Affiliation:
1. University of Cambridge
2. Technion – Israel Institute of Technology
3. Grenoble Alpes University
Abstract
We study the current large deviations for a lattice model of
interacting active particles displaying a motility-induced phase
separation (MIPS). To do this, we first derive the exact fluctuating
hydrodynamics of the model in the large system limit. On top of the
usual Gaussian noise terms the theory also presents Poissonian noise
terms, that we fully account for. We find a dynamical phase transition
between flat density profiles and sharply phase-separated traveling
waves, and we derive the associated phase diagram together with the
large deviation function for all phases, including the one displaying
MIPS. We show how the results can be obtained using methods similar to
those of equilibrium phase separation, in spite of the nonequilibrium
nature of the problem.
Funder
Agence Nationale de la Recherche
Centre National de la Recherche Scientifique
Israel Science Foundation
United States - Israel Binational Science Foundation
Subject
General Physics and Astronomy
Cited by
4 articles.
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