Lectures on the Mechanical Foundations of Thermodynamics (eBook)

Michele Campisi (Autor)

eBook Download: PDF

2021
91 Seiten
Springer International Publishing (Verlag)
978-3-030-87163-5 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 30.10.2021
• Reihe/Serie: SpringerBriefs in Physics
• Reihe/Serie: SpringerBriefs in Physics
• Zusatzinfo: XV, 91 p. 17 illus., 14 illus. in color.
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Schlagworte: Equilibrium thermostatics and irreversible thermodynamics • Finite bath fluctuatio theorem • Generalized Helmholtz theorem (GHT) • Logarithmic oscillators • Nonanalytic microscopic phase transitions • Power-laws in equilibrium • Topological conditions for discrete symmetry breaking
• ISBN-10: 3-030-87163-0 / 3030871630
• ISBN-13: 978-3-030-87163-5 / 9783030871635