@statphys23

Non-Equilibrium Work Theorems for the Two-Dimensional Ising Model

, , and . Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

The distribution functions of the work performed on a two dimensional Ising model under the influence of an external magnetic field which is switched on and off are studied. These distributions are calculated by means of Monte Carlo simulations for temperatures below and above, as well as close to the critical temperature, $T_c$, and for different rates of the switching processes. For this system the Jarzynski and the Crooks Fluctuation Theorems are verified. It is found that Crooks Fluctuation Theorem provides a faster method to evaluate free energy differences in this system with respect to the Jarzynski equality. As expected, for temperatures far from $T_c$ the convergence of the results is faster than for $T T_c$, where a slower switching rate is needed. Results obtained from the theorems of Crooks and Jarzynski are compared with thermodynamic integration calculations and it is find that they agree very well within error bars.

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