Coarse-graining and entropy production out of equilibrium

The problem of establishing how different coarse-graining procedures affect the law of generalized detailed balance and the rate of entropy production is addressed in the context of different models describing systems in stationary states out of equilibrium. The most microscopic descriptions involve Langevin dynamics, while the coarse-grained counterparts amount to Markov jump processes. The study has also the aim to validate and test procedures recently adopted for identifying non-equilibrium in active soft matter system. The work will involve both analytical and numerical work.