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Self-diffusion beyond Fick's law

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  • de Schepper, I.M.
  • Ernst, M.H.

Abstract

The Van Hove self-correlation function, the intermediate incoherent scattering function and its Laplace transform are determined asymptotically for a one component fluid in equilibrium, using the mode coupling theory. The results reproduce in the hydrodynamic limit the predictions from Fick's law. The corrections to Fick's law are consistent with a long time tail in the velocity correlation function and with a diverging super Burnett coefficient in the linear diffusion equation.

Suggested Citation

  • de Schepper, I.M. & Ernst, M.H., 1979. "Self-diffusion beyond Fick's law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 189-214.
    • Handle: RePEc:eee:phsmap:v:98:y:1979:i:1:p:189-214
    DOI: 10.1016/0378-4371(79)90173-0
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    1. Samuel Oppenheim, 1973. "The supreme economic council 1917–21," Europe-Asia Studies, Taylor & Francis Journals, vol. 25(1), pages 3-27.
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