Conveners
Session 12: Panel B
- Aleksei Chechkin (Institute for Physics and Astronomy, University of Potsdam)
Martin Bier
(East Carolina University)
9/8/17, 9:00 AM
oral
Nonequilibrium systems commonly exhibit Levy noise. This means that the distribution for the size of the Brownian fluctuations has a "fat" power tail. Large Brownian kicks are then more common as compared to the ordinary Gaussian distribution that is associated with equilibria.
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We consider a two-state system, i.e. two wells and in between a barrier that is sufficiently high for a...
Gianni Pagnini
(BCAM - Basque Center for Applied Mathematics, Bilbao, Basque Country - Spain)
9/8/17, 9:20 AM
oral
Fractional kinetics is derived from Gaussian processes when the medium where the diffusion takes place is characterized by a population of length-scales [1]. This approach is analogous to the generalized grey Brownian motion [2], and it can be used for modelling anomalous diffusion in complex media. In particular, the resulting stochastic process can show sub-diffusion, ergodicity breaking, p...
Andrea Cairoli
(Imperial College London)
9/8/17, 9:35 AM
oral
The motion of a tracer particle in a complex medium typically exhibits anomalous diffusive patterns, characterised, e.g, by a non-liner mean-squared displacement and/or non-Gaussian statistics.
Modelling such fluctuating dynamics is in general a challenging task, that provides, despite all, a fundamental tool to probe the rheological properties of the environment.
A prominent example is...
Lukasz Kusmierz
(RIKEN Brain Science Institute)
9/8/17, 9:50 AM
oral
Most living organisms perform two different types of search: a directed search (taxis) and a random
search. The former is observed when the environment provides cues to guide the motion towards targets,
whereas the latter may not involve any memory and information processing and can be modeled by ran-
dom walks. There is a large body of experimental results showing that the random walk...
Katarzyna Gorska
(Institute of Nuclear Physics, Polish Academy of Sciences)
9/8/17, 10:05 AM
oral
I will present the results for fractional equations of Fokker-Planck type using evolution operator method. I will employ exact forms of one-sided Levy stable distributions to generate a set of self-reproducing solutions. Explicit cases are reported and studied for various fractional order of derivatives, different initial conditions, and for different versions of Fokker-Planck operators.
