Diffusion-controlled death of A -particle and B -particle islands at propagation of the sharp annihilation front A+B-->0.
We consider the problem of diffusion-controlled evolution of the A -particle-island- B -particle-island system at propagation of the sharp annihilation front A+B-->0 . We show that this general problem, which includes as particular cases the sea-sea and island-sea problems, demonstrates rich dynamical behavior from self-accelerating collapse of one of the islands to synchronous exponential relaxation of both islands. We find a universal asymptotic regime of the sharp-front propagation and reveal the limits of its applicability for the cases of mean-field and fluctuation fronts.
Shipilevsky
Boris M
BM
Institute of Solid State Physics, Chernogolovka, Moscow district, 142432, Russia.