Effects of bulk diffusion on interfacial dynamics
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We study the influence of bulk diffusion on the dynamics of an interface in the two-phase region of two component systems. We establish a set of equations of motion describing capillary waves and their coupling to a slow diffusion mode in the bulk. Valid for the general case of density dependent bulk diffusion coefficients, these equations are both non-local and non-linear. The nonlinearity is a realization of the full Galilean symmetry associated with the system. Studying the dispersion relations for the linear regime, we find a significant difference between systems with Ising symmetry and those without.
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