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Title: Anomalous heat diffusion
Authors: Liu, S.
Hänggi, P. 
Li, N.
Ren, J.
Li, B. 
Issue Date: 28-Jan-2014
Citation: Liu, S., Hänggi, P., Li, N., Ren, J., Li, B. (2014-01-28). Anomalous heat diffusion. Physical Review Letters 112 (4) : -. ScholarBank@NUS Repository.
Abstract: Consider anomalous energy spread in solid phases, i.e., Δx2(t)≡∫(x-x)2ρE(x,t)dx tβ, as induced by a small initial excess energy perturbation distribution ρE(x,t=0) away from equilibrium. The second derivative of this variance of the nonequilibrium excess energy distribution is shown to rigorously obey the intriguing relation d2Δx2(t)/dt2=2CJJ(t)/(kBT2c), where CJJ(t) equals the thermal equilibrium total heat flux autocorrelation function and c is the specific volumetric heat capacity. Its integral assumes a time-local Helfand-like relation. Given that the averaged nonequilibrium heat flux is governed by an anomalous heat conductivity, the energy diffusion scaling determines a corresponding anomalous thermal conductivity scaling behavior. © 2014 American Physical Society.
Source Title: Physical Review Letters
ISSN: 00319007
DOI: 10.1103/PhysRevLett.112.040601
Appears in Collections:Staff Publications

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