Damage spreading in a driven lattice gas model

We studied damage spreading in a Driven Lattice Gas (DLG) model as a function of the temperature T , the magnitude of the external driving field E , and the lattice size. The DLG model undergoes an order–disorder second-order phase transition at the critical temperature T c ( E ) , such that the ordered phase is characterized by high-density strips running along the direction of the applied field; while in the disordered phase one has a lattice-gas-like behavior. It is found that the damage always spreads for all the investigated temperatures and reaches a saturation value D s a t that depends only on T . D s a t increases for T < T c ( E = ∞ ) , decreases for T > T c ( E = ∞ ) and is free of finite-size effects. This behavior can be explained as due to the existence of interfaces between the high-density strips and the lattice-gas-like phase whose roughness depends on T . Also, we investigated damage spreading for a range of finite fields as a function of T , finding a behavior similar to that of the case with E = ∞ .