Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7550448 | Stochastic Processes and their Applications | 2018 | 29 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Krzysztof Burdzy, Douglas Rizzolo,