Volume 116, Number 5, December 2016
|Number of page(s)||5|
|Published online||01 February 2017|
A minimal model of dynamical phase transition
1 Institute of Theoretical Physics, Department of Physics, University of Stellenbosch Stellenbosch 7600, South Africa
2 National Institute for Theoretical Physics (NITheP) - Stellenbosch 7600, South Africa
Received: 25 November 2016
Accepted: 11 January 2017
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.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 64.70.qd – Thermodynamics and statistical mechanics
© EPLA, 2016
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