%0 Book Section %1 statphys23_0385 %A Presse, S. %A Silbey, R.J. %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 dynamics entropy generation nonequilibrium polymer relation statphys23 stochastic stretching topic-3 work %T Convergence Properties and Ordering of Limits in Jarzynski's Nonequilibrium Work Relation %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=385 %X We consider the convergence problems encountered in computing free energy differences using Jarzynski's nonequilibrium work relationPhys.Rev.Lett. 56, 2690(1997). This relation expresses the free energy change of a system, on which finite time work is done, as a sum over work cumulants. We study the scaling of these cumulants with an appropriately defined measure of phase space accessibility, x, and particle number, N, for model systems. It is shown that the work relation is in principle slowly convergent for entropic processes and that a correct ordering of the limits of x and N clarifies the regime of practical applicability of this equality. We also discuss a) the phenomenon of work distribution broadening arising from system-bath interaction and finite-system recurrences, b) when a stochastic treatment of the dynamics may be legitimately invoked and c)how information on the system-bath interaction may be extracted from work distributions. We conclude with a note on stretching floppy polymer systems.

@incollection{statphys23_0385, abstract = {We consider the convergence problems encountered in computing free energy differences using Jarzynski's nonequilibrium work relation[Phys.Rev.Lett. 56, 2690(1997)]. This relation expresses the free energy change of a system, on which finite time work is done, as a sum over work cumulants. We study the scaling of these cumulants with an appropriately defined measure of phase space accessibility, x, and particle number, N, for model systems. It is shown that the work relation is in principle slowly convergent for entropic processes and that a correct ordering of the limits of x and N clarifies the regime of practical applicability of this equality. We also discuss a) the phenomenon of work distribution broadening arising from system-bath interaction and finite-system recurrences, b) when a stochastic treatment of the dynamics may be legitimately invoked and c)how information on the system-bath interaction may be extracted from work distributions. We conclude with a note on stretching floppy polymer systems.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Presse, S. and Silbey, R.J.}, biburl = {https://www.bibsonomy.org/bibtex/213f1f4e75d642b9fecfd4fce83b20463/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {2d2638a8e369eff1014ce818c2f9cf2a}, intrahash = {13f1f4e75d642b9fecfd4fce83b20463}, keywords = {dynamics entropy generation nonequilibrium polymer relation statphys23 stochastic stretching topic-3 work}, month = {9-13 July}, timestamp = {2007-06-20T10:16:18.000+0200}, title = {Convergence Properties and Ordering of Limits in Jarzynski's Nonequilibrium Work Relation}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=385}, year = 2007 }