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https://doi.org/10.1103/PhysRevLett.112.040601
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. 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/95800 | ISSN: | 00319007 | DOI: | 10.1103/PhysRevLett.112.040601 |
Appears in Collections: | Staff Publications |
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