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Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems

seminar: Large deviations for a heat conduction model

speaker: Cedric Bernardin (Ecole Normale Supérieure, Lyon)

abstract: We consider a one-dimensionnal chain of harmonic oscillators perturbed by a conservative noise. This chain is in contact with two heat reservoirs at different temperature. This model satisfies Fourier's law and a linear profile of temperature is observed in the nonequilibrium stationary state. We derive the large deviation function for the probability of finding, in the stationary state, a profile different from the linear profile.


timetable:
Tue 6 Jun, 14:15 - 14:45, Aula Mancini
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