Acceleration of test particles in one-dimensional random force fields

R.J.P. Grappin

Physica A: Statistical Mechanics and its Applications, 1977, vol. 88, issue 3, 435-451

Abstract: The aim of this research is to study acceleration of test particles in random space-time dependent force fields, by using or generalizing some tools developed in particular for the study of stochastic differential equations with time-dependent random parameters. Preliminary results given here are: a generalization of the Markov property to space-time, connected with a condition of non-repeated interaction, two-valued fields having this property allowing exact application of the widely used Bourret (or first order smoothing) approximation; the energy spectrum at exit of a bounded slab containing a space-dependent random field, the transmission coefficient of the slab and the mean energy gain of transmitted particles.

Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:88:y:1977:i:3:p:435-451

DOI: 10.1016/0378-4371(77)90120-0

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