Diffusion-controlled death of $A$-particle and $B$-particle islands at propagation of the sharp annihilation front $A + B \to 0$

Details Diffusion-controlled death of $A$-particle and $B$-particle islands at propagation of the sharp annihilation front $A + B \to 0$ Diffusion-controlled death of $A$-particle and $B$-particle islands at propagation of the sharp annihilation front $A + B \to 0$

2007-09-28

arxiv.org/abs/0709.4569v1

Physics

Condensed Matter

Statistical Mechanics

4 revtex pages, 1 jpg figure. Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.77.030101

We consider the problem of diffusion-controlled evolution of the system $A$-particle island - $B$-particle island at propagation of the sharp annihilation front $A+B\to 0$. We show that this general problem, which includes as particular cases the sea-sea and the island-sea problems, demonstrates rich dynamical behavior from self-accelerating collapse of one of the islands to synchronous exponential relaxation of the both islands. We find a universal asymptotic regime of the sharp front propagation and reveal limits of its applicability for the cases of mean-field and fluctuation fronts.

Affiliated with

Also associated with

No associations

Rating

Diffusion-controlled death of $A$-particle and $B$-particle islands at propagation of the sharp annihilation front $A + B \to 0$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Diffusion-controlled death of $A$-particle and $B$-particle islands at propagation of the sharp annihilation front $A + B \to 0$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion-controlled death of $A$-particle and $B$-particle islands at propagation of the sharp annihilation front $A + B \to 0$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-714917