Probability distributions of the work in the 2D-Ising model

Abstract

Probability distributions of the magnetic work are computed for the 2D Ising model by means of Monte Carlo simulations. The system is first prepared at equilibrium for three temperatures below, at and above the critical point. A magnetic field is then applied and grown linearly at different rates. Probability distributions of the work are stored and free energy differences computed using the Jarzynski equality. Consistency is checked and the dynamics of the system is analyzed. Free energies and dissipated works are reproduced with simple models. The critical exponent $\delta$ is estimated in an usual manner.

arXiv comment12 pages, 6 figures. Comments are welcome

References in corpus (10)

• A nonequilibrium equality for free energy differences
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
• A two-state kinetic model for the unfolding of single molecules by mechanical force
• Distribution of work in isothermal non-equilibrium processes
• Reexamination of experimental tests of the fluctuation theorem
• Estimate of the free energy difference in mechanical systems from work fluctuations: experiments and models
• Dynamic Critical Behavior of a Swendsen-Wang-Type Algorithm for the Ashkin-Teller Model
• Work distribution and path integrals in general mean-field systems
• Work distribution functions for hysteresis loops in a single-spin system

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• Thermalization with a multibath: an investigation in simple models