Nonlinear Dynamics

, Volume 94, Issue 4, pp 3067–3075 | Cite as

Effect of degree correlation on the thermal transport in complex networks

  • Kezhao Xiong
  • Chunhua Zeng
  • Zonghua Liu
Original Paper


In this work, we present a complex network model to study thermal transport in the nanotube and nanowire networks, with nodes forming a random network. It is shown that the temperature distribution in complex networks can be manipulated by the degrees of two heat source nodes, and the change of network topology can induce a transition between negative (disassortative) and positive (assortative) degree correlations. A positive degree correlation (assortativity) will enhance thermal transport, in contrast to the uncorrelated networks (zero degree correlation), while a negative degree correlation (disassortativity) will weaken it. The underlying mechanisms have been analyzed, and a possible realization of the model in a nanoscale system is briefly discussed.


Temperature distribution Thermal transport Degree correlation Complex networks 



This work was partially supported by the NNSF of China under Grant No. 11675056, the Candidate Talents Training Fund of Yunnan Province (Project Nos. 2015HB025 and 11665014) and the Natural Science Foundation of Yunnan Province (under 2017FB003).

Compliance with ethical standards

Conflict of interest

The authors have declared that no competing interests exist.


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department of PhysicsEast China Normal UniversityShanghaiPeople’s Republic of China
  2. 2.Institute of Physical and Engineering ScienceKunming University of Science and TechnologyKunmingPeople’s Republic of China
  3. 3.Department of Materials Science and EngineeringUniversity of CaliforniaBerkeleyUSA
  4. 4.Department of Mechanical EngineeringUniversity of Colorado BoulderBoulderUSA

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