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A random flight process associated to a Lorentz gas with variable density in a gravitational field.
- Source :
-
Stochastic Processes & Their Applications . Jan2018, Vol. 128 Issue 1, p79-107. 29p. - Publication Year :
- 2018
-
Abstract
- We investigate a random flight process approximation to a random scatterer Lorentz gas with variable scatterer density in a gravitational field. For power function densities we show how the parameters of the model determine recurrence or transience of the vertical component of the trajectory. Finally, our methods show that, with appropriate scaling of space, time and the density of obstacles, the trajectory of the particle converges to a diffusion with explicitly given parameters. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03044149
- Volume :
- 128
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Stochastic Processes & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 126897558
- Full Text :
- https://doi.org/10.1016/j.spa.2017.04.002