The nearest neighbor gradient system. A rigorous model for a version of the minimal entropy production principle
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We prove that a version of the minimal entropy production principle holds rigorously for the nearest neighbor gradient system, whose hydrodynamic behavior we treated in an earlier paper, and study its relation to the macroscopic mass current and local equilibrium of higher order.
Key wordsMinimal entropy production nearest neighbor gradient system macroscopic mass current nonlinear diffusion
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