%0 Book Section %1 statphys23_0224 %A Heinsalu, E. %A Patriarca, M. %A Goychuk, I. %A Hanggi, P. %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 anomalous continuous diffusion equation fokker-planck fractional random statphys23 time topic-3 walk %T Anomalously slow processes in alternating force-fields %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=224 %X We discuss the fractional Fokker-Planck dynamics and the underlying continuous time random walk in time-varying potential landscapes. We disclose the failure of the widely used fractional Fokker-Planck equation (FFPE) when generalized ad hoc to time-dependent forces. A generalized FFPE is presented, valid for a family of alternating force-fields. It is tested for a rectangular time-dependent force. As an interesting result, for such a force with zero average bias, subdiffusion is shown to become enhanced compared with the force free case 1. 1) E. Heinsalu, M. Patriarca, I. Goychuk, and P. Hanggi, Use and Abuse of a Fractional Fokker-Planck Dynamics for Time-Dependent Driving, arxiv:cond-mat/0703420

@incollection{statphys23_0224, abstract = {We discuss the fractional Fokker-Planck dynamics and the underlying continuous time random walk in time-varying potential landscapes. We disclose the failure of the widely used fractional Fokker-Planck equation (FFPE) when generalized ad hoc to time-dependent forces. A generalized FFPE is presented, valid for a family of alternating force-fields. It is tested for a rectangular time-dependent force. As an interesting result, for such a force with zero average bias, subdiffusion is shown to become enhanced compared with the force free case [1]. 1) E. Heinsalu, M. Patriarca, I. Goychuk, and P. Hanggi, {\it Use and Abuse of a Fractional Fokker-Planck Dynamics for Time-Dependent Driving}, arxiv:cond-mat/0703420}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Heinsalu, E. and Patriarca, M. and Goychuk, I. and Hanggi, P.}, biburl = {https://www.bibsonomy.org/bibtex/2f0c8fdb5f7b6763214cd79cbcbc28b1d/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {c6ffb7ed287c3f559c6586f9e45b6ec7}, intrahash = {f0c8fdb5f7b6763214cd79cbcbc28b1d}, keywords = {anomalous continuous diffusion equation fokker-planck fractional random statphys23 time topic-3 walk}, month = {9-13 July}, timestamp = {2007-06-20T10:16:14.000+0200}, title = {Anomalously slow processes in alternating force-fields}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=224}, year = 2007 }