Monte Carlo simulation of size-effects on thermal conductivity in a 2-dimensional Ising system

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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10 pages, 7 figures, to appear in Physica A

Scientific paper

10.1016/j.physa.2006.03.026

A model based on microcanonical Monte Carlo method is used to study the application of the temperature gradient along a two-dimensional (2D) Ising system. We estimate the system size effects on thermal conductivity, $K$, for a nano-scale Ising layer with variable size. It is shown that $K$ scales with size as $ K=cL^\alpha$ where $\alpha$ varies with temperature. Both the Metropolis and Cruetz algorithms have been used to establish the temperature gradient. Further results show that the average demon energy in the presence of an external magnetic field is zero for low temperatures.

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