Umfang:
1 Online-Ressource (XV, 114 Seiten)
Ausgabe:
Second edition
ISBN:
9783031570452
Serie:
SpringerBriefs in physics
Inhalt:
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 taking advantage of modern methods of non-equilibrium statistical mechanics.
Anmerkung:
1. The Constitutive Statements of Thermodynamics -- 2. Minimal Mechanical Model of Thermodynamics -- 3. The Microcanonical Ensemble -- 4. The Canonical Ensemble -- 5. The TP Ensemble -- 6. The Grandcanonical Ensemble -- 7. Ensemble (in)-Equivalence -- 8. Statistical mechanical foundation of the law of entropy increase.
Weitere Ausg.:
ISBN 9783031570445
Weitere Ausg.:
ISBN 9783031570469
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Campisi, Michele Lectures on the mechanical foundations of thermodynamics Cham : Springer, 2024 ISBN 3031570448
Weitere Ausg.:
ISBN 9783031570445
Sprache:
Englisch
DOI:
10.1007/978-3-031-57045-2
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