ISSN:
1572-9613
Keywords:
Reaction-diffusion
;
Brownian motion
;
moderate interaction
;
law of large numbers
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We consider a nonlinear reaction-diffusion model:n Brownian particles move independently inR d and eventually die. The interaction, of binary type, affects only the death rate. The radius of interaction goes to zero as the number of particles increases and we characterize a wide range of speeds at which the radius goes to zero. Within this range we show a law of large numbers for the empirical distributions of the alive particles. The limit is independent of the choice of the speed and it is characterized as the solution of a nonlinear reaction-diffusion equation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01041598
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