Anomalous energy diffusion and heat conduction in one-dimensional system

doi:10.1088/1674-1056/19/5/054401

Abstract We propose a new concept, the centre of energy, to study energy diffusion and heat conduction in one-dimensional hard-point model. For diatom model, we find an anomalous energy diffusion as $\langle x^2 \rangle\sim t^\beta$ with $\beta=1.33$, which is independent of initial condition and mass rate. The present model can be viewed as the model composed by independent quasi-particles, the centre of energy. In this way, heat current can be calculated. Based on theory of dynamic billiard, the divergent exponent of heat conductivity is estimated to be $\alpha=0.33$, which is confirmed by a simple numerical calculation.

Keywords: energy diffusion heat conduction one-dimensional hard-point model

Received: 30 July 2009
Revised: 26 September 2009
Accepted manuscript online:

PACS:	44.10.+i	(Heat conduction)
	05.60.-k	(Transport processes)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10605020), and the Natural Science Foundation of Zhejiang Province of China (Grant No.~Y605376.)

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Li Hai-Bin(李海彬) and Li Zhen(李珍) Anomalous energy diffusion and heat conduction in one-dimensional system 2010 Chin. Phys. B 19 054401

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