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Recently, an exact Green's function of the diffusion equation for a pair ofspherical interacting particles in two dimensions subject to a backreactionboundary condition was derived. Here, we use the obtained Green's function tocalculate exact expressions for the survival probability, the time-dependentreaction rate coefficient for the initially unbound pair and the survivalprobability of the bound state in the time domain. Moreover, we derive an exactexpression for the off-rate.

Survival probabilities and rates derived from an exact Green's function of the reversible diffusion-influenced reaction for an isolated pair in 2D