03260nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001700172072001600189072002300205072001500228100008600243245010700329250001800436264006900454300006400523336002600587337002600613338003600639347002400675490004200699505032500741520125201066650002702318650003202345650002602377650002702403650003202430650004402462710003402506773002602540776003602566776003602602830004902638856004602687912001402733912001402747999001702761978-3-031-57045-2DE-He21320251030114928.0cr nn 008mamaa250121s2024    sz |    s    |||| 0|eng d  a97830315704529978-3-031-57045-27 a10.1007/978-3-031-57045-22doi 4aQC310.15-319 7aPHH2bicssc 7aSCI0650002bisacsh 7aPHH2thema1 aCampisi, Michele.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut99036610aLectures on the Mechanical Foundations of Thermodynamicsh[electronic resource] /cby Michele Campisi.  a2nd ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXV, 114 p. 22 illus., 17 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringerBriefs in Physics,x2191-54310 a1. 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.  aThis 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. 0aThermodynamics.966400 0aStatistical Physics.970323 0aMathematical physics.14aThermodynamics.96640024aStatistical Physics.97032324aMathematical Methods in Physics.9708772 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303157044508iPrinted edition:z9783031570469 0aSpringerBriefs in Physics,x2191-543196718740uhttps://doi.org/10.1007/978-3-031-57045-2  aZDB-2-PHA  aZDB-2-SXP  c66466d66466