Time step truncation in direct simulation Monte Carlo for semiconductors

Orazio Muscato (Dipartimento di Matematica e Informatica, Catania, Italy)
Wolfgang Wagner (Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany)



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.

Research limitations/implications

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.



Muscato, O. and Wagner, W. (2005), "Time step truncation in direct simulation Monte Carlo for semiconductors", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 24 No. 4, pp. 1351-1366. https://doi.org/10.1108/03321640510615652

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