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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The thermostated dynamical systems approach to non
equilibrium steady states - Klages\, R (Queen Mary
University of London)
DTSTART;TZID=Europe/London:20131107T100000
DTEND;TZID=Europe/London:20131107T110000
UID:TALK48806AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/48806
DESCRIPTION:In this talk I will outline a theory that aims at
understanding the emergence of irreversible\nmacro
scopic transport starting from reversible microsco
pic dynamics. At the heart of this\napproach is to
suitably model the interaction of a subsystem wit
h a thermal reservoir. A simple example is a trace
r particle in a fluid exhibiting Brownian motion f
or which there is the well-known description in te
rms of stochastic Langevin dynamics. Three decades
ago scientists proposed a fully deterministic\, t
ime reversible modeling of thermalized motion by d
eriving a generalized Hamiltonian formalism yieldi
ng generalized friction coefficients in terms what
is called Gaussian and Nose-Hoover thermostats. S
urprisingly\, in nonequilibrium situations such as
\, e.g.\, under an external electric field\, this
time reversible dissipative dynamics generates fra
ctal attractors\, exhibits an identity between pha
se space contraction and entropy production\, and
furnishes formulas that express transport coeffici
ents in terms of Lyapunov exponents. In my talk I
will show how this class of dynamical systems is c
onstructed\, will review its basic dynamical syste
ms\nproperties\, and will critically discuss a con
jectured universality of these properties. I will
present a rather general summary of this approach\
, not much pre-knowledge about this particular fie
ld of research is required.\n[1] R.Klages\, Micros
copic Chaos\, Fractals and Transport in Nonequilib
rium Statistical Mechanics (World Scientific\, Sin
gapore\, 2007)\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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