The Solution of the Modified Helmholtz Equation in a Wedge and an Application to Diffusion-Limited Coalescence

Details The Solution of the Modified Helmholtz Equation in a Wedge and an Application to Diffusion-Limited Coalescence The Solution of the Modified Helmholtz Equation in a Wedge and an Application to Diffusion-Limited Coalescence

1999-06-23

arxiv.org/abs/cond-mat/9906351v1

Phys. Lett. A 263, 355--359 (1999).

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/S0375-9601(99)00698-2

The general solution of the modified Helmholtz equation,
q_{xx}(x,y)+q_{yy}(x,y)-4b^2q(x,y)=0, in the wedge 0 < x < y < infinity, is
presented. This solution is used to find the explicit steady-state of
diffusion-limited coalescence, A+A<-->A, on the half-line, with a trap-source
at the origin.

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