Smoluchowski flux and Lamb-Lion Problems for Random Walks and Lévy Flights with a Constant Drift

Satya N. Majumdar, Philippe Mounaix, Gregory Schehr

We consider non-interacting particles (or lions) performing one-dimensional random walks or Lévy flights (with Lévy index $1<\mu \le 2$) in the presence of a constant drift $c$. In…