Effect of disorder geometry on the critical force in disordered elastic systems

Abstract : We address the effect of disorder geometry on the critical force in disordered elastic systems. We focus on the model system of a long-range elastic line driven in a random landscape. In the collective pinning regime, we compute the critical force perturbatively. Not only does our expression for the critical force confirm previous results on its scaling with respect to the microscopic disorder parameters, but it also provides its precise dependence on the disorder geometry (represented by the disorder two-point correlation function). Our results are successfully compared with the results of numerical simulations for random field and random bond disorders.
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https://hal.archives-ouvertes.fr/hal-00913075
Contributeur : Vivien Lecomte <>
Soumis le : mardi 3 décembre 2013 - 11:12:57
Dernière modification le : jeudi 9 février 2017 - 16:06:39

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Vincent Démery, Vivien Lecomte, Alberto Rosso. Effect of disorder geometry on the critical force in disordered elastic systems. Journal of Statistical Mechanics, 2014, 2014 (03), pp.P03009. <http://stacks.iop.org/JSTAT/2014/P03009>. <10.1088/1742-5468/2014/03/P03009>. <hal-00913075>

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