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SUMMARY:Unified thermodynamic uncertainty relations in linear response  - 
 Katarzyna  Macieszczak\, Cavendish Lab
DTSTART:20181023T120000Z
DTEND:20181023T130000Z
UID:TALK109588@talks.cam.ac.uk
CONTACT:Professor Mike Cates
DESCRIPTION:Thermodynamic uncertainty relations (TURs) are recently establ
 ished relations between the relative uncertainty of time-integrated curren
 ts and entropy production in non-equilibrium systems. For small perturbati
 ons away from equilibrium\, linear response (LR) theory provides the natur
 al framework to study generic non-equilibrium processes. Here we use LR to
  derive TURs in a straightforward and unified way. Our approach allows us 
 to generalize TURs to systems without local time-reversal symmetry\, inclu
 ding for example ballistic transport\, and periodically driven classical a
 nd quantum systems. We find that for broken time-reversal\, the bounds on 
 the relative uncertainty are controlled both by dissipation and by a param
 eter encoding the asymmetry of the Onsager matrix. We illustrate our resul
 ts with an example from mesoscopic physics. We also extend our approach be
 yond linear response: for Markovian dynamics it reveals a connection betwe
 en the TUR and current fluctuation theorems.\n\narxiv:1803.01904 (accepted
  by Phys. Rev. Lett.)\n
LOCATION:MR11\, CMS
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