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SUMMARY:Deterministic chaos and diffusion in maps and billiard - Klages\, 
 R (Queen Mary University of London)
DTSTART:20131114T100000Z
DTEND:20131114T110000Z
UID:TALK48831@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:A fundamental problem of statistical mechanics and dynamical s
 ystems theory is to understand transport processes such as diffusion on th
 e basis of deterministic chaos. In my talk I will discuss this issue for d
 eterministic random walks in one and two dimensions generated by simple dy
 namical systems. For a class of piecewise linear maps lifted onto the whol
 e real line the parameter-dependent diffusion coefficient can be calculate
 d exactly analytically. It turns out that the response of these systems to
  parameter variations is non-trivial by displaying both linear and fractal
  parameter dependencies in the diffusion coefficient. Computer simulations
  predict analogous results for Hamiltonian particle billiards like the per
 iodic Lorentz gas. These results are supported by systematic approximation
 s based on a Taylor-Green-Kubo formula.\n[1] R.Klages\, N.Korabel\, Unders
 tanding deterministic diffusion by correlated random walks\,\nJ.Phys.A: Ma
 th. Gen.35\, 4823 (2002)\n[2] R.Klages\, Microscopic Chaos\, Fractals and 
 Transport in Nonequilibrium Statistical Mechanics (World Scientific\, Sing
 apore\, 2007)\n\n
LOCATION:Seminar Room 1\, Newton Institute
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