A minimal model of dynamical phase transition
arXiv:1611.07707 · doi:10.1209/0295-5075/116/50009
Abstract
We calculate the large deviation functions characterizing the long-time fluctuations of the occupation of drifted Brownian motion and show that these functions have non-analytic points. This provides the first example of dynamical phase transition that appears in a simple, homogeneous Markov process without an additional low-noise, large-volume or hydrodynamic scaling limit.
v1: 5 pages, 2 figures; v2: minor corrections, close to published version