In this paper, we study the boundary-driven ferromagnetic Ising model in two dimensions. In this non-equilibrium setting, in the low temperature region, the Ising model has phase separation in the presence of a current. We investigate, by means of numerical simulations, Kawasaki dynamics with magnetization reservoirs. The results show that, in the stationary non-equilibrium state, the Ising model may have uphill diffusion and magnetization profiles with three discontinuities. These results complement the results of a previous paper by Colangeli, Giberti, Vernia and the present author [9]. They also allow to state a full picture of the hydrodynamic limit.
The Non-Equilibrium Ising Model in Two Dimensions: a Numerical Study / Giardina, Cristian. - In: MARKOV PROCESSES AND RELATED FIELDS. - ISSN 1024-2953. - 26:1(2020), pp. 167-183.
The Non-Equilibrium Ising Model in Two Dimensions: a Numerical Study
Giardina Cristian
2020
Abstract
In this paper, we study the boundary-driven ferromagnetic Ising model in two dimensions. In this non-equilibrium setting, in the low temperature region, the Ising model has phase separation in the presence of a current. We investigate, by means of numerical simulations, Kawasaki dynamics with magnetization reservoirs. The results show that, in the stationary non-equilibrium state, the Ising model may have uphill diffusion and magnetization profiles with three discontinuities. These results complement the results of a previous paper by Colangeli, Giberti, Vernia and the present author [9]. They also allow to state a full picture of the hydrodynamic limit.
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