Abstract
A method for calculating time-dependent probabilities and rates of coagulation is given for particles on a bounded two-dimensional region. Equations are derived and solved for the random variations of displacements between two particles which undergo independent Brownian motion and bind irreversibly upon collision. The solution is used to calculate expected times required for collisions of particles. Comparison with earlier models shows that revised boundary values and initial conditions predictably lengthen required collision times by about a factor of four. Applicatons of the methodology are discussed.
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