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arXiv · 1611.07707

A minimal model of dynamical phase transition

Pelerine Tsobgni Nyawo·Hugo Touchette
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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.

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Pelerine Tsobgni Nyawo, Hugo Touchette. 2016-11-23. A minimal model of dynamical phase transition. https://doi.org/10.1209/0295-5075%2F116%2F50009

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