Minimal Fokker-Planck theory for the thermalization of mesoscopic subsystems

Autor:	Tikhonenkov, Igor, Vardi, Amichay, Anglin, James R., Cohen, Doron
Rok vydání:	2012
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Mesoscale and Nanoscale Physics Quantum Physics
Zdroj:	Phys. Rev. Lett. 110, 050401 (2013)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.110.050401
Popis:	We explore a minimal paradigm for thermalization, consisting of two weakly-coupled, low dimensional, non-integrable subsystems. As demonstrated for Bose-Hubbard trimers, chaotic ergodicity results in a diffusive response of each subsystem, insensitive to the details of the drive exerted on it by the other. This supports the hypothesis that thermalization can be described by a Fokker Plank equation. We also observe, however, that Levy-flight type anomalies may arise in mesoscopic systems, due to the wide range of time scales that characterize `sticky' dynamics. Comment: 7 pages, 6 figures, proofed version including the supplementary material
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1210.2607 Zobrazit plný text záznamu View this record from Arxiv