Mathematical Structures in Statistical and Condensed Matter Physics

The European Physical Journal B

, Volume 56, Issue 3, pp 229-234

First online:

Anomalous heat conduction in a 2d Frenkel-Kontorova lattice

  • D. BarikAffiliated withIndian Association for the Cultivation of Science, Jadavpur Email author 

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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