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SUMMARY:From simple particle models to PDE dynamics - Zimmer\, J (Universi
 ty of Bath)
DTSTART:20131204T101500Z
DTEND:20131204T110000Z
UID:TALK49177@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:One often aims to describe systems out of equilibrium by the g
 overning energy E and entropy S\, as well as the corresponding evolution l
 aws for E and S. How can we derive these ingredients of the macroscopic ev
 olution from particle models? In recent years\, a dynamic scale-bridging a
 pproach has been developed and applied to a number of problems\; large dev
 iation theory plays an important role. The talk will present some of these
  results\, focussing on the derivation of the Wasserstein-entropy formulat
 ion of diffusion and the Vlasov-Fokker-Planck equation as a system driven 
 by energy and entropy. Time permitting\, an approach of deriving stochasti
 c equations mimicking the fluctuations in underlying mesoscopic models wil
 l be sketched.\n \nThis is joint work with Hong Duong\, Rob Jack and Mark.
  A. Peletier.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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