LEADER 03214nam 22006375 450 001 9910736993703321 005 20251107172602.0 010 $a3-030-87163-0 010 $a9783030871635$b(eBook) 010 $a3030871630$b(eBook) 010 $z9783030871628$b(print) 024 7 $a10.1007/978-3-030-87163-5 035 $a(CKB)5470000001298865 035 $a(MiAaPQ)EBC6796436 035 $a(Au-PeEL)EBL6796436 035 $a(OCoLC)1282004508 035 $a(PPN)258298111 035 $a(DE-He213)978-3-030-87163-5 035 $a(EXLCZ)995470000001298865 100 $a20211030d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures on the Mechanical Foundations of Thermodynamics /$fby Michele Campisi 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (xv, 91 pages) $cillustrations 225 1 $aSpringerBriefs in Physics,$x2191-5431 311 08$a3-030-87162-2 320 $aIncludes bibliographical references. 327 $aPreface -- 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. 330 $aThis brief provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866-1871). Despite the later contribution by Helmholtz, Boltzmann himself (1884-1887), Gibbs, P. Hertz, and Einstein, the mechanical approach remained almost unknown to the modern reader, in favour of the celebrated combinatorial approach, developed by Boltzmann himself during his probabilistic turn (1876-1884). The brief constitutes an ideal continuation of a graduate course of classical mechanics and requires knowledge of basic calculus in many dimension (including differential forms), thermodynamics, probability theory, besides Hamiltonian mechanics. The cornerstone of the whole presentation is the ergodic hypothesis. Special attention is devoted to Massieu potentials (the Legendre transforms of the entropy) which are most natural in statistical mechanics, and also allow for a more direct treatment of the topic of ensemble equivalence. 410 0$aSpringerBriefs in Physics,$x2191-5431 606 $aThermodynamics 606 $aStatistical Physics 606 $aMathematical physics 606 $aThermodynamics 606 $aStatistical Physics 606 $aMathematical Methods in Physics 615 0$aThermodynamics. 615 0$aStatistical Physics. 615 0$aMathematical physics. 615 14$aThermodynamics. 615 24$aStatistical Physics. 615 24$aMathematical Methods in Physics. 676 $a536.7 700 $aCampisi$b Michele$01071985 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910736993703321 996 $aLectures on the Mechanical Foundations of Thermodynamics$92568140 997 $aUNINA