Istituto di Biofisica     
Vitali D., Grigolini P. Chaos, thermodynamics and quantum mechanics: an application to celestial dynamics. In: Physics Letters A, vol. 249 (4-7) pp. 248 - 258. Elsevier, 1998.
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.
DOI: 10.1016/S0375-9601(98)00745-2
Subject Chaos
Quantum mechanic
Celestial dynamic

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