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SUMMARY:Quantifying Hidden Order Out of Equilibrium - Stefano Martiniani\,
  New York University
DTSTART:20180501T120000Z
DTEND:20180501T130000Z
UID:TALK104659@talks.cam.ac.uk
CONTACT:Professor Mike Cates
DESCRIPTION:While the equilibrium properties\, states\, and phase transiti
 ons of interacting systems are well described by statistical mechanics\, t
 he lack of suitable state parameters has hindered the understanding of non
  equilibrium phenomena in diverse settings\, from glasses to driven system
 s to biology. Source coding consists of generating a description of a sequ
 ence shorter than its original representation\, ideally reducing its size 
 to its information content: the more ordered a sequence is\, the lower its
  information content and the shorter its encoding. Here\, we describe how 
 source coding enables the quantification of order in non-equilibrium and e
 quilibrium many-body systems\, both discrete and continuous\, even when th
 e underlying form of order is unknown. We consider absorbing state models\
 , such as Manna\, Conserved Lattice Gas and a continuum model of Random Or
 ganization\, as well as a system of Brownian active particles undergoing m
 otility-induced phase separation. Using a universal lossless data compress
 ion algorithm to analyse the configurations of this broad class of systems
 \, we show how our approach can reliably identify non-equilibrium phase tr
 ansitions\, determine their character\, and quantitatively predict certain
  critical exponents\, without any knowledge of the relevant order paramete
 rs. This approach thus provides a new and essential way of quantifying ord
 er in systems ranging from condensed matter systems\, to cosmology and bio
 logy.
LOCATION:MR11\, CMS
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