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

References in corpus (8)

• Fluctuation theorems for stochastic dynamics
• An Extension of the Fluctuation Theorem
• Nonequilibrium fluctuations in a resistor
• Power and heat fluctuation theorems for electric circuits
• Work fluctuations for a Brownian particle between two thermostats
• Cumulants and large deviations of the current through non-equilibrium steady states
• Bona Fide Thermodynamic Temperature in Nonequilibrium Kinetic Ising Models
• The fluctuation-dissipation relation in an Ising model without detailed balance

Cited by in corpus (1)

• Fluctuation relations in non-equilibrium stationary states of Ising models