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SUMMARY:Mimicking heterogeneous diffusion with time dependent random diffu
sivity.
DTSTART;VALUE=DATE-TIME:20190919T100000Z
DTEND;VALUE=DATE-TIME:20190919T102000Z
DTSTAMP;VALUE=DATE-TIME:20201127T032004Z
UID:indico-contribution-334@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Vittoria Sposini (University of Potsdam (Germany) &
BCAM (Spain))\nA considerable number of systems have recently been report
ed in which Brownian yet non-Gaussian dynamics was observed. These are pro
cesses characterised by a linear growth in time of the mean squared displa
cement\, yet the probability density function of the particle displacement
is distinctly non-Gaussian\, and often of exponential (Laplace) shape. Th
is behaviour has been interpreted as resulting from diffusion in inhomogen
eous environments and mathematically represented through a variable\, stoc
hastic diffusion coefficient. Indeed different models describing a fluctua
ting diffusivity have been studied. In particular\, we focus on the theory
of diffusing diffusivity and consider the very generic class of the gener
alised Gamma distribution for the random diffusion coefficient. Moreover\,
addressing the first passage problem for a specific diffusing diffusivity
model\, we emphasize that even when the non-Gaussian character appears fo
r certain regimes only and in the tails of the distributions (thus with lo
w probability)\, it may be essential for those systems in which rare event
s dominate triggered actions.\n\nhttps://zakopane.if.uj.edu.pl/event/9/con
tributions/334/
LOCATION:Kraków
URL:https://zakopane.if.uj.edu.pl/event/9/contributions/334/
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