A First-Order Dynamical Transition in the displacement distribution of a Driven Run-and-Tumble Particle

Giacomo Gradenigo, Satya N. Majumdar

We study the probability distribution $P(X_N=X,N)$ of the total displacement $X_N$ of an $N$-step run and tumble particle on a line, in presence of a constant nonzero drive $E$. Wh…