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Self-similar evolution of the A-particle island-semi-infinite B-particle sea reaction-diffusion system.

作者信息

Shipilevsky Boris M

机构信息

Institute of Solid State Physics, Chernogolovka, Moscow district, 142432, Russia.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jul;88(1):012133. doi: 10.1103/PhysRevE.88.012133. Epub 2013 Jul 29.

DOI:10.1103/PhysRevE.88.012133
PMID:23944440
Abstract

We consider diffusion-controlled evolution of the A-particle island-semi-infinite B-particle sea system at propagation of the sharp annihilation front A+B→0. We show that at a large initial number of island particles the system evolution is described by the universal scaling laws with nonmonotonous front trajectory and a constant velocity of the island center motion. We demonstrate that asymptotically the island moves self-similarly retaining its velocity, shape and width.

摘要

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