Heat fluctuations in Ising models coupled with two different heat baths

Abstract

Monte Carlo simulations of Ising models coupled to heat baths at two different temperatures are used to study a fluctuation relation for the heat exchanged between the two thermostats in a time $\tau$. Different kinetics (single--spin--flip or spin--exchange Kawasaki dynamics), transition rates (Glauber or Metropolis), and couplings between the system and the thermostats have been considered. In every case the fluctuation relation is verified in the large $\tau$ limit, both in the disordered and in the low temperature phase. Finite-$\tau$ corrections are shown to obey a scaling behavior.

5 pages, 2 figures. To be published in Journal of Physics A: Mathematical and Theoretical as fast track communication

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Cited by in corpus (6)

• Fluctuations of the heat exchanged between two quantum spin chains
• Fluctuation relations in non-equilibrium stationary states of Ising models
• Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
• Heat exchanges in coarsening systems
• Slow relaxation in microcanonical warming of a Ising lattice
• Thermalization with a multibath: an investigation in simple models