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UID:1-164@lptms.universite-paris-saclay.fr
DTSTART:20130910T110000Z
DTEND:20130910T120000Z
DTSTAMP:20130901T063702Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-antonio-prados/
SUMMARY:Séminaire du LPTMS: Antonio Prados - LPTMS\, salle 201\, 2ème ét
 age\, Bât 100\, Campus d'Orsay - 10 Sep 13 11:00
DESCRIPTION:A general class of dissipative models: fluctuating hydrodynamic
 s and large deviations\nA. Prados\, Universidad de Sevilla\nWe consider a 
 general class of models\, described at the mesoscopic level by a fluctuati
 ng balance equation for the local energy density. This balance equation ha
 s a diffusive term\, with a current that fluctuates around its average be
 haviour given by Fourier's law\, and a dissipation term which is a general
  function of the local energy density. The latter does not include a fluct
 uating term\, as the dissipation fluctuations are enslaved to those of the
  density due to the (assumed) quasi-elasticity of the underlying microscop
 ic dynamics. This quasi-elasticity of the microscopic dynamics is compatib
 le with the existence of a finite dissipation over the diffusive time sc
 ale which is relevant at the mesoscopic level.This general fluctuating hyd
 rodynamic picture [1]\, together with an "additivity conjecture" [2]\, mak
 es it possible to write the functional giving the probability of large dev
 iations of the dissipated energy from the average behaviour. The functiona
 l has the same form as in the non-dissipative case\, due to the subdominan
 t role played by the dissipation noise. The above hydrodynamic description
  is shown to emerge from a general class of models\, with stochastic dissi
 pative dynamics at the microscopic level\, in the large system size limit.
  Both the average macroscopic behaviour and the noise properties of the hy
 drodynamic fields are obtained from the microscopic dynamics. Finally\, t
 his general scheme is applied to the simplest dissipative version of the s
 o-called KMP model [3] for heat transport. The theoretical predictions are
  compared to extensive numerical simulations\, and an excellent agreement 
 is found [4-6].\n1. L. Bertini\, A. De Sole\, D. Gabrielli\, G. Jona-Lasin
 io and C. Landim\, Phys. Rev. Lett. 87\, 040601 (2001)\; Phys. Rev. Lett. 
 94\, 030601 (2005)\; J. Stat. Mech. P07014 (2007)\; J. Stat. Phys. 135\, 8
 57 (2009).2. T. Bodineau and B. Derrida\, Phys. Rev. Lett. 92\, 180601 (20
 04).3. C. Kipnis\, C. Marchioro and E. Presutti\, J. Stat. Phys. 27\, 65 (
 1982).4. A. Prados\, A. Lasanta and P. I. Hurtado\, Phys. Rev. Lett. 107\,
  140601 (2011).5. A. Prados\, A. Lasanta and P. I. Hurtado\, Phys. Rev. E 
 86\, 031134 (2012).6. P. I. Hurtado\, A. Lasanta\, and A. Prados\, Phys. R
 ev. E 88\, 022110 (2013).
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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