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22-01E

22-01E


By Velychko - Posted on 20 September 2022

UDC: 
53.072.11, 544.77.052.2
PACS: 
05.10.Cc, 05.40.Fb, 64.60.F-, 82.20.Wt, 82.30.-b

Survival in two-species reaction-superdiffusion system: Renormalization group treatment and numerical simulations

D. Shapoval, V. Blavatska, M. Dudka

We analyze the two-species reaction-diffusion system including trapping reaction A + BA as well as coagulation/annihilation reactions A + A → (A,0) where particles of both species are performing Lévy flights with control parameter 0 < σ < 2. The density as well as the correlation function for target particles B in such problem are known to scale with nontrivial universal exponents at space dimension ddc. Applying the renormalization group formalism we calculate these exponents in a case of the Lévy flights below the critical dimension dc = σ. The numerical simulations of the process on a one-dimensional chain are performed as well. Obtained quantitative estimates for the decay exponent of the density of survived particles B are in a good agreement with the analytical results.

Year: 
2022
Pages: 
29
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