### Abstract

The nonequilibrium steady state of an infinite range Ising model is studied. The steady state is obtained by dividing the spins into two groups and attaching them to two heat baths generating spin flips at different temperatures. In the thermodynamic limit, the resulting dynamics can be solved exactly, and the probability flow in the phase space can be visualized. We can calculate the steady state fluctuations far from equilibrium and, in particular, we find the exact probability distribution of the energy current in both the high and low temperature phases.

Original language | English |
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Pages (from-to) | 111-126 |

Number of pages | 16 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Issue number | 2 |

DOIs | |

Publication status | Published - 2005 |

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### Keywords

- Stationary states (theory)
- Transport processes/heat transfer (theory)

### ASJC Scopus subject areas

- Statistics and Probability
- Statistical and Nonlinear Physics

### Cite this

*Journal of Statistical Mechanics: Theory and Experiment*, (2), 111-126. https://doi.org/10.1088/1742-5468/2005/02/P02008

**Energy flux distribution in a two-temperature Ising model.** / Lecomte, Vivien; Rácz, Z.; Van Wijland, Frédéric.

Research output: Contribution to journal › Article

*Journal of Statistical Mechanics: Theory and Experiment*, no. 2, pp. 111-126. https://doi.org/10.1088/1742-5468/2005/02/P02008

}

TY - JOUR

T1 - Energy flux distribution in a two-temperature Ising model

AU - Lecomte, Vivien

AU - Rácz, Z.

AU - Van Wijland, Frédéric

PY - 2005

Y1 - 2005

N2 - The nonequilibrium steady state of an infinite range Ising model is studied. The steady state is obtained by dividing the spins into two groups and attaching them to two heat baths generating spin flips at different temperatures. In the thermodynamic limit, the resulting dynamics can be solved exactly, and the probability flow in the phase space can be visualized. We can calculate the steady state fluctuations far from equilibrium and, in particular, we find the exact probability distribution of the energy current in both the high and low temperature phases.

AB - The nonequilibrium steady state of an infinite range Ising model is studied. The steady state is obtained by dividing the spins into two groups and attaching them to two heat baths generating spin flips at different temperatures. In the thermodynamic limit, the resulting dynamics can be solved exactly, and the probability flow in the phase space can be visualized. We can calculate the steady state fluctuations far from equilibrium and, in particular, we find the exact probability distribution of the energy current in both the high and low temperature phases.

KW - Stationary states (theory)

KW - Transport processes/heat transfer (theory)

UR - http://www.scopus.com/inward/record.url?scp=24644464207&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24644464207&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2005/02/P02008

DO - 10.1088/1742-5468/2005/02/P02008

M3 - Article

SP - 111

EP - 126

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 2

ER -