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Bounding and estimating entropy production has long been an important goal ofnonequilibrium thermodynamics. We recently derived a lower bound on the totaland subsystem entropy production rates of continuous stochastic systems. This`Jensen bound' has led to fundamental limits on the performance of collectivetransport systems and permitted thermodynamic inference of free-energytransduction between components of bipartite molecular machines. Our originalderivation relied on a number of assumptions, which restricted the bound'sregime of applicability. Here we derive the Jensen bound far more generally formultipartite overdamped Langevin dynamics. We then consider several extensions,allowing for position-dependent diffusion coefficients, underdamped dynamics,and non-multipartite overdamped dynamics. Our results extend the Jensen boundto a far broader class of systems.

Jensen bound for the entropy production rate in stochastic thermodynamics