TY - JOUR
T1 - Minimal fokker-planck theory for the thermalization of mesoscopic subsystems
AU - Tikhonenkov, Igor
AU - Vardi, Amichay
AU - Anglin, James R.
AU - Cohen, Doron
PY - 2013/1/30
Y1 - 2013/1/30
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84873180156&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.110.050401
DO - 10.1103/PhysRevLett.110.050401
M3 - Article
AN - SCOPUS:84873180156
SN - 0031-9007
VL - 110
JO - Physical Review Letters
JF - Physical Review Letters
IS - 5
M1 - 050401
ER -