Numerical Calculation of the Functional renormalization group fixed-point functions at the depinning transition - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2007

Numerical Calculation of the Functional renormalization group fixed-point functions at the depinning transition

Résumé

We compute numerically the sequence of successive pinned configurations of an elastic line pulled quasi-statically by a spring in a random bond (RB) and random field (RF) potential. Measuring the fluctuations of the center of mass of the line allows to obtain the functional renormalization group (FRG) functions at the depinning transition. The universal form of the second cumulant Delta(u) is found to have a linear cusp at the origin, to be identical for RB and RF, different from the statics, and in good agreement with 2-loop FRG. The cusp is due to avalanches, which we visualize. Avalanches also produce a cusp in the third cumulant, whose universal form is obtained, as predicted by FRG.

Dates et versions

hal-00172133 , version 1 (14-09-2007)

Identifiants

Citer

Alberto Rosso, Pierre Le Doussal, Kay Joerg Wiese. Numerical Calculation of the Functional renormalization group fixed-point functions at the depinning transition. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2007, 75, pp.22020a. ⟨10.1103/PhysRevB.75.220201⟩. ⟨hal-00172133⟩
137 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More