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Communication Dans Un Congrès Année : 2010

Heat equation from microscopic dynamics: a weak coupling approach

Résumé

We consider the dynamics of weakly coupled anharmonic oscillators, perturbed by a energy conserving noise. The noise considered exchange independently the components of the momentum of each oscillator. We prove that in the weak-coupling/long time limit energies of oscillators evolve following stochastic autonomous system of equations. Under a further diffusive space-time scaling of this system, the energy evolves following a non-linear heat equation.
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Dates et versions

hal-00701620 , version 1 (16-01-2015)

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Liverani Carlangelo, Stefano Olla. Heat equation from microscopic dynamics: a weak coupling approach. ICMP'09 : XVIth International Congress on Mathematical Physics, Aug 2009, Prague, Czech Republic. pp.397-400, ⟨10.1142/9789814304634_0029⟩. ⟨hal-00701620⟩
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