An alternative approach to efficient simulation of micro/nanoscale phonon transport

Starting from the recently proposed energy-based deviational formulation for solving the Boltzmann equation [J.-P. Péraud and N. G. Hadjiconstantinou, Phys. Rev. B 84, 205331 (2011)], which provides significant computational speedup compared to standard Monte Carlo methods for small deviations from...

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Bibliographic Details
Published in:Applied physics letters 2012-10, Vol.101 (15)
Main Authors: Péraud, Jean-Philippe M., Hadjiconstantinou, Nicolas G.
Format: Article
Language:English
Subjects:
Algorithms
Computation
Computer simulation
Deviation
Mathematical analysis
Monte Carlo methods
Nanostructure
Three dimensional
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Summary:Starting from the recently proposed energy-based deviational formulation for solving the Boltzmann equation [J.-P. Péraud and N. G. Hadjiconstantinou, Phys. Rev. B 84, 205331 (2011)], which provides significant computational speedup compared to standard Monte Carlo methods for small deviations from equilibrium, we show that additional computational benefits are possible in the limit that the governing equation can be linearized. The proposed method exploits the observation that under linearized conditions (small temperature differences) the trajectories of individual deviational particles can be decoupled and thus simulated independently; this leads to a particularly simple and efficient algorithm for simulating steady and transient problems in arbitrary three-dimensional geometries, without introducing any additional approximation.
ISSN:0003-6951
1077-3118
DOI:10.1063/1.4757607