Abstract | ||
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An explicit proof of a simple time-step propagation scheme is given in the framework of basic probability theory. It can be used in Monte Carlo simulations solving the Boltzmann transport equation. If the stochastically selected first scattering event occurs before a given time t1, the particle is propagated as usual until the end of the corresponding free-flight time; otherwise, however, the propagation can be stopped in this scheme at t1 and a new random number can be generated to decide whether the first scattering event occurs before the next specified time t2. |
Year | DOI | Venue |
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2003 | 10.1016/S0378-4754(02)00220-3 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
monte carlo simulation,monte carlo algorithm,next specified time t2,new random number,scattering event,semiconductors,simulation,85.30.de,basic probability theory,corresponding free-flight time,02.70.lq,02.50.ga,explicit proof,time t1,simple time-step propagation scheme,boltzmann transport equation,probability theory | Statistical physics,Monte Carlo method,Mathematical optimization,Hybrid Monte Carlo,Quasi-Monte Carlo method,Monte Carlo integration,Dynamic Monte Carlo method,Monte Carlo molecular modeling,Monte Carlo method for photon transport,Mathematics,Direct simulation Monte Carlo | Journal |
Volume | Issue | ISSN |
62 | 3-6 | Mathematics and Computers in Simulation |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
F. M. Bufler | 1 | 0 | 1.69 |
A. Schenk | 2 | 6 | 4.24 |
W. Fichtner | 3 | 289 | 36.60 |