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Linear transport theory for particles moving on a spherical surface

descriptionPublicationkeyboard_double_arrow_right Article , Journal 01 Jan 2010 Italy Publisher:Elsevier BVJournal:Computers & Mathematics with Applications, volume 59, pages 486-492 (issn: 0898-1221, Copyright policy )
Authors: COPPA, Gianni; D'ANGOLA A; MULAS R.;

doi: 10.1016/j.camwa.2009.06.012

handle: 11583/2307862 , 11563/8495

Linear transport theory for particles moving on a spherical surface

Abstract

AbstractThe paper deals with a linear transport model for particles moving on a spherical surface in the presence of absorption and scattering events. Starting from the analytical expression for the particle density in the case of a pure absorbing sphere, an integral equation is derived for situations in which isotropic scattering is present. The equation has been solved numerically in order to obtain the Green function of the problem. Analytical and numerical results are compared with those obtained resorting to the Monte Carlo method.

Country
Italy
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Keywords

Linear transport theory, Integral transport equation, Spherical geometry, Monte Carlo simulations, Computational Mathematics, Computational Theory and Mathematics, Green function, Modelling and Simulation

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average
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