Moments of the chain reaction distribution

Ricardo García-Pelayo

Physica A: Statistical Mechanics and its Applications, 1995, vol. 216, issue 3, 299-315

Abstract: We show how to find the moments of the continuous random walk with exponential pausing-time density in any number of dimensions. The equivalence between this model and a Lorentz gas is established. Asymptotic properties are discussed. Finally, we show how these results can be easily extended to the chain reaction case, in which the mean number of scattered particles changes after each scattering.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:216:y:1995:i:3:p:299-315

DOI: 10.1016/0378-4371(95)00005-R

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