Formal solution of a class of reaction-diffusion models: reduction to a single-particle problem.
We consider the trapping reaction A+B-->B in space dimension d 0 or B, in d=2.
Journal Article↗
Biomedical subjects
Richard A Blythe
Publications and source records attributed to Richard A Blythe.
Exact asymptotics for one-dimensional diffusion with mobile traps.
We consider a diffusing particle, with diffusion constant D', moving in one dimension in an infinite sea of noninteracting mobile traps with diffusion constant D and density rho. We show that the asymptotic behavior of the survival probability, P(t), satisfies lim([-ln(P(t)]/sqrt[rho2Dt]=4/sqrt[pi], independent of D'. The result comes from obtaining upper and lower bounds on P(t), and showing that they coincide asymptotically. We also obtain exact results for P(t) to first order in D(')/D for an arbitrary finite number of traps.
Journal Article↗