Eur. Phys. J. B 56, 229-234 (2007)
https://doi.org/10.1140/epjb/e2007-00113-8

Anomalous heat conduction in a 2d Frenkel-Kontorova lattice

Indian Association for the Cultivation of Science, Jadavpur, Kolkata, 700 032, India

Corresponding author: ^a pcdb5@mahendra.iacs.res.in

Received: 18 October 2006
Revised: 29 March 2007
Published online: 4 May 2007

Abstract

We show that in contrast to the 1d Frenkel-Kontorova (FK) chain known to obey the Fourier law of heat conduction and several 2d models which show logarithmic dependence of conductivity on system size, a scalar 2d FK lattice with commensurate structure exhibits anomalous heat conduction, whose thermal conductivity displays a power law behavior. The dependence of thermal gradient on bulk temperature and noise correlation is critically analyzed. A dynamical contribution to conductivity when the system attains a nonequilibrium steady state of thermal conduction has been identified.