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Depinning transitions in elastic strings

2011/08/08 by Soumyajyoti Biswas, Bikas K. Chakrabarti, Biswas, Soumyajyoti +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1108.1707

openalex publication_date 2011/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the depinning transitions of elastic strings in disordered media in two different cases. We consider the elastic forces to be of infinite range in one case, where the magnitude is proportional to the extension of the string. The critical points and elastic behavior can be estimated to some extent in this case. The exponents are estimated numerically and scaling relations are found to be obeyed. We have also considered a model where the elastic force is constant in magnitude. The critical points can again be argued and the critical exponents are numerically estimated. The scaling relations are well obeyed. Both of these models do not fall into known universality classes.

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