Diffusion-Limited Coalescence, A+A<-->A, with a Trap

Details Diffusion-Limited Coalescence, A+A<-->A, with a Trap Diffusion-Limited Coalescence, A+A<-->A, with a Trap

1998-02-19

arxiv.org/abs/cond-mat/9802214v1

Phys. Rev. E 58, 4351 (1998).

Physics

Condensed Matter

Statistical Mechanics

4 pages, typset with RevTeX

Scientific paper

10.1103/PhysRevE.58.4351

We study diffusion-limited coalescence, A+A<-->A$, in one dimension, and derive an exact solution for the steady state in the presence of a trap. Without the trap, the system arrives at an equilibrium state which satisfies detailed balance, and can therefore be analyzed by classical equilibrium methods. The trap introduces an irreversible element, and the stationary state is no longer an equilibrium state. The exact solution is compared to that of a reaction-diffusion equation --- the habitual approximation method of choice. The exact solution allows us to determine the rate coefficients in the reaction-diffusion equation, without appealing to renormalization group techniques.

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