A reversible mesoscopic model of diffusion in liquids: from giant fluctuations to Fick’s law

@article{Donev2014ARM,
  title={A reversible mesoscopic model of diffusion in liquids: from giant fluctuations to Fick’s law},
  author={A. Donev and T. Fai and E. Vanden-Eijnden},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2014},
  volume={2014},
  pages={04004}
}
  • A. Donev, T. Fai, E. Vanden-Eijnden
  • Published 2014
  • Physics
  • Journal of Statistical Mechanics: Theory and Experiment
  • We study diffusive mixing in the presence of thermal fluctuations under the assumption of large Schmidt number. In this regime we obtain a limiting equation that contains a diffusive stochastic drift term with diffusion coefficient obeying a Stokes–Einstein relation, in addition to the expected advection by a random velocity. The overdamped limit correctly reproduces both the enhanced diffusion in the ensemble-averaged mean and the long-range correlated giant fluctuations in individual… CONTINUE READING

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