The logic of thermostatistical physics
著者
書誌事項
The logic of thermostatistical physics
（Physics and astronomy online library）
Springer, c2002
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
This book is devoted to a thorough analysis of the role that models play in the practise of physical theory. The authors, a mathematical physicist and a philosopher of science, appeal to the logicians' notion of model theory as well as to the concepts of physicists.
目次
1. Theories and Models: a Philosophical Overview.- 2. Thermostatics.- 3. Kinetic Theory of Gases.- 4. Classical Probability.- 5. Modern Probability: Syntax and Models.- 6. Modern Probability: Competing Semantics.- 7. Setting-up the Ergodic Problem.- 8. Models and Ergodic Hierarchy.- 9. Ergodicity vs. Integrability.- 10. The Gibbs Canonical Ensembles.- 11. Phase Transitions: van der Waals to Lenz.- 12. Ising and Related Models.- 13. Scaling and Renormalization.- 14. Quantum Models for Phase Transitions.- 15. Approach to Equilibrium in Quantum Mechanics.- 16. The Philosophical Horizon.- A. Appendix: Models in Mathematical Logic.- A.1 Syntax.- A.2 Semantics.- B. Appendix: The Calculus of Differentials.- B.1 Green's Theorem.- B.2 Stokes' and Gauss' Theorems.- B.3 Higher Differentials.- C. Appendix: Recursive Functions.- D. Appendix: Topological Essences.- D.1 Basic Definitions.- D.2 Examples from Functional Analysis.- D.3 Separability and Compactness.- D.4 The Baire Essentials.- E. Appendix: Models vs. Models.- E.1 Models in Wigner's Writings and in the Third Wigner Symposium.- E.2 A Search for Precedents.- E.3 The Case.- E.4 Closing Statements.- References.- Citation Index.
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