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From weak to strong pinning I: A finite size study

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Abstract.

We have used linear stability analysis to study the depinning of an elastic chain with long range interactions submitted to a random pinning potential. In this paper, we provide, for the first time, evidence of a pronounced change from a strong pinning regime to a weak pinning regime. This change depends on the strength of disorder, and takes place only in finite size systems. For a given disorder, we show a characteristic length separating the weak pinning regime from the strong pinning regime. This length depends on the long range of the algebraic decay of the elastic couplings. The weak pinning regime is very well described by perturbation theory. As an example, we discuss more specifically the case of wetting of heterogeneous surfaces, where the change from a strong to a weak pinning regime could be induced in the wetting front by varying the surface tension of the liquid-air interface.

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Authors and Affiliations

  1. Laboratoire de Physique de la Matière Condensée et des Nanostructures, Université de Lyon I, 43 boulevard du 11 Novembre 1918, 69622, Villeurbanne, France

    A. Tanguy & T. Vettorel

Authors
  1. A. Tanguy
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  2. T. Vettorel
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Correspondence to A. Tanguy.

Additional information

Received: 12 September 2003, Published online: 20 April 2004

PACS:

05.10.-a Computational methods in statistical physics and nonlinear dynamics - 68.08.Bc Wetting - 02.50.Fz Stochastic analysis

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Tanguy, A., Vettorel, T. From weak to strong pinning I: A finite size study. Eur. Phys. J. B 38, 71–82 (2004). https://doi.org/10.1140/epjb/e2004-00101-6

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