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SUMMARY:Quantitative Rates of Convergence to Non-Equilibrium Steady States
  for the Chain of Oscillators - Angeliki Menegaki\, University of Cambridg
 e
DTSTART:20191113T160000Z
DTEND:20191113T170000Z
UID:TALK134851@talks.cam.ac.uk
CONTACT:Jan Bohr
DESCRIPTION:*Abstract:* A long-standing issue in the study of out-of-equil
 ibrium systems in statistical mechanics is the validity of Fourier's law. 
 In this talk we will present a model introduced for this purpose\, i.e. to
  describe properly heat diffusion. It consists of a $1$-dimensional chain 
 of $N$ oscillators coupled at its ends to heat baths at different temperat
 ures.\nHere\, working with a weakly anharmonic chain\, we will show how it
  is possible to prove exponential convergence to\nthe non-equilibrium stea
 dy state (NESS) in Wasserstein-2 distance and in Relative Entropy. The met
 hod we follow is a generalised version of the theory of $\\Gamma$ calculus
  thanks to Bakry-Emery. It has the advantage to give quantitative results\
 , thus we will discuss how the convergence rates depend on the number of t
 he particles $N$.
LOCATION:MR14\, Centre for Mathematical Sciences
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