title: Minimal Fokker-Planck theory for the thermalization of mesoscopic subsystems.
abstract: We explore a minimal paradigm for thermalization, consisting of two weakly coupled, low dimensional, nonintegrable 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-Planck 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.
authors: Department of Chemistry, Ben Gurion University of the Negev, Beer Sheva 84105, Israel.
authors: Igor
authors: I
authors: Tikhonenkov
authors: Amichay
authors: A
authors: Vardi
authors: James R
authors: JR
authors: Anglin
authors: Doron
authors: D
authors: Cohen