SP Seminar @ICTP Stasi Rm, Tuesday 28 November at 12:00 - A.VEZZANI

[CM Section]

Joint ICTP/SISSA Statistical Physics Seminar

*PLEASE NOTE UNUSUAL TIME - 12:00!!*

Tuesday 28 November at 12:00 hrs.
ICTP, Stasi Seminar Room, first floor Leonardo building
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Speaker: Alessandro VEZZANI (CNR-IMEM Parma)

Title: Single Big Jump and Probability Condensation in Correlated
Random Walks: The Case of Levy Lorentz Gas

Abstract:
In Levy flights and Levy walks, large deviations play a crucial role in 
determining the superdiffusive character of the motion. Indeed, for 
identically distributed random variables with fat tails, the importance 
of rare events has been evidenced in the context of Single big jump 
principle [1] or in physical literature in terms of probability 
condensation [2]. In Levy walks far tails of the distribution have been 
described in details in [3] within the theory of infinite densities, 
here we will show that the same results can be obtained considering an 
approach based on the single big jump principle. Levy flights and walks 
are typical examples of uncorrelated renewal processes, physical systems 
however are usually characterized by correlations. In the field of Levy 
walks, a typical example is given by the Levy Lorentz gas model [4] 
which describes the motion in a Levy correlated random environment. 
Here, the superdiffusive properties are crucially determined by 
topological correlations [5].
I will show that a generalization of the Single big jump principle, 
which takes into account of the correlation, can be applied to the Levy 
Lorentz gas. Also in this case, far tails are are analytically described 
in terms of an infinite density.
Finally, I will discuss the application of the single, long jump to 
different models: a model for the Sysufus cooling in cold atoms and a 
model of Levy walks with memory. These results evidence that the single 
long jump principle is a very effective tools which can be applied in a 
wide class of models.

[1] S. Foss, D. Korshunov and S. Zachary: "An introduction to heavy 
tailed and supexponential distributions", Springer (2013)
[2] S. N. Majumdar, M. R. Evans and R. K. P. Zia, Phys. Rev. Lett. 94 
180601 (2005) [3] A. Rebenshtok, S. Denisov, P. Hanggi and E. Barkai, 
Phys. Rev. Lett. 112, 110601 (2014)
[4] E. Barkai, V. Fleurov, J. Klafter, Phys. Rev. E 61, 1164 (2000) [5] 
R. Burioni, L. Caniparoli and A. Vezzani, Phys. Rev. E 81, 060101(R) (2010)