Mode-coupling theory for purely diffusive systems |
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Authors: | Henk van Beijeren |
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Affiliation: | (1) Institut für Theoretische Physik A, RWTH Aachen, Templergraben 55, 5100 Aachen, West Germany |
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Abstract: | A mode-coupling formalism is developed for multicomponent systems of particles performing diffusive motion in a uniform host medium. The mode-coupling equations are derived from a set of nonlinear fluctuating diffusion equations by expanding the concentration-dependent diffusion constants about their equilibrium values. From the mode-coupling equations the dominant long time behavior of current-current and super-Burnett correlation functions is derived. As specific applications I consider the long time behaviors of these correlation functions for collective and tracer diffusion in a one-component lattice gas with particle-conserving stochastic dynamics. The results agree with those from exactly solvable models and computer simulations. |
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Keywords: | Mode-coupling equations diffusion long time tails Kawasaki dynamics |
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