G Santhosh et al J. Stat. Mech. (2005) P07005 doi:10.1088/1742-5468/2005/07/P07005
G Santhosh, Deepak Kumar and R Ramaswamy1
Show affiliationsWe 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.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Issue 07 (July 2005)
Received 1 July 2005, accepted for publication 11 July 2005
Published 26 July 2005
G Santhosh et al J. Stat. Mech. (2005) P07005
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