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SUMMARY:Intermediate asymptotics and aging phenomena in anomalous transpor
t by flows.
DTSTART;VALUE=DATE-TIME:20170905T070000Z
DTEND;VALUE=DATE-TIME:20170905T073000Z
DTSTAMP;VALUE=DATE-TIME:20230206T083900Z
UID:indico-contribution-84@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Igor Sokolov (Humboldt University Berlin)\, Patrick
Poeschke (Humboldt University Berlin)\, Alexander Nepomnyashchy (Technion
Haifa)\, Michael Zaks (Humboldt University Berlin)\n\nAnomalous transport
in flows is often invoked in discussion of anomalous transport phenomena a
s described by continuous-time random walk (CTRW) or Levy walk (LW) scheme
s. The first model describes the particles' transport in eddy lattices\, a
nd the model of a Levy walk interrupted by rests describes the transport i
n flows which consist of eddies and jets. The models adequately describe t
he intermediate-time dynamics of the mean squared displacement (MSD) of t
he transported particles from their initial positions under initial condit
ions corresponding starting on the separatrix between two eddies or betwee
n an eddy and a jet\, and the long-time dynamics for any initial condition
\, when the initial conditions are already forgotten.\n\n$ $\n\nBoth rando
m walk models lead to non-stationary dynamics on intermediate times\, and
exhibit aging phenomena. It is sometimes assumed that the corresponding mo
dels also can describe aging in flows. The aging phenomena in random walk
schemes are connected with the walker's behavior during the very first ste
p after the beginning of the observation\, and assume that this dynamics i
s trivial (being at rest in CTRW\, or either being at rest or moving along
straight line in the interrupted LW) while the dynamics during the captur
ing periods in a flow is essentially quite complex and corresponds to rota
tions around elliptic points of eddies or oscillations in jets. \n\n$ $\n\
nWe concentrate on the MSD of the transported particles from their initial
positions\, and discuss in detail the aging dynamics of MSD in flows. We
show that the time-evolution of the MSD depends strongly on initial condit
ions\, that simple CTRW / LW-dynamics only describes the intermediate-time
behavior of the initial conditions discussed above\, and that several oth
er regimes\n(including superdiffusion or oscillations) are possible. Even
in the case when simplified models correctly describe the intermediate tim
e behavior of MSD when starting on the separatrix\, they fail to describe
the aging behavior of the MSD even in this case. We give the theoretical d
iscussion of all theses issues\, and illustrate our points by results of m
assive numerical simulations of the system.\n\nhttps://zakopane.if.uj.edu.
pl/event/4/contributions/84/
LOCATION:Aula
RELATED-TO:indico-event-4@zakopane.if.uj.edu.pl
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/84/
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