| Description |
1 online resource : illustrations (chiefly color) |
| Series |
SpringerBriefs in physics, 2191-5431 |
|
SpringerBriefs in physics. 2191-5431
|
| Contents |
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 |
| 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 |
Includes bibliographical references |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed November 9, 2021) |
| Subject |
Thermodynamics.
|
|
Thermodynamics
|
|
thermodynamics.
|
|
Thermodynamics
|
| Form |
Electronic book
|
| ISBN |
9783030871635 |
|
3030871630 |
|
