无序非谐振链中量子热传输特性的研究  

Influence of the heat bath on the heat conductivity in disordered anharmonic chain

作　　者：赵华[1] 周红[2] 袁艳红[1] 孙振武[1] 王相虎[1] 

机构地区：[1]上海电机学院应用数理研究所,上海200240 [2]上海交通大学物理实验中心,上海200240

出　　处：《上海电机学院学报》2008年第1期62-65,86,共5页Journal of Shanghai Dianji University

基　　金：上海电机学院优秀青年教师基金资助项目(07C316)

摘　　要：运用发展的Ford-Kac-Mazur方法对一维无序非谐振链的热传输特性进行了研究，从中得到了热导k率与系统大小（N）之间满足关系式k-Na。并且分别在自由边界条件及固定边界条件下得到k与N之间满足k～N^1/2。和k～N^-1/2的结论，由此得出动量是决定反常热传导的关键因素。同时，通过对不同温度下对线性及非线性系统热导率的比较发现二者之间存在较大的差别。We study heat conduction in a one-dimensional disordered anharmonic chain with arbitrary heat bath by using extended Ford, Kac and Mazur （FKM） formation, which satisfy the fluctua- tion-dissipation theorem. A simple formal expression for the heat conductivity k is obtained, from which the asymptotic system-size （N） dependence is extracted. It shows to--N% As a special case we give the expression that k-N^1/2 for free boundaries, and k-N^-1/2 for fixed ones. Thus we can get following conclusion, the momentum conversation is a key factor to determine the anomalous heat conduction. Comparing the heat conductivity in both linear system and the nonlinear system with different temperatures, shows that a large difference between these two systems.

关 键 词：热传导 量子传输 低雏噪声 

分 类 号：O551[理学—热学与物质分子运动论]