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Reptation models for electrophoresis

Author

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  • Kooiman, A.
  • van Leeuwen, J.M.J.

Abstract

Recently constructed models for reptation such as the Rubinstein-Duke model are discussed in relation to electrophoresis. A full solution for the probability distribution for the steady state is given for the case of periodic boundary conditions. The model is modified by allowing only for single and double occupancy of the cells and for this case the drift velocity (diffusion coefficient) is calculated in lowest order of the driving electric field. The influence of the boundary condition is discussed.

Suggested Citation

  • Kooiman, A. & van Leeuwen, J.M.J., 1993. "Reptation models for electrophoresis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 163-172.
    • Handle: RePEc:eee:phsmap:v:194:y:1993:i:1:p:163-172
    DOI: 10.1016/0378-4371(93)90350-D
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    Cited by:

    1. Barkema, G.T. & Newman, M.E.J., 1997. "The repton model of gel electrophoresis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 25-39.
    2. Kolomeisky, Anatoly B. & Widom, B., 1996. "An invariance property of the repton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(1), pages 53-60.
    3. Prähofer, M. & Spohn, H., 1996. "Bounds on the diffusion constant for the Rubinstein-Duke model of electrophoresis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 191-207.

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