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复杂网络程度对热传导的影响。

Influence of the degree of a complex network on heat conduction.

机构信息

Department of Physics, East China Normal University, Shanghai, 200062, People's Republic of China.

Department of Mechanical Engineering, University of Colorado, Boulder, Colorado 80309 USA.

出版信息

Phys Rev E. 2018 Aug;98(2-1):022115. doi: 10.1103/PhysRevE.98.022115.

DOI:10.1103/PhysRevE.98.022115
PMID:30253545
Abstract

Devices made of nanotubes and nanowires networks are of great interest for applications and have caught increasing attention in recent years. In this work, we study heat conduction in a network model with nodes being atoms and links being one-dimensional chains of atoms. It is found that heat conduction in the complex network is fundamentally different from that of regular lattices. It depends very sensitively on the average degrees of complex networks and the degrees of nodes that are attached to the two heat baths. For example, when the two heat source nodes have the same degree k_{0}, the heat flux reaches a maximum at an optimized value of k_{0} and decreases with the increase of the average degree 〈k〉. In other words, the source nodes with optimal degree k_{0} and the sparse network are more favorable to heat flux. Thermal rectification effect is found when the two heat source nodes have different degrees or the network model has multiple heat source nodes. Theoretical analysis is provided to explain the numerical results.

摘要

纳米管和纳米线网络制成的器件在应用中具有很大的兴趣,并在近年来引起了越来越多的关注。在这项工作中,我们研究了具有原子节点和一维原子链连接的网络模型中的热传导。发现复杂网络中的热传导与规则晶格中的热传导有根本的不同。它非常敏感地依赖于复杂网络的平均度数和连接到两个热浴的节点的度数。例如,当两个热源节点具有相同的度数 k_{0}时,在优化的 k_{0}值下达到最大热流,并随着平均度数〈k〉的增加而减小。换句话说,具有最优度数 k_{0}和稀疏网络的源节点更有利于热流。当两个热源节点具有不同的度数或网络模型具有多个热源节点时,会发现热整流效应。提供了理论分析来解释数值结果。

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