Chaos,thermodynamics and quantum mechanics: an application to celestial dynamics |
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| Affiliation: | 1. Dipartimento di Matematica e Fisica, Università di Camerino, via Madonna delle Carceri, I-62032 Camerino, Italy;2. Istituto Nazionale di Fisica della Materia, Camerino, Italy;3. Dipartimento di Fisica, Università di Pisa, Piazza Torricelli 2, 56126 Pisa, Italy;4. Istituto di Biofisica del Consiglio Nazionale delle Ricerche, via San Lorenzo 28, 56127 Pisa, Italy;5. Department of Physics, University of North Texas, P.O. Box 5638, Denton, TX 76203, USA;1. Department of Physics, Middle East Technical University, 06531 Ankara, Turkey;2. Inter-Curricular Courses Department, Physics Group, Cankaya University, 06790 Ankara, Turkey;1. Institute for Molecular Engineering, University of Chicago, Chicago, IL 60637, USA;2. Argonne National Laboratory, Lemont, IL 60439, USA;3. Department of Chemical Engineering, Stanford University, Stanford, CA 94305, USA;4. Department of Physics, University of Chicago, Chicago, IL 60637, USA;5. James Franck Institute, University of Chicago, Chicago, IL 60637, USA;6. Department of Chemistry, University of Chicago, Chicago, IL 60637, USA |
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| Abstract: | We address the issue of the quantum-classical correspondence in chaotic systems using, as recently done Zurek [Phys. Scr. T 76 (1998) 186], the solar system as a whole as a case study: this author shows that the classicality of the planetary motion is ensured by the environment-induced decoherence. We show that equivalent results are provided by the theories of spontaneous fluctuations and that these latter theories, in some cases, result in a still faster process of decoherence. We show that, as an additional benefit, the assumption of spontaneous fluctuation makes it possible to genuinely derive thermodynamics from mechanics, namely, without implicitly assuming thermodynamics. |
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