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

M. Neek-Amal; R. Moussavi; H. R. Sepangi

doi:10.1016/j.physa.2006.03.026

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

Statistical Mechanics 2009-11-11 v2

Authors: M. Neek-Amal , R. Moussavi , H. R. Sepangi

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Abstract

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.

Keywords

Monte Carlo simulation thermal conductivity size effects Ising model microcanonical ensemble temperature gradient nanoscale

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@article{arxiv.cond-mat/0604663,
  title  = {Monte Carlo simulation of size-effects on thermal conductivity in a 2-dimensional Ising system},
  author = {M. Neek-Amal and R. Moussavi and H. R. Sepangi},
  journal= {arXiv preprint arXiv:cond-mat/0604663},
  year   = {2009}
}

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10 pages, 7 figures, to appear in Physica A

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

Abstract

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