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SUMMARY:The thermostated dynamical systems approach to nonequilibrium stea
 dy states - Klages\, R (Queen Mary University of London)
DTSTART:20131107T100000Z
DTEND:20131107T110000Z
UID:TALK48806@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In this talk I will outline a theory that aims at understandin
 g the emergence of irreversible\nmacroscopic transport starting from rever
 sible microscopic dynamics. At the heart of this\napproach is to suitably 
 model the interaction of a subsystem with a thermal reservoir. A simple ex
 ample is a tracer particle in a fluid exhibiting Brownian motion for which
  there is the well-known description in terms of stochastic Langevin dynam
 ics. Three decades ago scientists proposed a fully deterministic\, time re
 versible modeling of thermalized motion by deriving a generalized Hamilton
 ian formalism yielding generalized friction coefficients in terms what is 
 called Gaussian and Nose-Hoover thermostats. Surprisingly\, in nonequilibr
 ium situations such as\, e.g.\, under an external electric field\, this ti
 me reversible dissipative dynamics generates fractal attractors\, exhibits
  an identity between phase space contraction and entropy production\, and 
 furnishes formulas that express transport coefficients in terms of Lyapuno
 v exponents. In my talk I will show how this class of dynamical systems is
  constructed\, will review its basic dynamical systems\nproperties\, and w
 ill critically discuss a conjectured universality of these properties. I w
 ill present a rather general summary of this approach\, not much pre-knowl
 edge about this particular field of research is required.\n[1] R.Klages\, 
 Microscopic Chaos\, Fractals and Transport in Nonequilibrium Statistical M
 echanics (World Scientific\, Singapore\, 2007)\n
LOCATION:Seminar Room 1\, Newton Institute
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