Anomalous heat conduction in a 2d Frenkel-Kontorova lattice

D. Barik ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 56, issue 3, 229-234

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 44.10.+i Heat conduction; 05.60.-k Transport processes; 05.70.Ln Nonequilibrium and irreversible thermodynamics (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1140/epjb/e2007-00113-8

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