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SUMMARY:Eliminating inertia of a stochastic microswimmer with constant spe
ed
DTSTART;VALUE=DATE-TIME:20170906T090000Z
DTEND;VALUE=DATE-TIME:20170906T093000Z
DTSTAMP;VALUE=DATE-TIME:20230207T085200Z
UID:indico-contribution-23@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Jörg Nötel (Department of Physics\, Humboldt-Unive
rsity at Berlin)\, Igor M. Sokolov (Department of Physics\, Humboldt-Unive
rsity at Berlin)\, Lutz Schimansky-Geier (Department of Physics\, Humboldt
-University at Berlin)\n\nAn often used model for an active entity is the
two dimensional stochastic microswimmer. It moves due to a propulsive mech
anism with constant speed and changes the direction due to deterministic
and random torques. Despite the simplicity\, the model it is not an overda
mped situation. Intertia is reflected by an initial ballistic behaviour. O
nly after an crossover time being the relaxation time of the orientational
directions the motion becomes normally diffusive characterized by a diffu
sion coefficient.\n\n$ $\n\nIn the report I discuss the properties and the
distribution of displacements of the stochastic microswimmer with constan
t speed. Various situations with several random torques like Gaussian wh
ite noise\, an Ornstein-Uhlenbeck process and alpha-stable noise will be
studied. Special attention is devoted to the adiabatic elimination of iner
tia in the model and the derivation of the overdamped limit. It results fo
r all types of random torques in a Gaussian simplification similar to a Br
ownian particle driven by white noise. Therein the noise intensity addres
ses the specific noise sources.\n\n$ $\n\nJ. Nötel\, I.M. Sokolov\, L. S
chimansky-Geier\, „Diffusion bof active particles with stochastic torque
s modeled as alpha-stable noise“\, Journal of Physics A: Mathematical
and Theoretical **50** (3)\, 034003 (2016).\n\nS. Milster\, J. Nötel\, I.
M. Sokolov\, L. Schimansky-Geier\, „Eliminating inertia in a stochastic
model of a microswimmer with constant speed“\, Eur. Phys. J. Special To
pics **226**\, 2039-2055 (2017).\n\nJ. Nötel\, I.M. Sokolov\, L. Schiman
sky-Geier\, „Gaussian appproximation of the stochastic microswimmer driv
en by alpha-stale noise\, submitted for publication.\n\nhttps://zakopane.i
f.uj.edu.pl/event/4/contributions/23/
LOCATION:Aula
RELATED-TO:indico-event-4@zakopane.if.uj.edu.pl
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/23/
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