The European Physical Journal B

, Volume 56, Issue 3, pp 229–234

Anomalous heat conduction in a 2d Frenkel-Kontorova lattice

Mathematical Structures in Statistical and Condensed Matter Physics

DOI: 10.1140/epjb/e2007-00113-8

Cite this article as:
Barik, D. Eur. Phys. J. B (2007) 56: 229. doi:10.1140/epjb/e2007-00113-8


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.


44.10.+i Heat conduction 05.60.-k Transport processes 05.70.Ln Nonequilibrium and irreversible thermodynamics 

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Indian Association for the Cultivation of Science, JadavpurKolkataIndia

Personalised recommendations