03465nam a22005295i 4500 978-3-031-57045-2 DE-He213 20251030114928.0 cr nn 008mamaa 250121s2024 sz | s |||| 0|eng d 9783031570452 978-3-031-57045-2 10.1007/978-3-031-57045-2 doi QC310.15-319 PHH bicssc SCI065000 bisacsh PHH thema Campisi, Michele. author. aut http://id.loc.gov/vocabulary/relators/aut 90366 Lectures on the Mechanical Foundations of Thermodynamics [electronic resource] / by Michele Campisi. 2nd ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XV, 114 p. 22 illus., 17 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda SpringerBriefs in Physics, 2191-5431 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. 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. Thermodynamics. 66400 Statistical Physics. 70323 Mathematical physics. Thermodynamics. 66400 Statistical Physics. 70323 Mathematical Methods in Physics. 70877 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031570445 Printed edition: 9783031570469 SpringerBriefs in Physics, 2191-5431 67187 https://doi.org/10.1007/978-3-031-57045-2 ZDB-2-PHA ZDB-2-SXP 66466 66466