Large deviations of the empirical currents for a boundary-driven reaction diffusion model (Q1931319)

The authors consider a model that describes reaction diffusion equations by combining the symmetric simple exclusion process to a Glauber dynamics which models the annihilation and creation of particles. A well-known result on density hydrodynamic large deviations [\textit{G. Jona-Lasinio, C. Landim} and \textit{M. E. Vares}, Probab. Theory Relat. Fields 97, No. 3, 339--361 (1993; Zbl 0792.60096)] is generalized, by deriving the joint large deviations of the density and of the (conservative and nonconservative) currents flowing in the system.