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SUMMARY:How does breaking detailed balance accelerate convergence to equil
 ibrium? - Robert Jack (University of Bath)
DTSTART:20170718T100000Z
DTEND:20170718T104000Z
UID:TALK73971@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>A number of recent results show that irreversible Markov
  chains (which lack detailed balance) tend to converge faster to their ste
 ady states\, compared to reversible ones (where detailed balance holds).&n
 bsp\; We analyse this convergence in terms of large deviations of time-ave
 raged quantities.&nbsp\; For interacting-particle systems which have hydro
 dynamic limits with diffusive behaviour\, we present a geometrical interpr
 etation of this acceleration\, on the hydrodynamic scale [1].&nbsp\; We al
 so discuss how this geometrical structure originates in the underlying (mi
 croscopic) Markov models.<br> <br> [1] M Kaiser\, RL Jack\, and J Zimmer\,
  "Acceleration of convergence to equilibrium in Markov chains by breaking 
 detailed balance"\, J. Stat. Phys.\, in press (2017).</span>  <br><br><br>
 <br>
LOCATION:Seminar Room 1\, Newton Institute
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