title: Scaling and the thermal conductivity of the Frenkel-Kontorova model.
abstract: We have studied the dependence of the thermal conductivity kappa on the strength of the interparticle potential lambda and the strength of the external potential beta in the Frenkel-Kontorova model. We found that the functional relation can be expressed in a scaling form, kappa proportional, variantlambda;{32}/beta;{2} . 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 kappa is therefore a decreasing functon of beta and an increasing function of lambda.
authors.affiliation: Department of Physics, Centre for Nonlinear Studies, and The Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (Hong Kong), Hong Kong Baptist University, Kowloon Tong, Hong Kong, China.
authors.forename: Zhi-Gang
authors.initials: ZG
authors.lastname: Shao
authors.forename: Lei
authors.initials: L
authors.lastname: Yang
authors.forename: Wei-Rong
authors.initials: WR
authors.lastname: Zhong
authors.forename: Da-Hai
authors.initials: DH
authors.lastname: He
authors.forename: Bambi
authors.initials: B
authors.lastname: Hu