Scavenging of Neutral Species Reflecting Outer Boundary

3 Scavenging of Neutral Species Reflecting Outer Boundary 

This section presents the mathematical derivation to calculate the minimum scavenger-particle distance from the viewpoint of Smoluchowski theory to help understand discrepancy in the scavenging rate. To begin with, the probability of scavenger-particle distance y to be greater than r is given by 

Let the number of scavengers P have a Poisson distribution of the form 

The mean smallest scavenger-particle distance is then readily found to be 

2 Analysis of the Mean Smallest Distance in Smoluchowski Theory and Inside a Sphere 

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