Single file ion diffusion and the schmoluchowski equation

Gabor Kemeny, Joseph P. Straley, Katherine A. Strong

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The Schmoluchowski equation is introduced into the problem of single file ion diffusion in a channel. The ions mutually interact due to coulomb repulsion and are also subject to a single ion potential due to the channel. The positions of the ions are represented by a continuous co-ordinate. The problem is reduced to the solution of a pair of transfer integral equations. The resistivity of finite and infinite channels is calculated for various dielectric constants and mean ionic separations. The ionic density for finite channels is also calculated. The results clearly demonstrate that strong coulomb interaction leads to a co-operative motion of the ions across channels.

Original languageEnglish
Pages (from-to)231-247
Number of pages17
JournalJournal of Theoretical Biology
Issue number2
StatePublished - Mar 21 1981

Bibliographical note

Funding Information:
This work was partially supported by NSF through grant DMR 78-27023. like to thank the Department of Physics of Michigan State University hospitality.

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


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