Anomalous heat conduction in a 2d Frenkel-Kontorova lattice
Indian Association for the Cultivation of Science, Jadavpur, Kolkata, 700 032, India
Corresponding author: a firstname.lastname@example.org
Revised: 29 March 2007
Published online: 4 May 2007
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.
PACS: 44.10.+i – Heat conduction / 05.60.-k – Transport processes / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007