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Acceleration of test particles in one-dimensional random force fields

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  • Grappin, R.J.P.

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.

Suggested Citation

  • Grappin, R.J.P., 1977. "Acceleration of test particles in one-dimensional random force fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(3), pages 435-451.
    • Handle: RePEc:eee:phsmap:v:88:y:1977:i:3:p:435-451
    DOI: 10.1016/0378-4371(77)90120-0
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    1. Federico Frischknecht, 1974. "The Structure of Management Decision Systems," Interfaces, INFORMS, vol. 5(1), pages 11-18, November.
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