Anisotropic ordering in a two-temperature lattice gas
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Anisotropic ordering in a two-temperature lattice gas. / Szolnoki, Attila; Szabó, György; Mouritsen, Ole G.
In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, No. 3, 01.01.1997, p. 2255-2259.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Anisotropic ordering in a two-temperature lattice gas
AU - Szolnoki, Attila
AU - Szabó, György
AU - Mouritsen, Ole G.
PY - 1997/1/1
Y1 - 1997/1/1
N2 - We consider a two-dimensional lattice gas model with repulsive nearest- and next-nearest-neighbor interactions that evolves in time according to anisotropic Kawasaki dynamics. The hopping of particles along the principal directions is governed by two heat baths at different temperatures [formula presented] and [formula presented]. The stationary states of this nonequilibrium model are studied using a simple mean-field theory and linear stability analysis. The results are improved by a generalized dynamical mean-field approximation. In the stable ordered state the particles form parallel chains which are oriented along the direction of the higher temperature. In the resulting phase diagram in the [formula presented]-[formula presented] plane the critical temperature curve shows a weak maximum as a function of the parallel temperature which is confirmed by Monte Carlo simulations. Finite-size scaling analysis suggests that the model leaves the equilibrium universality class of the x-y model with cubic anisotropy and is described by the Ising exponents.
AB - We consider a two-dimensional lattice gas model with repulsive nearest- and next-nearest-neighbor interactions that evolves in time according to anisotropic Kawasaki dynamics. The hopping of particles along the principal directions is governed by two heat baths at different temperatures [formula presented] and [formula presented]. The stationary states of this nonequilibrium model are studied using a simple mean-field theory and linear stability analysis. The results are improved by a generalized dynamical mean-field approximation. In the stable ordered state the particles form parallel chains which are oriented along the direction of the higher temperature. In the resulting phase diagram in the [formula presented]-[formula presented] plane the critical temperature curve shows a weak maximum as a function of the parallel temperature which is confirmed by Monte Carlo simulations. Finite-size scaling analysis suggests that the model leaves the equilibrium universality class of the x-y model with cubic anisotropy and is described by the Ising exponents.
UR - http://www.scopus.com/inward/record.url?scp=0000130362&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.55.2255
DO - 10.1103/PhysRevE.55.2255
M3 - Journal article
AN - SCOPUS:0000130362
VL - 55
SP - 2255
EP - 2259
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 3
ER -
ID: 236887562