The Entropy Anomaly and the Linear Irreversible Thermodynamics

The irreversible currents and entropy production rate of a dilute colloidal suspension are calculated using the linear irreversible thermodynamics and the linear response theory. The \anomalous" or \hidden" entropy recently discussed in the context of the stochastic thermodynamics is fully accounted in these classic frameworks. We show that the two distinct formulations lead to identical results as long as the local equilibrium assumption or, equivalently the linear response theory, is valid.