Scaling and the thermal conductivity of the Frenkel-Kontorova model

Zhi-Gang Shao, Lei Yang*, Wei-Rong Zhong, Da-Hai He, Bambi Hu

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

11 Citations (Scopus)


We have studied the dependence of the thermal conductivity κ on the strength of the interparticle potential λ and the strength of the external potential β in the Frenkel-Kontorova model. We found that the functional relation can be expressed in a scaling form, κ λ3 2 β2. This result is first obtained by nonequilibrium molecular dynamics. It is then confirmed by two analytical methods, the self-consistent phonon theory and the self-consistent stochastic reservoirs method. The thermal conductivity κ is therefore a decreasing functon of β and an increasing function of λ.

Original languageEnglish
Article number061130
Number of pages6
JournalPhysical Review E
Issue number6
Publication statusPublished - 29 Dec 2008

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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