Thermal transport in low-dimensional lattices with nearest- and next-nearest-neighbour coupling

Santhosh, G. ; Kumar, Deepak ; Ramaswamy, R. (2005) Thermal transport in low-dimensional lattices with nearest- and next-nearest-neighbour coupling Journal of Statistical Mechanics: Theory and Experiment, 2005 (07). Article ID P07005. ISSN 1742-5468

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Official URL: http://iopscience.iop.org/1742-5468/2005/07/P07005

Related URL: http://dx.doi.org/10.1088/1742-5468/2005/07/P07005

Abstract

We examine the effect of increasing the range of interaction on the anomalous transport properties of classical low-dimensional lattices coupled to thermal baths at different temperatures. We consider one-dimensional next-nearest-neighbour (NNN) interactions as well as a zig-zag model of two chains with nonlinearity of Fermi–Pasta–Ulam (namely quartic + quadratic) type. As in the case of linear chains with nearest-neighbour coupling, the thermal conductivity diverges as a power of the system size. The characteristic exponents are, however, distinct, and appear to depend on the strength of the coupling.

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Deposited On:22 May 2015 12:04
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