A brief comment on the modeling of flow

Marro, Joaquín

doi:10.1016/j.cpc.2008.01.020

Cited by 4 publications

(1 citation statement)

References 58 publications

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“…Starting with this model, the driven lattice models (usually with attractive interactions) have provided a basis for studies in the field of non-equilibrium phenomena. Monte Carlo simulations (in two [3][4][5][6][7][8][9][10] and three [11] dimensions), mean-field solutions [12][13][14] and field theoretic renormalization analysis [15][16][17][18] have been used as main methods to investigate the critical behavior of these systems.…”

Section: Introductionmentioning

confidence: 99%

Non-equilibrium phase transitions in the two-temperature Ising model with Kawasaki dynamics

Renklioglu

Yalabık

2012

Eur. Phys. J. B

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Phase transitions of the two-finite temperature Ising model on a square lattice are investigated by using a position space renormalization group (PSRG) transformation. Different finite temperatures, Tx and Ty, and also different timescale constants, αx and αy for spin exchanges in the x and y directions define the dynamics of the non-equilibrium system. The critical surface of the system is determined by RG flows as a function of these exchange parameters. The Onsager critical point (when the two temperatures are equal) and the critical temperature for the limit when the other temperature is infinite, previously studied by the Monte Carlo method, are obtained. In addition, two steady-state fixed points which correspond to the non-equilibrium phase transition are presented. These fixed points yield the different universality class properties of the non-equilibrium phase transitions.

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