Finite-temperature and finite-time scaling of the directed polymer free-energy with respect to its geometrical fluctuations

Abstract : We study the fluctuations of the directed polymer in 1+1 dimensions in a Gaussian random environment with a finite correlation length {\xi} and at finite temperature. We address the correspondence between the geometrical transverse fluctuations of the directed polymer, described by its roughness, and the fluctuations of its free-energy, characterized by its two-point correlator. Analytical arguments are provided in favor of a generic scaling law between those quantities, at finite time, non-vanishing {\xi} and explicit temperature dependence. Numerical results are in good agreement both for simulations on the discrete directed polymer and on a continuous directed polymer (with short-range correlated disorder). Applications to recent experiments on liquid crystals are discussed.
Type de document :
Article dans une revue
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2012, 86 (3), pp.031144. <10.1103/PhysRevE.86.031144>
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-00713432
Contributeur : Vivien Lecomte <>
Soumis le : mercredi 27 janvier 2016 - 09:17:33
Dernière modification le : jeudi 27 avril 2017 - 09:46:39
Document(s) archivé(s) le : jeudi 28 avril 2016 - 11:18:08

Fichier

pre_86_031144.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

Collections

UPMC | USPC | PMA

Citation

Elisabeth Agoritsas, Sebastian Bustingorry, Vivien Lecomte, Gregory Schehr, Thierry Giamarchi. Finite-temperature and finite-time scaling of the directed polymer free-energy with respect to its geometrical fluctuations. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2012, 86 (3), pp.031144. <10.1103/PhysRevE.86.031144>. <hal-00713432>

Partager

Métriques

Consultations de
la notice

125

Téléchargements du document

94