Metastabilities in the degenerated phase of the two-component model.
In previous papers, we have introduced a new dynamical model of Ising spins, namely the two-component (TC) model. Using the Boltzmann factor, in this paper we introduce parameter T to the model. This is the standard method for introducing temperature. However, since we have not defined the energy for the TC model, but only the disagreement function, we will not call this parameter temperature. We will investigate the system in its degenerated phase, which consists of four qualitatively different steady states at T = 0. We will show that for T>0, three of these steady states become metastable, and that above T = T* they become unstable. In the range 0<T< T*, the evolution of the system consists of relatively long stagnation periods, where the system remains in one of the metastable states, and rapid transition periods, where the system goes from one metastable state to another. In this range, the distribution function of waiting times needed to reach one of the states (steady for T = 0) has an exponential tail with a T-dependent exponent.
Sznajd-Weron
Katarzyna
K
Institute of Theoretical Physics, University of Wrocław, pl. Maxa Borna 9, 50-204 Wrocław, Poland. kweron@ift.uni.wroc.pl