Drift-diffusion processes resulting from elimination of fast variables under inhomogeneous conditions

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Abstract

The problem of eliminating fast-relaxing variables to obtain an effective diffusion process in position is solved in a uniform and straightforward way for models with velocity a function jointly of position and fast variables. A more unified view is thereby obtained of the effect of environmental inhomogeneity on the motion of a diffusing particle, in particular, whether a drift is induced, covering both passive and active particles. Infinitesimal generators (equivalently, drift-diffusion fields) for the contracted processes are worked out in detail for several models.

Original languageEnglish (US)
Article number052103
JournalPhysical Review E
Volume100
Issue number5
DOIs
Publication statusPublished - Nov 4 2019

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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