Abstract:
We study the escape behavior of Run and Tumble particles from confining potentials in the presence of non-Gaussian noise using the MSR path integral formalism. We define a weak noise limit and find the most probable escape path by solving the corresponding Hamilton's equations and by path based optimization using the Geometric Minimum Action method. We find that the escape rate is enhanced exponentially with non-Gaussian noise. It is seen that even in the weak noise limit, the optimal escape path shows run and tumble behavior for some types of non-Gaussian noise. Finally, we briefly describe an activity induced phase transition.