Transition path dynamics for one-dimensional run and tumble particle

We study transition path properties such as the transient probability density, transition path time and its distribution, splitting probability, coefficient of variation, and the transition path shape of active run and tumble particles for unconstrained motion. In particular, we provide the theoretical description of the transition path properties using forward and backward master equations. The theoretical results are supported by Monte Carlo simulations. In particular, we prove that the system dynamics do not feature a symmetry breaking in the transition path properties for the case of run and tumble particles considered here. The symmetry of the transition path properties is shown to emerge for variations of the particle tumbling rate, particle speed, and transition path region.