Aggregation driven by a localized source

作者：Krapivsky P L^*

来源：Journal of Physics A-Mathematical and Theoretical, 2015, 48(24): 245002.

DOI：10.1088/1751-8113/48/24/245002

• aggregation
• Brownian coagulation
• scaling behavior

We study aggregation driven by a localized source of monomers. The densities become stationary and have algebraic tails far away from the source. We show that in a model with mass-independent reaction rates and diffusion coefficients, the density of monomers decays as r(-beta (d)) in d dimensions. The decay exponent has irrational values in physically relevant dimensions: beta (3)=( root 17+ 1)/2 and beta (2) = root 8. We also study Brownian coagulation with a localized source and establish the behavior of the total cluster density and the total number of of clusters in the system. The latter quantity exhibits a logarithmic growth with time.

• 出版日期2015-6-19