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Fick-Jacobs 1D Reduction

  • Leonardo Dagdug,
  • Jason Peña,
  • Ivan Pompa-García

摘要

In this chapter we present the theory developed to study diffusion under spatial confinement by means of one-dimensional reduction for quasi-one-dimensional systems. In this case, diffusion is controlled by both the fluctuation statistics of the jittering particles and the phase space available to their dynamics, by means of an entropic barrier. Earlier studies by Merkel H. Jacobs and Robert Zwanzig triggered renewed research on this subject.