A first-order dynamical transition in the displacement distribution of a driven run-and-tumble particle

We present here a revised version of the appendices of Gradenigo and Majumdar (2019 J. Stat. Mech. 053206). Some minor corrections are introduced and a new simplified argument to obtain the critical value of rc, the control parameter for the transition, is presented. The overall scenario and the description of the transition mechanism depicted in Gradenigo and Majumdar (2019 J. Stat. Mech. 053206) remains completely untouched, the only relevant dierence being the value of rc fixed to rc = 21/3 = 1.259 92 ... rather than rc = 1.3805 .... This dierence also implies a small quantitative changes in figures 2 and 4; a new version of both figures is reported here. A couple of other typos discovered in the paper are pointed out and the correct version of the expressions are reported.