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Energy Diffusion in Harmonic System with Conservative Noise

arXiv:1307.0094 · doi:10.1007/s10955-013-0908-4

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.