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SUMMARY:Thermodynamics of Clocks - Patrick Pietzonka\, Max Planck Institut
 e for the Physics of Complex Systems
DTSTART:20221115T130000Z
DTEND:20221115T140000Z
UID:TALK178559@talks.cam.ac.uk
CONTACT:Camille Scalliet
DESCRIPTION:I will briefly review the basic ideas behind the thermodynamic
  uncertainty relation (TUR). It establishes a seemingly universal trade-of
 f between cost and precision for non-equilibrium systems in a steady state
 . Applied to clocks subject to thermal noise\, it states that the product 
 of the energy used for the driving and the squared relative uncertainty of
  the displayed time is always greater than 2kT. The TUR has been proven fo
 r models based on Markov jump dynamics or overdamped Brownian motion. It h
 ad also been conjectured to hold for underdamped Brownian dynamics\, i.e.\
 , systems where inertial plays a role. This conjecture can now be disprove
 n. I will present a counterexample that is inspired by a pendulum clock\, 
 consisting of an underdamped oscillator and a discrete counter\, with ther
 mal noise accounted for in both degrees of freedom. As it turns out analyt
 ically\, this classic design principle of a clock allows one to overcome t
 he bounds on precision set by the TUR. Finally\, I will also show numerica
 lly that the TUR can be broken in a fully continuous model with two underd
 amped degrees of freedom.\n\nThe talk is based on: Phys. Rev. Lett. 128\, 
 130606 (2022)
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
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