%0 Book Section %1 statphys23_0687 %A H\'ijar, H. %A Quintana, J. %A Sutmann, G. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K crooks fluctuation jarzynski montecarlo non-equilibrium processes simulations statphys23 theorem topic-3 %T Non-Equilibrium Work Theorems for the Two-Dimensional Ising Model %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=687 %X 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.

@incollection{statphys23_0687, 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 $T \simeq T_{c}$, 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.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {H\'{\i}jar, H. and Quintana, J. and Sutmann, G.}, biburl = {https://www.bibsonomy.org/bibtex/28dba623d1f52fd85157ba7c3518cacf0/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {6b8cf7f48a50a6e0e78abd57bd20957d}, intrahash = {8dba623d1f52fd85157ba7c3518cacf0}, keywords = {crooks fluctuation jarzynski montecarlo non-equilibrium processes simulations statphys23 theorem topic-3}, month = {9-13 July}, timestamp = {2007-06-20T10:16:27.000+0200}, title = {Non-Equilibrium Work Theorems for the Two-Dimensional Ising Model}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=687}, year = 2007 }