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Pinning of a rough interface by an external potential

Author

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  • van Leeuwen, J.M.J.
  • Hilhorst, H.J.

Abstract

An analysis is given of the behavior of an interface between two phases in the presence of an external pinning potential in the solid-on-solid limit of the two-dimensional Ising model. It is found that the potential turns a rough interface into a smooth one, except in the case of a boundary potential, where a minimum potential strength is required. The connection with the roughening transition found by Abraham is discussed. The interface width is calculated as a function of the potential parameters in the limit of a weak pining potential.

Suggested Citation

  • van Leeuwen, J.M.J. & Hilhorst, H.J., 1981. "Pinning of a rough interface by an external potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(2), pages 319-329.
    • Handle: RePEc:eee:phsmap:v:107:y:1981:i:2:p:319-329
    DOI: 10.1016/0378-4371(81)90092-3
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    Cited by:

    1. Ferrari, Pablo A. & Martínez, Servet, 1998. "Hamiltonians on random walk trajectories," Stochastic Processes and their Applications, Elsevier, vol. 78(1), pages 47-68, October.
    2. Isozaki, Yasuki & Yoshida, Nobuo, 2001. "Weakly pinned random walk on the wall: pathwise descriptions of the phase transition," Stochastic Processes and their Applications, Elsevier, vol. 96(2), pages 261-284, December.
    3. Caputo, P. & Velenik, Y., 2000. "A note on wetting transition for gradient fields," Stochastic Processes and their Applications, Elsevier, vol. 87(1), pages 107-113, May.
    4. De Coninck, Joël & Dunlop, François & Huillet, Thierry, 2009. "Random walk versus random line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4034-4040.

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