Please use this identifier to cite or link to this item:
|Title:||Anomalous heat conduction and anomalous diffusion in nonlinear lattices, single walled nanotubes, and billiard gas channels|
|Authors:||Li, B. |
|Source:||Li, B., Wang, J., Wang, L., Zhang, G. (2005). Anomalous heat conduction and anomalous diffusion in nonlinear lattices, single walled nanotubes, and billiard gas channels. Chaos 15 (1) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.1832791|
|Abstract:||We study anomalous heat conduction and anomalous diffusion in low-dimensional systems ranging from nonlinear lattices, single walled carbon nanotubes, to billiard gas channels. We find that in all discussed systems, the anomalous heat conductivity can be connected with the anomalous diffusion, namely, if energy diffusion is o 2(t)=2Dt α (0 < α ≤ 2), then the thermal conductivity can be expressed in terms of the system size L as K=cL β with β=2-2/α. This result predicts that a normal diffusion (a=l) implies a normal heat conduction obeying the Fourier law (β=0), a superdiffusion (α > 1) implies an anomalous heat conduction with a divergent thermal conductivity (β>0), and more interestingly, a subdiffusion (α < 1) implies an anomalous heat conduction with a convergent thermal conductivity (β < 0), consequently, the system is a thermal insulator in the thermodynamic limit. Existing numerical data support our theoretical prediction. © 2005 American Institute of Physics.|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 15, 2018
WEB OF SCIENCETM
checked on Jan 31, 2018
checked on Feb 19, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.