國立虎尾科技大學 |

Lectures on the mechanical foundations of thermodynamics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Lectures on the mechanical foundations of thermodynamics/ by Michele Campisi.
作者:	Campisi, Michele.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xv, 114 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Thermodynamics. -
電子資源:	https://doi.org/10.1007/978-3-031-57045-2
ISBN:	9783031570452

Lectures on the mechanical foundations of thermodynamics
Campisi, Michele.

Lectures on the mechanical foundations of thermodynamics[electronic resource] /by Michele Campisi. - Second edition. - Cham :Springer Nature Switzerland :2024. - xv, 114 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in physics,2191-5431. - SpringerBriefs in physics..

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.

ISBN: 9783031570452

Standard No.: 10.1007/978-3-031-57045-2doiSubjects--Topical Terms:

596513
Thermodynamics.

LC Class. No.: QC311.19

Dewey Class. No.: 536.7

Lectures on the mechanical foundations of thermodynamics
LDR:02629nam a2200349 a 4500 001 1153187
003 DE-He213
005 20250121210426.0
006 m o d
007 cr nn 008maaau
008 250618s2024 sz s 0 eng d
020 $a 9783031570452 $q (electronic bk.)
020 $a 9783031570445 $q (paper)
024 7 $a 10.1007/978-3-031-57045-2 $2 doi
035 $a 978-3-031-57045-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QC311.19
072 7 $a PHH $2 bicssc
072 7 $a SCI065000 $2 bisacsh
072 7 $a PHH $2 thema
082 0 4 $a 536.7 $2 23
090 $a QC311.19 $b .C197 2024
100 1 $a Campisi, Michele. $e author. $3 1362167
245 1 0 $a Lectures on the mechanical foundations of thermodynamics $h [electronic resource] / $c by Michele Campisi.
250 $a Second edition.
260 $a Cham : $c 2024. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xv, 114 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in physics, $x 2191-5431
505 0 $a 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.
520 $a 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.
650 0 $a Thermodynamics. $3 596513
650 2 4 $a Statistical Physics. $3 670714
650 2 4 $a Mathematical Methods in Physics. $3 670749
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in physics. $3 881747
856 4 0 $u https://doi.org/10.1007/978-3-031-57045-2
950 $a Physics and Astronomy (SpringerNature-11651)