Abstract
The residence time of a Brownian particle within a spatial domain is the total time it spends within this domain. It is shown that the residence time distribution can be calculated from the survival probability for a constant trapping rate inside the domain. This isomorphism is exploited to derive explicit relations for the distribution and its moments for a three-dimensional spherical domain. Results are verified by a Brownian dynamics simulation.
| Original language | English |
|---|---|
| Pages (from-to) | 3937-3947 |
| Number of pages | 11 |
| Journal | Physical Review E |
| Volume | 57 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1998 |