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SUMMARY:Nonequilibrium response\, relaxation and the t-mixing condition - 
 Rondoni\, L (Politecnico di Torino)
DTSTART:20131126T110000Z
DTEND:20131126T120000Z
UID:TALK49033@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Twenty years ago a relation was proposed by Evans\, Cohen and 
 Morriss\, which has been since known as Fluctuation Relation. This relatio
 n was initially intended to quantify the relative probability of positive 
 and negative energy dissipation rates in non-equilibrium steady states. La
 ter\, it developed in many steady state as well transient relations. The s
 earch for the minimal ingredients which allow such steady state fluctuatio
 n relations to hold led to the formulation of the t-mixing condition. This
  condition\, similarly to the standard mixing condition\, requires a certa
 in decay of correlations\, but different from that concerning standard mix
 ing. We illustrate how the notion of t-mixing arose in the context of fluc
 tuation relations\, and we compare it with standard mixing properties. Fur
 ther\, we note that besides yielding the fluctuation relations for dissipa
 tive\, time reversal invariant deterministic systems\, without need to exp
 licitly invoke special properties for the phase space invariant measures\,
  t-mixing leads to a number of other results. We will discuss\, in particu
 lar\, those concerning relaxation to equilibrium or non-equilibrium statio
 nary states and those concerning a general Green-Kubo-like response formul
 a\, which may be applied arbitrarily far from equilibrium to large as well
  as small systems (with correspondingly different meanings).\n
LOCATION:Seminar Room 1\, Newton Institute
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