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SUMMARY:Large deviations and optimal control forces for hard particles in 
 one dimension - Jakub Dolezal\, DAMTP
DTSTART:20190430T120000Z
DTEND:20190430T130000Z
UID:TALK123796@talks.cam.ac.uk
CONTACT:Etienne Fodor
DESCRIPTION:We analyse large deviations of the dynamical activity in one-d
 imensional systems of diffusing hard particles. Using an optimal-control r
 epresentation of the large-deviation problem\, we analyse effective intera
 ction forces which can be added to the system\, to aid sampling of biased 
 ensembles of trajectories. We find several distinct regimes\, as a functio
 n of the activity and the system size and analytically obtain approximate 
 guiding forces for some of them. For high activity the system is hyperunif
 orm and the interactions are long-ranged and repulsive. For low activity\,
  there is a near-equilibrium regime described by macroscopic fluctuation t
 heory\, characterised by long-ranged attractive forces. There is also a fa
 r-from-equilibrium regime in which one of the interparticle gaps becomes m
 acroscopic and the interactions depend strongly on the size of this gap. W
 e discuss the extent to which transition path sampling of these ensembles 
 is improved by adding suitable control forces.
LOCATION:MR11\, CMS
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