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.