Open AccessDynamics of many particles in the urn model
Author(s) -
Bo Chen,
Tong Pei-Qing
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.5554
Subject(s) - statistical physics , physics , langevin dynamics , langevin equation , thermodynamic equilibrium , gaussian , power law , dynamics (music) , noise (video) , thermodynamics , mathematics , statistics , quantum mechanics , computer science , artificial intelligence , acoustics , image (mathematics)
We study the behavior of many particles moving in the 2-urn and 3-urn systems driven by a stochastic heat bath. The velocities and the positions of the particles are calculated through noise activated 1-D Langevin function. We find the time in which the system is in equilibrium becomes longer than the time in which the system is in non-equilibrium as the bath temperature increases. The velocity distribution of the particles is always Gaussian. The effective temperature T2 characterizing non-equilibrium state obeys the power law with the restitution coefficient r.