Self-organization in a kinetic Ising model.

Abstract

We have analyzed a self-organization occurring in an open ferromagnetic Ising system on a square lattice in contact with a heat bath and subject to an external source of energy. The system follows a stochastic dynamics composed of two processes: one of the Glauber type, which simulates the contact of the system with the heat bath, and the other of the Kawasaki type, which simulates the continuous flux of energy into the system. When the flux is small, the stationary state is paramagnetic at high temperatures and ferromagnetic at low temperatures. By increasing the flux, the ferromagnetic state is destroyed and the system reaches a new stationary state of high energy identified with the antiferromagnetic ordered state.