Energy Diffusion in Harmonic System with Conservative Noise

Published 29 Jun 2013 in math-ph, cond-mat.stat-mech, math.MP, and math.PR | (1307.0094v1)

Abstract: We prove diffusive behaviour of the energy fluctuations in a system of harmonic oscillators with a stochastic perturbation of the dynamics that conserves energy and momentum. The results concern pinned systems or lattice dimension $d\ge 3$, where the thermal diffusivity is finite.

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