Phase diagram and density large deviations of a nonconserving ABC model

摘要

The effect of particle-nonconserving processes on the steady state of drivendiffusive systems is studied within the context of a generalized ABC model. Itis shown that in the limit of slow nonconserving processes, the large deviationfunction of the overall particle density can be computed by making use of thesteady state density profile of the conserving model. In this limit one candefine a chemical potential and identify first order transitions via Maxwell'sconstruction, similarly to what is done in equilibrium systems. This method maybe applied to other driven models subjected to slow nonconserving dynamics.