Energy flux distribution in a two-temperature Ising model

Vivien Lecomte, Zoltán Rácz, Frédéric Van Wijland

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5 Citations (Scopus)


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 languageEnglish
Pages (from-to)111-126
Number of pages16
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number2
Publication statusPublished - Sep 19 2005



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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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