scholarly journals RCPO1 - A Monte Carlo program for solving neutron and photon transport problems in three dimensional geometry with detailed energy description and depletion capability

2000 ◽  
Author(s):  
L.A., II Ondis ◽  
L.J. Tyburski ◽  
B.S. Moskowitz
Keyword(s):  
Monte Carlo ◽  
Three Dimensional ◽  
Monte Carlo Program ◽  
Photon Transport ◽  
Transport Problems

scholarly journals Deviational Phonons and Thermal Transport at the Nanoscale

2012 ◽  
Author(s):  
Jean-Philippe M. Péraud ◽  
Nicolas G. Hadjiconstantinou
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Three Dimensional ◽  
Simulation Method ◽  
Phonon Transport ◽  
Statistical Uncertainty ◽  
Small Temperature ◽  
Efficient Simulation ◽  
Transport Problems ◽  
Individual Particles

We present a new method for simulating phonon transport at the nanoscale. The proposed approach is based on the recently developed energy-based deviational Monte Carlo method by the authors [Phys. Rev. B 84, 205331, 2011] which achieves significantly reduced statistical uncertainty compared to standard Monte Carlo methods by simulating only the deviation from equilibrium. Here, we show that under linearized conditions (small temperature differences) the trajectories of individual particles simulating the deviation from equilibrium can be decoupled and can thus be simulated independently, without introducing any additional approximation. This leads to a particularly simple and efficient simulation method that can be used to treat steady and transient phonon transport problems in arbitrary three-dimensional geometries.

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