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From lattice-gas models to nonlinear diffusion models: A derivation of macroscopic equations and fluctuations

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We derive nonlinear diffusion equations and equations containing corrections due to fluctuations for a coarse-grained concentration field. To deal with diffusion coefficients with an explicit dependence on the concentration values, we generalize the Van Kampen method of expansion of the master equation to field variables. We apply these results to the derivation of equations of phase-separation dynamics and interfacial growth instabilities.

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Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevA.42.6234

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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From lattice-gas models to nonlinear diffusion models: A derivation of macroscopic equations and fluctuations