Run-and-tumble particles, telegrapher's equation and absorption problems   with partially reflecting boundaries
  Absorption problems of run-and-tumble particles, described by the telegrapher's equation, are analyzed in one space dimension considering partially reflecting boundaries. Exact expressions for the probability distribution function in the Laplace domain and for the mean time to absorption are given, discussing some interesting limits (Brownian and wave limit, large volume limit) and different case studies (semi-infinite segment, equal and symmetric boundaries, totally/partially reflecting boundaries). 
Luca Angelani
cond-mat.stat-mech cond-mat.soft