Nonequilibrium phase transitions in lattice systems with random-field competing kinetics

Nonequilibrium phase transitions and tricriticality in a three-dimensional lattice system with random-field competing kinetics

“…In other words, one may assume that spins and fields behave independently of each other so that a conflict occurs, and a steady nonequilibrium condition prevails asymptotically. This is consistent with the reported observation of nonequilibrium effects, for example, the influence of the details of the dynamical process (kinetics) on the steady states in some real systems (see [17,23] and references therein).…”

“…The equilibrium RFIM has extensively been studied by different approaches, such as mean-field theory [8][9][10], the renormalization group [11,12] and Monte Carlo (MC) simulations [13,14]. However, the critical behavior of the nonequilibrium case [15] is little understood, with the majority of the results concerning one-dimensional systems [16][17][18]. A mean field theory was also developed [19], but numerical results are rare; to the best of our knowledge, only a recent work considered the problem via MC simulations [20] 1 .…”

“…This corresponds to the well-known equilibrium RFIM, but h i is continuously changed by the kinetics in such a way that it always mantains itself as a realization of P (h i ). As discussed in [17,19], this kind of dynamics induces randomness and a sort of dynamical frustration that does not occurs in equilibrium models. In other words, one may assume that spins and fields behave independently of each other so that a conflict occurs, and a steady nonequilibrium condition prevails asymptotically.…”

Numerical study of the three-state Ashkin-Teller model with competing dynamics

“…In order to get the phase diagrams of the system, we essentially rely on the order parameters S , σ , σ S and µ AF . We check that the behaviour of σ 2 , S 2 , .etc, does not introduce any fundamental changes to the results reported in the following. In the study of the model, two main regimes may be distinguished.…”

“…The study of nonequilibrium steady states in spin systems has been a subject of great interest in statistical mechanics for the last three decades [1][2][3]. These states are interesting since they often show a variety of fascinating phase transitions.…”