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## “School of Nano-Sciences”

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Paper   IPM / Nano-Sciences / 8242
School of Nano Science
Title:   Monte Carlo simulation of size-effects on thermal conductivity in a 2-dimensional Ising system
Author(s):
 1 . Mehdi Neek Amal 2 . Ruhollah Moussavi 3 . Hamid Reza Sepanji
Status:   Published
Journal: Physica A
No.:  2
Vol.:  371
Year:  2008
Pages:   424
Publisher(s):   Elsevier B.V.
Supported by:  IPM
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 efects 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