Anomalous energy diffusion and heat conduction in one-dimensional system

Anomalous energy diffusion and heat conduction in one-dimensional system

下载PDF

导出

摘要 We propose a new concept, the centre of energy, to study energy diffusion and heat conduction in a one-dimensional hard-point model. For the diatom model, we find an anomalous energy diffusion as （x2） - tβ with β = 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 the theory of dynamic billiard, the divergent exponent of heat conductivity is estimated to be α = 0.33, which is confirmed by a simple numerical calculation. We propose a new concept, the centre of energy, to study energy diffusion and heat conduction in a one-dimensional hard-point model. For the diatom model, we find an anomalous energy diffusion as （x2） - tβ with β = 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 the theory of dynamic billiard, the divergent exponent of heat conductivity is estimated to be α = 0.33, which is confirmed by a simple numerical calculation.

作者李海彬李珍

机构地区 Department of Applied Physics

出处《Chinese Physics B》 SCIE EI CAS CSCD 2010年第5期393-398,共6页 中国物理B（英文版）

基金 Project supported by the National Natural Science Foundation of China (Grant No. 10605020) the Natural Science Foundation of Zhejiang Province of China (Grant No. Y605376.)

关键词 energy diffusion heat conduction one-dimensional hard-point model energy diffusion, heat conduction, one-dimensional hard-point model

分类号 O414.1 [理学—理论物理]

引文网络
相关文献

参考文献27

1Lepri S, Livi R and Politi A 2003 Phys. Rep. 377 1.
2Rieder Z, Lebowtiz J L and Lieb E 1967 J. Math. Phys. 8 1073.
3Li H B, Wang Y H and Zhao H 2002 Phys. Rev. Lett. 89 079401.
4Grassberger P. Nodler W and Yang L 2002 Phys. Rev. Lett. 89 180601.
5Casati G and Prosen T 2003 Phys. Rev. E 67 015203(R).
6Savin A V, Tsironis G P and Zolotaryuk A V 2002 Phys. Rev. Lett. 88 154301.
7Dhar A 2001 Phys. Rev. Lett. 86 3554.
8Pereverzev A 2003 Phys. Rev. E 68 056124.
9Narayan O and Ramaswamy S 2002 Phys. Rev. Lett. 89 200601.
10Delfini L, Lepri S, Livi R and Politi A 2006 Phys. Rev. E 73 060201.

1王宏民,侯召宇,刘家福,孙献静.J/ψ-N center of mass energy dependence of nuclear absorption effect on J/ψ production[J].Chinese Physics C,2010,34(1):22-27.
2德美科学家发现新型粒子量子滴[J].中国教工,2014(4):48-48.
3周家槐,吴培亨,杨森祖.SIS结准粒子参量放大器的性能分析[J].低温物理学报,1992,14(2):136-144.
4HU Shou-yang,LI Xiao-mei,YE Li,ZHOU Jing,MENG Qiu-ying,ZHOU Shu-hua.Single-Spin Asymmetry of π^0 in Run 8 pp Data[J].Annual Report of China Institute of Atomic Energy,2009(1):177-178.
5WANG Xiao-yan,DING Shi-liang.Dynamical approach to the statistical average of atom-diatom collision[J].原子与分子物理学报,2006,23(B04):105-110.
6李海彬,聂青苗,辛晓天.Asymmetric Heat Conduction in One-Dimensional Hard-Point Model with Mass Gradient[J].Chinese Physics Letters,2009,26(7):192-195.
7宋旭东,董世海,张宇.Quantum information entropy for one-dimensional system undergoing quantum phase transition[J].Chinese Physics B,2016,25(5):38-42.
8王晓成.差分式光敏二极管典型应用电路[J].家电检修技术,2008(4):50-50.
9力诺瑞特热魔方即将上市开启家电模块化定制时代[J].中国太阳能产业资讯,2015,0(4):36-36.
10朱雄伟.Stochastic motion of the untrapped particle in electrostatic mode[J].Chinese Physics C,2010,34(3):409-411.

Chinese Physics B

2010年第5期

浏览历史

内容加载中请稍等...

Anomalous energy diffusion and heat conduction in one-dimensional system

参考文献27

相关作者

相关机构

相关主题

浏览历史