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SUMMARY:Hot scatterers and tracers for the transfer of heat in collisional
  dynamics - Zambotti\, L (Paris 6)
DTSTART:20100107T113000Z
DTEND:20100107T123000Z
UID:TALK22186@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:(Joint work with Raphael Lefevere.)  We introduce stochastic m
 odels for the transport of heat in systems\ndescribed by local collisional
  dynamics.  The dynamics consists of tracer particles moving through an ar
 ray of hot scatterers describing the effect of heat baths at fixed tempera
 tures.  Those models have the structure of Markov renewal processes.  We s
 tudy their ergodic properties in details and provide a useful formula for 
 the cumulant generating function of the time integrated energy current. We
  observe that out of thermal equilibrium\, the generating function is not 
 analytic.  When the set of temperatures of the scatterers is fixed by the 
 condition that in average no energy is exchanged between the scatterers an
 d the system\, different behaviours may arise.  When the tracer particles 
 are allowed to travel freely through the whole array of scatterers\, the t
 emperature profile is linear.  If the particles are locked in between scat
 terers\, the temperature profile becomes nonlinear. In both cases\, the th
 ermal conductivity is interpreted as a frequency of collision between trac
 ers and scatterers.
LOCATION:Seminar Room 1\, Newton Institute
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