Lectures on the Mechanical Foundations of Thermodynamics
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...
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| Format: | Electronic eBook |
| Language: | English |
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Springer Nature Switzerland : Imprint: Springer,
2024.
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| Edition: | 2nd ed. 2024. |
| Series: | SpringerBriefs in Physics,
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| Online Access: | https://doi.org/10.1007/978-3-031-57045-2 |
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| 100 | 1 | |a Campisi, Michele. |e author. |0 (orcid)0000-0002-8116-8774 |1 https://orcid.org/0000-0002-8116-8774 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Lectures on the Mechanical Foundations of Thermodynamics |h [electronic resource] / |c by Michele Campisi. |
| 250 | |a 2nd ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (XV, 114 p. 22 illus.). |b 17 illus. in color. | ||
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| 341 | 0 | |b Single logical reading order |2 onix | |
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| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
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| 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Thermodynamics. | |
| 650 | 0 | |a Statistical Physics. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Thermodynamics. |
| 650 | 2 | 4 | |a Statistical Physics. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
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| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031570445 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031570469 |
| 830 | 0 | |a SpringerBriefs in Physics, |x 2191-5431 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-57045-2 |
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| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||