Geodesic
Study of superexponential growth of the mean partile flux by Monte Carlo method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 26 (2023) no. 3, pp. 277-285 
G. Z. Lotova; G. A. Michailov. Study of superexponential growth of the mean partile flux by Monte Carlo method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 26 (2023) no. 3, pp. 277-285. http://geodesic.mathdoc.fr/item/SJVM_2023_26_3_a3/
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     author = {G. Z. Lotova and G. A. Michailov},
     title = {Study of superexponential growth of the mean partile flux by {Monte} {Carlo} method},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {277--285},
     year = {2023},
     volume = {26},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A comparative analysis of two algorithms for estimation of weighted mean particle flux - «by particles» and «by collisions» - is made on the basis of test problem solving for a single-speed particle propagation process with scattering and multiplication in a random medium. It is shown that the first algorithm is preferable for a simple estimation of the mean flux and the second one, for estimation of the parameters of a possible superexponential flux growth. Two models of the random medium are considered: a chaotic «Voronoi mosaic» and «a spherically layered mosaic». For a fixed mean correlation radius, the superexponential growth has been stronger for the layered mosaic.

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