  The out-of-equilibrium character of active particles, responsible for
accumulation at boundaries in confining domains, determines not-trivial effects
when considering escape processes. Non-monotonous behavior of exit times with
respect to tumbling rate (inverse of mean persistent time) appears, as a
consequence of the competing processes of exploring the bulk and accumulate at
boundaries. By using both 1D analytical results and 2D numerical simulations of
run-and-tumble particles with different behaviours at boundaries, we scrutinize
this very general phenomenon of active matter, evidencing the role of
accumulation at walls for the existence of optimal tumbling rates for fast
escapes.
