dorsal/arxiv
View SchemaChaos, Thermodynamics and Quantum Mechanics: an Application to Celestial Dynamics
| Authors | David Vitali, Paolo Grigolini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806092 |
| URL | https://arxiv.org/abs/quant-ph/9806092 |
| DOI | 10.1016/S0375-9601(98)00745-2 |
| Journal | Phys.Lett.A249:248-258,1998 |
Abstract
We address the issue of the quantum-classical correspondence in chaotic systems using, as recently done by Zurek [e-print quant-ph/9802054], 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.
{
"annotation_id": "1fc66397-9d30-4f87-8495-e297765b40fd",
"date_created": "2026-03-02T18:02:44.334000Z",
"date_modified": "2026-03-02T18:02:44.334000Z",
"file_hash": "95b8c8613e4977f77afb982aad97a830858cc1c304a0596f52e8e97d6abc406f",
"private": false,
"record": {
"abstract": "We address the issue of the quantum-classical correspondence in chaotic\nsystems using, as recently done by Zurek [e-print quant-ph/9802054], the solar\nsystem as a whole as a case study: this author shows that the classicality of\nthe planetary motion is ensured by the environment-induced decoherence. We show\nthat equivalent results are provided by the theories of spontaneous\nfluctuations and that these latter theories, in some cases, result in a still\nfaster process of decoherence. We show that, as an additional benefit, the\nassumption of spontaneous fluctuation makes it possible to genuinely derive\nthermodynamics from mechanics, namely, without implicitly assuming\nthermodynamics.",
"arxiv_id": "quant-ph/9806092",
"authors": [
"David Vitali",
"Paolo Grigolini"
],
"categories": [
"quant-ph",
"chao-dyn",
"nlin.CD"
],
"doi": "10.1016/S0375-9601(98)00745-2",
"journal_ref": "Phys.Lett.A249:248-258,1998",
"title": "Chaos, Thermodynamics and Quantum Mechanics: an Application to Celestial Dynamics",
"url": "https://arxiv.org/abs/quant-ph/9806092"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "373dc5b0-a1e1-435b-8e56-3042ea87e3c0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}