A fluctuation problem in particle transport theory I

M.M.R. Williams

Physica A: Statistical Mechanics and its Applications, 1977, vol. 86, issue 3, 535-552

Abstract: The fluctuation in the number of collision suffered by particles as they slow down in a moderating medium is studied via a probability balance equation. The equation describes the collision history of foreign particles slowing down in a host medium and also accounts for the recoil particles produced in the collision. The equations are solved by the introduction of a generating function from which the space and time dependent probability distributions are obtained. That is, the probability that a particle will suffer just N collisions to reach energy E at a time t after injection. In the space dependent case it is the probability that a particle suffers just N collisions to travel a given path length before coming to rest.

Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:86:y:1977:i:3:p:535-552

DOI: 10.1016/0378-4371(77)90093-0

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