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Pré-Publication, Document De Travail Année : 2021

Microscopic interplay of temperature and disorder of a 1D elastic interface

Nirvana Caballero
  • Fonction : Auteur
Thierry Giamarchi
  • Fonction : Auteur
Elisabeth Agoritsas
  • Fonction : Auteur

Résumé

We compute numerically the roughness of a one-dimensional elastic interface subjected to both thermal fluctuations and a quenched disorder with a finite correlation length. We evidence the existence of a novel power-law regime, at short lengthscales, resulting from the microscopic interplay between thermal fluctuations and disorder. We determine the corresponding exponent $\zeta_\text{dis}$ and find compelling numerical evidence that, contrarily to available (variational or perturbative) analytic predictions, one has $\zeta_\text{dis} < 1$. We discuss the consequences on the temperature dependence of the roughness and the connection with the asymptotic random-manifold regime at large lengthscales. We also discuss the implications of our findings for other systems such as the Kardar-Parisi-Zhang equation.

Dates et versions

hal-03455613 , version 1 (29-11-2021)

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Nirvana Caballero, Thierry Giamarchi, Vivien Lecomte, Elisabeth Agoritsas. Microscopic interplay of temperature and disorder of a 1D elastic interface. 2021. ⟨hal-03455613⟩
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