics. 2191-5431
Available in Other Form Lectures on the mechanical foundations of thermodynamics.
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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.

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