HARMONIC SYSTEMS WITH BULK NOISES

Cedric Bernardin (1) , Venkateshan Kannan (2) , Joel L. Lebowitz (2) , Jani Lukkarinen (3)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 Center for Mathematical Sciences Research
3 Department of Mathematics and Statistics

We consider a harmonic chain in contact with thermal reservoirs at different temperatures and subject to bulk noises of different types: velocity flips or self-consistent reservoirs. While both systems have the same covariances in the nonequilibrium stationary state (NESS) the measures are very different. We study hydrodynamical scaling, large deviations, fluctuations, and long range correlations in both systems. Some of our results extend to higher dimensions.

Mots clés: hydordynamics; Non-equilibrium systems; stationary states; long-range corre- lations; fluctuations; hydordynamics.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Probabilités [math.PR]

Cedric Bernardin, Venkateshan Kannan, Joel L. Lebowitz, Jani Lukkarinen. HARMONIC SYSTEMS WITH BULK NOISES. Journal of Statistical Physics, 2012, 146 (4), pp.31. ⟨ensl-00635335v2⟩