Abstract:
Consider a system of independent random walks in the discrete torus with creation-annihilation of particles and possible explosion of the total number of particles in finite time. Rescaling space and rates for diffusion/creation/annihilation of particles, we obtain a strong law of large numbers for the density of particles in the supremum norm. The limiting object is a classical solution to the semilinear heat equation ∂ tu=∂ xxu+f(u). If f(u)=u p, 1<p≤3, we also obtain a law of large numbers for the explosion time. © 2012 Springer Science+Business Media New York.
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Citas:
---------- APA ----------
Franco, T. & Groisman, P.
(2012)
. A Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-Up Time. Journal of Statistical Physics, 149(4), 629-642.
http://dx.doi.org/10.1007/s10955-012-0621-8---------- CHICAGO ----------
Franco, T., Groisman, P.
"A Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-Up Time"
. Journal of Statistical Physics 149, no. 4
(2012) : 629-642.
http://dx.doi.org/10.1007/s10955-012-0621-8---------- MLA ----------
Franco, T., Groisman, P.
"A Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-Up Time"
. Journal of Statistical Physics, vol. 149, no. 4, 2012, pp. 629-642.
http://dx.doi.org/10.1007/s10955-012-0621-8---------- VANCOUVER ----------
Franco, T., Groisman, P. A Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-Up Time. J. Stat. Phys. 2012;149(4):629-642.
http://dx.doi.org/10.1007/s10955-012-0621-8