Survival probability and position distribution of a run and tumble particle in $U(x)=\alpha |x|$ potential with an absorbing boundary

Sujit Kumar Nath, Sanjib Sabhapandit

We study the late time exponential decay of the survival probability $S_{\pm }(t,a|x_0)\sim e^{-\theta (a)t}$, of a one-dimensional run and tumble particle starting from $x_0<a$ with an ini…