Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.1832791
Title: Anomalous heat conduction and anomalous diffusion in nonlinear lattices, single walled nanotubes, and billiard gas channels
Authors: Li, B. 
Wang, J. 
Wang, L. 
Zhang, G. 
Issue Date: 2005
Citation: 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.
Source Title: Chaos
URI: http://scholarbank.nus.edu.sg/handle/10635/116229
ISSN: 10541500
DOI: 10.1063/1.1832791
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