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Moment conserving method for modelling multiple collisions in particle simulations

journal contribution
posted on 25.02.2008, 10:20 by Felipe IzaFelipe Iza, Jae Koo Lee
A statistical procedure for modelling the cumulative effect of multiple collisions in particle simulations is presented. The procedure approximates the probability density function (PDF) of the final scattering angle and that of the particle net displacement by parametric functions. Formulae for determining the moments of the exact PDFs as a function of the statistics of a single collision event are derived. Using these formulae, the parametric functions can be fitted to yield the same first moments as the real distributions. Therefore, in contrast to other approaches where after one iteration the error in the first moments depends on the number of collisions modelled, the present model provides always the right moments. Correlation between the scattering angle and the displacement of the particle is also considered and enforced by means of a Gaussian copula.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Citation

Moment conserving method for modelling multiple collisions in particle simulations. Journal of Physics D: Applied physics, 39, pp. 1853–1865

Publisher

© Institute of Physics Publishing

Publication date

2006

Notes

This article is Restricted Access. It was published in the journal, Journal of Physics D: Applied Physics [© Institute of Physics Publishing]. The definitive version (doi:10.1088/0022-3727/39/9/021) is available at: http://www.iop.org/EJ/journal/JPhysD

ISSN

0022-3727

Language

en

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