### Abstract

A two-dimensional half-filled lattice gas model with nearest-neighbour attractive interaction is studied where particles may be coupled to two thermal baths at different temperatures T_{1} and T_{2}. The hopping of particles is governed by the heat bath at temperature T_{1} with probability p and the other heat bath at temperature T_{2} with probability 1-p independently of the hopping direction, In spite of the spatial isotropic dynamics, the stability of interface depends on its orientation: the vertical and horizontal interfaces become unstable and interfaces are stable in the diagonal directions. As a consequence, particles condense into a rifled square in the novel ordered state. The resulting non-equilibrium stationary state is studied as a function of competing parameter p and temperatures T_{1} and T_{2} by Monte Carlo simulation and analytical approximations as well.

Original language | English |
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Pages (from-to) | 742 |

Number of pages | 1 |

Journal | Computer Physics Communications |

Volume | 121 |

Publication status | Published - Sep 1999 |

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### ASJC Scopus subject areas

- Computer Science Applications
- Physics and Astronomy(all)

### Cite this

**Novel stationary state in a two-temperature model with competing dynamics.** / Szolnoki, A.

Research output: Contribution to journal › Article

*Computer Physics Communications*, vol. 121, pp. 742.

}

TY - JOUR

T1 - Novel stationary state in a two-temperature model with competing dynamics

AU - Szolnoki, A.

PY - 1999/9

Y1 - 1999/9

N2 - A two-dimensional half-filled lattice gas model with nearest-neighbour attractive interaction is studied where particles may be coupled to two thermal baths at different temperatures T1 and T2. The hopping of particles is governed by the heat bath at temperature T1 with probability p and the other heat bath at temperature T2 with probability 1-p independently of the hopping direction, In spite of the spatial isotropic dynamics, the stability of interface depends on its orientation: the vertical and horizontal interfaces become unstable and interfaces are stable in the diagonal directions. As a consequence, particles condense into a rifled square in the novel ordered state. The resulting non-equilibrium stationary state is studied as a function of competing parameter p and temperatures T1 and T2 by Monte Carlo simulation and analytical approximations as well.

AB - A two-dimensional half-filled lattice gas model with nearest-neighbour attractive interaction is studied where particles may be coupled to two thermal baths at different temperatures T1 and T2. The hopping of particles is governed by the heat bath at temperature T1 with probability p and the other heat bath at temperature T2 with probability 1-p independently of the hopping direction, In spite of the spatial isotropic dynamics, the stability of interface depends on its orientation: the vertical and horizontal interfaces become unstable and interfaces are stable in the diagonal directions. As a consequence, particles condense into a rifled square in the novel ordered state. The resulting non-equilibrium stationary state is studied as a function of competing parameter p and temperatures T1 and T2 by Monte Carlo simulation and analytical approximations as well.

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UR - http://www.scopus.com/inward/citedby.url?scp=0033185560&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033185560

VL - 121

SP - 742

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

ER -