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Time step truncation in direct simulation Monte Carlo for semiconductors. (English) Zbl 1079.82552
Summary: The purpose is to provide an accurate analysis of the systematic error introduced by the constant time technique free flight mechanism, due to the choice of the time step and number particles. A homogeneous (bulk) silicon semiconductor is studied by using direct simulation Monte Carlo (DSMC). The systematic error turns out to be of the first order with respect to the time step. The efficiency of the method is tackled. The analysis is limited to the bulk case. Future researches will consider non homogeneous devices.
An accurate analysis of an “old” free flight mechanism has been performed, and its limits have been stated.

MSC:
82C70 Transport processes in time-dependent statistical mechanics
82C80 Numerical methods of time-dependent statistical mechanics (MSC2010)
82D37 Statistical mechanics of semiconductors
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References:
[1] DOI: 10.1103/PhysRevB.51.16728
[2] DOI: 10.1016/0022-3697(70)90001-6
[3] DOI: 10.1103/PhysRevB.38.9721
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[7] DOI: 10.1016/0021-9991(86)90024-0 · Zbl 0585.65001
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