Macroscopic fluctuation theory and current fluctuations in active lattice gases

We study the current large deviations for a lattice model of interacting active particles displaying motility-induced phase separation (MIPS). To do this, we first derive exact fluctuating hydrodynamics in system limit. On top usual Gaussian noise terms theory also presents Poissonian terms, that fully account for. find dynamical transition between flat density profiles and sharply phase-separated traveling waves, associated diagram together with deviation function all phases, including one MIPS. show how results can be obtained using methods similar to those equilibrium separation, spite nonequilibrium nature problem.