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SUMMARY:Energetics of critical oscillators in active bacterial baths
DTSTART;VALUE=DATE-TIME:20201203T170700Z
DTEND;VALUE=DATE-TIME:20201203T170800Z
DTSTAMP;VALUE=DATE-TIME:20230207T213900Z
UID:indico-contribution-373@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Edgar Roldan (Max Planck Institute for the Physics o
f Complex Systems)\, Ashwin Gopal (University of Luxembourg)\, Stefano Ruf
fo (SISSA)\n\nWe investigate the nonequilibrium energetics near a critical
point of a non-linear driven oscillator immersed in an active bacterial
bath. At the critical point\, we reveal a scaling exponent of the average
power $\\langle\\dot{W}\\rangle\\sim (D_{\\rm a}/\\tau)^{1/4}$ where $D_{
\\rm a}$ is the effective diffusivity and $\\tau$ the correlation time of
the bacterial bath described by Gaussian colored noise. Other features th
at we investigate are the average stationary power and the variance of the
work both below and above the saddle-node bifurcation. Above the bifurca
tion\, the average power attains an optimal\, minimum value for finite $\
\tau$ that is below its zero-temperature limit. Furthermore\, we reveal a
finite-time uncertainty relation for active matter\, which leads to values
of the Fano factor of the work that can be below $2k_{\\rm B}T_{\\rm eff
}$\, with $T_{\\rm eff}$ the effective temperature of the oscillator in th
e bacterial bath. We analyze different Markovian approximations to describ
e the nonequilibrium stationary state of the system. Finally\, we illustra
te our results in the experimental context by considering the example of d
riven colloidal particles in periodic optical potentials within a E. Coli
bacterial bath.\n\nhttps://zakopane.if.uj.edu.pl/event/16/contributions/37
3/
RELATED-TO:indico-event-16@zakopane.if.uj.edu.pl
URL:https://zakopane.if.uj.edu.pl/event/16/contributions/373/
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