The European Physical Journal B

, Volume 56, Issue 3, pp 229–234 | Cite as

Anomalous heat conduction in a 2d Frenkel-Kontorova lattice

Mathematical Structures in Statistical and Condensed Matter Physics

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.

PACS.

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

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Copyright information

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

Authors and Affiliations

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

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