Abstract
We study the hydrodynamic behavior of a one-dimensional nearest neighbor gradient system with respect to a positive convex potential Φ. In the hydrodynamic limit the density distribution is shown to evolve according to the nonlinear diffusion equation δρ,(q)/δt= (δ2/dq2){F([1/ρ1(q)]), with F= −Φ.
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Mürmann, M.G. The hydrodynamic limit of a one-dimensional nearest neighbor gradient system. J Stat Phys 48, 769–788 (1987). https://doi.org/10.1007/BF01019696
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DOI: https://doi.org/10.1007/BF01019696