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A SIMPLE PARTICLE MODEL FOR A SYSTEM OF COUPLED EQUATIONS WITH ABSORBING COLLISION TERM

2011

We study a particle model for a simple system of partial differential equations describing, in dimension $d\geq 2$, a two component mixture where light particles move in a medium of absorbing, fixed obstacles; the system consists in a transport and a reaction equation coupled through pure absorption collision terms. We consider a particle system where the obstacles, of radius $\var$, become inactive at a rate related to the number of light particles travelling in their range of influence at a given time and the light particles are instantaneously absorbed at the first time they meet the physical boundary of an obstacle; elements belonging to the same species do not interact among themselves…

Interacting particle systemsPhotonlarge numbers limitDimension (graph theory)FOS: Physical sciencesBoundary (topology)01 natural sciences010104 statistics & probabilityInteracting particle systems large numbers limit absorptionFOS: Mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]Absorption (logic)0101 mathematics[PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]Condensed Matter - Statistical MechanicsPhysicsParticle systemNumerical AnalysisRange (particle radiation)Partial differential equationStatistical Mechanics (cond-mat.stat-mech)Probability (math.PR)010102 general mathematicsMathematical analysis[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]Modeling and SimulationProduct measure82C22 82C21 60F05 60K35absorptionMathematics - Probability
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