Onset of Fokker-Planck dynamics within a closed finite spin system
Autor(en): | Niemeyer, Hendrik Schmidtke, Daniel Gemmer, Jochen |
Stichwörter: | ENTROPY; Physics; Physics, Multidisciplinary; QUANTUM | Erscheinungsdatum: | 2013 | Herausgeber: | IOP PUBLISHING LTD | Journal: | EPL | Volumen: | 101 | Ausgabe: | 1 | Zusammenfassung: | Relaxation according to Fokker-Planck equations is a standard scenario in classical statistical mechanics. It is, however, not obvious how such a Fokker-Planck dynamics may emerge within a closed, finite quantum system. We present an analysis of a system comprising sixteen spins in which spatial inhomogeneities of the magnetization relax approximately in accord with a standard Fokker-Planck equation for a Brownian particle in a parabolic potential. While a single, specfic example is addressed in detail, arguments which indicate that the above findings may hold for a wider range of systems are given. Copyright (C) EPLA, 2013 |
ISSN: | 02955075 | DOI: | 10.1209/0295-5075/101/10010 |
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