%0 Journal Article %1 boffetta:50 %A Boffetta, G. %A Celani, A. %A Cencini, M. %A Lacorata, G. %A Vulpiani, A. %D 2000 %I AIP %J Chaos: An Interdisciplinary Journal of Nonlinear Science %K Lyapunov_methods cencini chaos diffusion fsle mixing transport_processes turbulence %N 1 %P 50-60 %R 10.1063/1.166475 %T Nonasymptotic properties of transport and mixing %U http://link.aip.org/link/?CHA/10/50/1 %V 10 %X We study relative dispersion of passive scalar in nonideal cases, i.e., in situations in which asymptotic techniques cannot be applied; typically when the characteristic length scale of the Eulerian velocity field is not much smaller than the domain size. Of course, in such a situation usual asymptotic quantities (the diffusion coefficients) do not give any relevant information about the transport mechanisms. On the other hand, we shall show that the Finite Size Lyapunov Exponent, originally introduced for the predictability problem, appears to be rather powerful in approaching the nonasymptotic transport properties. This technique is applied in a series of numerical experiments in simple flows with chaotic behaviors, in experimental data analysis of drifter and to study relative dispersion in fully developed turbulence.

@article{boffetta:50, abstract = {We study relative dispersion of passive scalar in nonideal cases, i.e., in situations in which asymptotic techniques cannot be applied; typically when the characteristic length scale of the Eulerian velocity field is not much smaller than the domain size. Of course, in such a situation usual asymptotic quantities (the diffusion coefficients) do not give any relevant information about the transport mechanisms. On the other hand, we shall show that the Finite Size Lyapunov Exponent, originally introduced for the predictability problem, appears to be rather powerful in approaching the nonasymptotic transport properties. This technique is applied in a series of numerical experiments in simple flows with chaotic behaviors, in experimental data analysis of drifter and to study relative dispersion in fully developed turbulence.}, added-at = {2007-10-05T01:32:43.000+0200}, author = {Boffetta, G. and Celani, A. and Cencini, M. and Lacorata, G. and Vulpiani, A.}, biburl = {https://www.bibsonomy.org/bibtex/2bec346cc26b925a020518682873e42b3/mcencini}, description = {CHAOS Online}, doi = {10.1063/1.166475}, interhash = {b449048f0fb9710119d088828095bdf3}, intrahash = {bec346cc26b925a020518682873e42b3}, journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science}, keywords = {Lyapunov_methods cencini chaos diffusion fsle mixing transport_processes turbulence}, number = 1, pages = {50-60}, publisher = {AIP}, timestamp = {2007-10-05T01:32:43.000+0200}, title = {Nonasymptotic properties of transport and mixing}, url = {http://link.aip.org/link/?CHA/10/50/1}, volume = 10, year = 2000 }