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.
Cited by 3
Agranov et al., Tricritical Behavior in Dynamical Phase Transitions
Phys. Rev. Lett. 131, 017102 (2023) [Crossref]
Jose et al., Current fluctuations in an interacting active lattice gas
J. Stat. Mech. 2023, 083208 (2023) [Crossref]
Smith, Nonequilibrium steady state of trapped active particles
Phys. Rev. E 108, L022602 (2023) [Crossref]
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 University of Cambridge
- 2 הטכניון – מכון טכנולוגי לישראל / Technion – Israel Institute of Technology
- 3 Université Grenoble Alpes / Grenoble Alpes University [UGA]
- Agence Nationale de la Recherche [ANR]
- Centre National de la Recherche Scientifique / French National Centre for Scientific Research [CNRS]
- Israel Science Foundation [ISF]
- United States - Israel Binational Science Foundation (through Organization: United States-Israel Binational Science Foundation [BSF])