Cyclic thermodynamic processes and entropy production
| dc.creator | Salem, Walid K. Abou | |
| dc.creator | Froehlich, Juerg | |
| dc.date | 2006-01-23 | |
| dc.date | 2006-04-23 | |
| dc.date.accessioned | 2026-07-07T06:58:24Z | |
| dc.date.available | 2026-07-07T06:58:24Z | |
| dc.description | We study the time evolution of a periodically driven quantum-mechanical system coupled to several reserviors of free fermions at different temperatures. This is a paradigm of a cyclic thermodynamic process. We introduce the notion of a Floquet Liouvillean as the generator of the dynamics on an extended Hilbert space. We show that the time-periodic state to which the true state of the coupled system converges after very many periods corresponds to a zero-energy resonance of the Floquet Liouvillean. We then show that the entropy production per cycle is (strictly) positive, a property that implies Carnot's formulation of the second law of thermodynamics. | |
| dc.description | version accepted for publication in J. Stat. Phys | |
| dc.identifier | https://arxiv.org/abs/math-ph/0601043 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0601043 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107343 | |
| dc.subject | Mathematical Physics | |
| dc.title | Cyclic thermodynamic processes and entropy production | |
| dc.type | text |