Comparison of the performances between the gray and non-gray media approaches of thermal transport in silicon-tin
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Abstract
We have compared the performances of the gray and non–gray media approaches of thermal transport in Silicon – Tin using Monte Carlo Simulation. The Boltzmann Transport Equation (BTE) for phonons was used to describe the heat flow and ballistic conduction in semiconducting alloy systems. In this work, we have attempted solving the BTE using Monte Carlo (MC) simulation Computational domains for both gray and non-gray media approaches are modeled and the geometry and dimensions of unit cell and sub-cells in the domain are determined. In addition, the computational performances of the gray and non-gray media approaches are compared. The results revealed that when compared to non- gray approach, the gray media approach has more errors in the sub-cells. The maximum relative error is about 3.5%. The results also show that the non–gray media approach of thermal transport in Silicon – Tin exhibited numerical predictions with a very close match to experimental data.
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Succi S. The Lattice-Boltzmann Equation for Fluid Dynamics and Beyond, Clarendon Press, Oxford, UK. 2001.
Jeng MS. Modeling the Thermal Conductivity and Phonon Transport in Nanoparticle Composites using Monte Carlo Simulation, Journal of Heat Transfer. 2008; 130:42410–42415.
Mazumder S, Majumdar A. Monte Carlo Study of Phonon Transport in Solid Thin Films Including Dispersion and Polarization, Journal of Heat Transfer. 2001; 123:749-759.
Mittal A, Mazumder S. Monte Carlo Study of Phonon Heat Conduction in Silicon Thin Films Including Contributions of Optical Phonons, Journal of Heat Transfer. 2010;132:052402–052405.
Zebarjadi M, Shakouri A, Esfarjani K. Monte Carlo Simulation of Electron Transport in Degenerate and Inhomogeneous Semiconductor, Applied Physics Letters. 2007; 90:225 -229.
Lacroix D, Lemonnier D, Joulain K. Monte Carlo Transient Phonon Transport in Silicon and Germanium at Nanoscales, Physical Review. 2005; 72:64305-64309.
Murthy JY, Fisher TS. Modelling of Subcontinuum Thermal Transport Across Semiconductor Gas Interfaces, Heat Transfer Summer Conference. 2005; 15:389 -400.
Wong BT, Francoeur M, Pinar M. A Monte Carlo Simulation for Phonon Transport Within Silicon Structures at Nanoscales with Heat Generation, International Journal of Heat and Mass Transfer. 2011; 54:1825-1838.
Huang MJ, Kang TY. A Monte-Carlo study of the Phonon Transport in Nanowire-embedded Composites, International Journal of Thermal Sciences. 2011; 50:1156–1163.
Chen A, Sher A. Semiconductor Alloys Physics and Materials Engineering, Physical Review Letters. 2012; 84:1197-1198.
Tseng H, Kirsch T, Park C, Bersuker M, Majhi P, Hussain M, Jammy R. Microelectron, Engineering Technology. 2009; 86:1722– 1727
Hao Q, Chen G, Jeng MS. Frequency-dependent Monte Carlo Simulations of Phonon Transport in Two-dimensional Porous Silicon with Aligned Pores, Journal of Applied Physics. 2009; 106 :114321-114329.