Solvable Examples of Drift and Diffusion of Ions in Non-uniform Electric Fields

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The drift and diffusion of a cloud of ions in a fluid are distorted by an inhomogeneous electric field. If the electric field carries the center of the distribution in a straight line and the field configuration is suitably symmetric, the distortion can be calculated analytically. We examine the specific examples of fields with cylindrical and spherical symmetry in detail assuming the ion distributions to be of a generally Gaussian form. The effects of differing diffusion coefficients in the transverse and longitudinal directions are included.

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Cahn, Robert; Cahn, Robert N. & Jackson, John David May 30, 2008.

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The drift and diffusion of a cloud of ions in a fluid are distorted by an inhomogeneous electric field. If the electric field carries the center of the distribution in a straight line and the field configuration is suitably symmetric, the distortion can be calculated analytically. We examine the specific examples of fields with cylindrical and spherical symmetry in detail assuming the ion distributions to be of a generally Gaussian form. The effects of differing diffusion coefficients in the transverse and longitudinal directions are included.

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17

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  • Journal Name: Journal of Instrumentation

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  • Report No.: LBNL-390E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 934481
  • Archival Resource Key: ark:/67531/metadc897167

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Office of Scientific & Technical Information Technical Reports

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  • May 30, 2008

Added to The UNT Digital Library

  • Sept. 27, 2016, 1:39 a.m.

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  • Oct. 3, 2016, 2:22 p.m.

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Cahn, Robert; Cahn, Robert N. & Jackson, John David. Solvable Examples of Drift and Diffusion of Ions in Non-uniform Electric Fields, article, May 30, 2008; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc897167/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.