| Issue |
EPL
Volume 116, Number 5, December 2016
|
|
|---|---|---|
| Article Number | 50009 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/116/50009 | |
| 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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.