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CATEGORIES:DAMTP Statistical Physics and Soft Matter Seminar
SUMMARY:Thermodynamics of Clocks - Patrick Pietzonka\, Max
Planck Institute for the Physics of Complex Syste
ms
DTSTART;TZID=Europe/London:20221115T130000
DTEND;TZID=Europe/London:20221115T140000
UID:TALK178559AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/178559
DESCRIPTION:I will briefly review the basic ideas behind the t
hermodynamic uncertainty relation (TUR). It establ
ishes a seemingly universal trade-off between cost
and precision for non-equilibrium systems in a st
eady state. Applied to clocks subject to thermal n
oise\, it states that the product of the energy us
ed for the driving and the squared relative uncert
ainty of the displayed time is always greater than
2kT. The TUR has been proven for models based on
Markov jump dynamics or overdamped Brownian motion
. It had also been conjectured to hold for underda
mped Brownian dynamics\, i.e.\, systems where iner
tial plays a role. This conjecture can now be disp
roven. I will present a counterexample that is ins
pired by a pendulum clock\, consisting of an under
damped oscillator and a discrete counter\, with th
ermal noise accounted for in both degrees of freed
om. As it turns out analytically\, this classic de
sign principle of a clock allows one to overcome t
he bounds on precision set by the TUR. Finally\, I
will also show numerically that the TUR can be br
oken in a fully continuous model with two underdam
ped degrees of freedom.\n\nThe talk is based on: P
hys. Rev. Lett. 128\, 130606 (2022)
LOCATION:Center for Mathematical Sciences\, Lecture room MR
4
CONTACT:Camille Scalliet
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