2-loop Functional Renormalization for elastic manifolds pinned by disorder in N dimensions - Université Pierre et Marie Curie Accéder directement au contenu
Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2005

2-loop Functional Renormalization for elastic manifolds pinned by disorder in N dimensions

Résumé

We study elastic manifolds in a N-dimensional random potential using functional RG. We extend to N>1 our previous construction of a field theory renormalizable to two loops. For isotropic disorder with O(N) symmetry we obtain the fixed point and roughness exponent to next order in epsilon=4-d, where d is the internal dimension of the manifold. Extrapolation to the directed polymer limit d=1 allows some handle on the strong coupling phase of the equivalent N-dimensional KPZ growth equation, and eventually suggests an upper critical dimension of about 2.5.

Dates et versions

hal-00172149 , version 1 (14-09-2007)

Identifiants

Citer

Pierre Le Doussal, Kay Joerg Wiese. 2-loop Functional Renormalization for elastic manifolds pinned by disorder in N dimensions. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2005, 72, pp.035101. ⟨10.1103/PhysRevE.72.035101⟩. ⟨hal-00172149⟩
37 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More