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SUMMARY:How to Measure Large Deviation Functions of Dynamical Quantities -
  Takahiro Nemoto\, University of Paris Diderot
DTSTART:20180605T120000Z
DTEND:20180605T130000Z
UID:TALK104665@talks.cam.ac.uk
CONTACT:Professor Mike Cates
DESCRIPTION:Large deviation functions of non-equilibrium accumulative/inte
 grated quantities have been intensively studied in the last decade in ther
 mally fluctuated particles (e.g.\, Brownian particles\, biological motors\
 , Granular particles) as well as in exactly solvable lattice gas models (e
 .g.\, ASEP\, KPZ\, KCMs). Although large deviations show many interesting 
 physics\, studying them is difficult\, as rare fluctuations showing these 
 large deviations are hardly observed. In this seminar\, I will explain an 
 algorithm to accelerate the observation of these rare events in numerical 
 simulations. The algorithm uses an idea of population dynamics/diffusion q
 uantum Monte-Carlo method [1]: an ensemble of the copies of the system is 
 simulated\, where the dynamics of the ensemble include a selection-mutatio
 n process\, namely\, rare copies are multiplied (have descendants) but typ
 ical ones are killed (become extinct). I will also review our recent works
  that focus on the fundamental aspects of the algorithm (convergence prope
 rty [2] and an improvement to the algorithm by introducing a control force
  [3]) as well as on the application of the algorithm to active matter [4].
  \n\n[1] Cristian Giardinà\, Jorge Kurchan and Luca Peliti\, Phys. Rev. L
 ett. 96\, 120603 (2006).\n[2] T.N.\, Esteban Guevara and Vivien Lecomte\, 
 PRE 95\,012102(2017) and E.G.\, T.N. and V.L. PRE 95\,062134 (2017).\n[3] 
 T.N.\, Freddy Bouchet\, Robert L. Jack and V.L.\,PRE 93\,062123(2016) and 
 T.N.\, R.L.J. and V.L.\, PRL 118\,115702(2017).  \n[4] T.N.\, Michael E. C
 ates\, Étienne Fodor\, R.L.J. and Julien Tailleur in preparation.\n\n
LOCATION:MR11\, CMS
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