A minimal model of dynamical phase transition
Statistical Mechanics
2017-02-03 v2
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.
Cite
@article{arxiv.1611.07707,
title = {A minimal model of dynamical phase transition},
author = {Pelerine Tsobgni Nyawo and Hugo Touchette},
journal= {arXiv preprint arXiv:1611.07707},
year = {2017}
}
Comments
v1: 5 pages, 2 figures; v2: minor corrections, close to published version