%0 Journal Article %1 castiglione:871 %A Castiglione, P. %A Cencini, M. %A Vulpiani, A. %A Zambianchi, E. %D 1999 %I AIP %J Chaos: An Interdisciplinary Journal of Nonlinear Science %K cencini chaos diffusion probability scattering tracers transport_processes %N 4 %P 871-879 %R 10.1063/1.166459 %T Transport in finite size systems: An exit time approach %U http://link.aip.org/link/?CHA/9/871/1 %V 9 %X n the framework of chaotic scattering we analyze passive tracer transport in finite systems. In particular, we study models with open streamlines and a finite number of recirculation zones. In the nontrivial case with a small number of recirculation zones a description by means of asymptotic quantities (such as the eddy diffusivity) is not appropriate. The nonasymptotic properties of dispersion are characterized by means of the exit time statistics, which shows strong sensitivity on initial conditions. This yields a probability distribution function with long tails, making impossible a characterization in terms of a unique typical exit time.

@article{castiglione:871, abstract = {n the framework of chaotic scattering we analyze passive tracer transport in finite systems. In particular, we study models with open streamlines and a finite number of recirculation zones. In the nontrivial case with a small number of recirculation zones a description by means of asymptotic quantities (such as the eddy diffusivity) is not appropriate. The nonasymptotic properties of dispersion are characterized by means of the exit time statistics, which shows strong sensitivity on initial conditions. This yields a probability distribution function with long tails, making impossible a characterization in terms of a unique typical exit time.}, added-at = {2007-10-05T01:31:43.000+0200}, author = {Castiglione, P. and Cencini, M. and Vulpiani, A. and Zambianchi, E.}, biburl = {https://www.bibsonomy.org/bibtex/221d63ed9b824bc92fddfdf188eae2570/mcencini}, description = {CHAOS Online}, doi = {10.1063/1.166459}, interhash = {541cc9e481d4e81dd6ea7604ee6b066b}, intrahash = {21d63ed9b824bc92fddfdf188eae2570}, journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science}, keywords = {cencini chaos diffusion probability scattering tracers transport_processes}, number = 4, pages = {871-879}, publisher = {AIP}, timestamp = {2007-10-05T01:31:43.000+0200}, title = {Transport in finite size systems: An exit time approach}, url = {http://link.aip.org/link/?CHA/9/871/1}, volume = 9, year = 1999 }