Sha Liu, Nianbei Li, Jie Ren, Baowen Li
We derive analytically a dynamical equality relating the mean square displacement of energy diffusion near equilibrium to the autocorrelation function of total heat flux fluctuation in equilibrium. This relation is a direct consequence of the microscopic energy conservation law. We numerically verify the dynamical equality for typical nonlinear lattice systems, and also show some special consequences of this dynamical equality, in particular, the connection between anomalous heat conduction and anomalous energy diffusion without a priori assumption for the underlying diffusion processes.
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http://arxiv.org/abs/1103.2835
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