Dynamical phase transitions and their first-order features in the Large Deviations of non-interacting Run-and-Tumble particles in one dimension
by
Giacomo Gradenigo(Univ. Grenoble Alpes)
→
Europe/Rome
Aula VIII (Dipartimento di Fisica - Ed E. Fermi)
Aula VIII
Dipartimento di Fisica - Ed E. Fermi
Description
I present here the study of the probability distribution for the
trajectories of non interacting Run-and-Tumble particles in one dimension,
either free or accelerated by a constant field. The behaviour of the tails
of this distribution,which are stretched exponentials,is an example of
constraint-driven condensation, a phenomenon where the probability of the
whole trajectory is governed by the probability of the single event.In
particular, here I present the analytical and numerical evidence that the
crossover from the "normal" to the "condensed" phase is related to a jump in
the derivative of the rate function, which is the analog of free-energy for
dynamical phase transitions, and hence the "first-order" nature of the
transition.
