Anomalous energy diffusion and heat conduction in one-dimensional system

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

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 54401-054401.doi: 10.1088/1674-1056/19/5/054401

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇下一篇

Anomalous energy diffusion and heat conduction in one-dimensional system

李海彬, 李珍

Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310023, China

收稿日期:2009-07-30 修回日期:2009-09-26 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
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.)

Anomalous energy diffusion and heat conduction in one-dimensional system

Li Hai-Bin(李海彬)^† and Li Zhen(李珍)

Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310023, China

Received:2009-07-30 Revised:2009-09-26 Online:2010-05-15 Published:2010-05-15
Supported by:
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.)

摘要/Abstract

摘要： 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.

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.

Key words: energy diffusion, heat conduction, one-dimensional hard-point model

中图分类号: (Heat conduction)

44.10.+i

05.60.-k (Transport processes)

李海彬, 李珍. Anomalous energy diffusion and heat conduction in one-dimensional system[J]. 中国物理B, 2010, 19(5): 54401-054401.

Li Hai-Bin(李海彬) and Li Zhen(李珍). Anomalous energy diffusion and heat conduction in one-dimensional system[J]. Chin. Phys. B, 2010, 19(5): 54401-054401.

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Anomalous energy diffusion and heat conduction in one-dimensional system

Anomalous energy diffusion and heat conduction in one-dimensional system

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