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Proceedings Paper

Particle transport with branching in a medium randomly varying in time (Invited Paper)
Author(s): Lenard Pal; Imre Pazsit
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Paper Abstract

The theory of particle transport with branching in a medium randomly varying in time is developed in this paper. We consider an evolution equation for the probability distribution of the number of particles in a multiplying system whose properties jump randomly between two discrete states. A forward type master equation is derived for the probability distributions, and from these, the first two factorial moments are calculated, including the variance. This model can be considered the unification of stochastic methods that were used either for the particle fluctuations in a constant multiplying medium via the master equation technique, or in a fluctuating medium via the Langevin technique. The results obtain show a much richer variety of behaviour than any of the above two methods separately can reconstruct.

Paper Details

Date Published: 23 May 2005
PDF: 15 pages
Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); doi: 10.1117/12.609310
Show Author Affiliations
Lenard Pal, KFKI Atomic Energy Research Institute (Hungary)
Imre Pazsit, Chalmers Univ. of Technology (Sweden)


Published in SPIE Proceedings Vol. 5845:
Noise in Complex Systems and Stochastic Dynamics III
Laszlo B. Kish; Katja Lindenberg; Zoltan Gingl, Editor(s)

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