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|Title:||Anomalous heat diffusion|
|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. https://doi.org/10.1103/PhysRevLett.112.040601|
|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|
|Appears in Collections:||Staff Publications|
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