title: Statics and dynamics of elastic manifolds in media with long-range correlated disorder.
abstract: We study the statics and dynamics of an elastic manifold in a disordered medium with quenched defects correlated as approximately r{-a} for large separation r. We derive the functional renormalization-group equations to one-loop order, which allow us to describe the universal properties of the system in equilibrium and at the depinning transition. Using a double epsilon=4-d and delta=4-a expansion we compute the fixed points characterizing different universality classes and analyze their regions of stability. The long-range disorder-correlator remains analytic but generates short-range disorder whose correlator exhibits the usual cusp. The critical exponents and universal amplitudes are computed to first order in epsilon and delta at the fixed points. At depinning, a velocity-versus-force exponent beta larger than unity can occur. We discuss possible realizations using extended defects.
authors.affiliation: CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris, France.
authors.forename: Andrei A
authors.initials: AA
authors.lastname: Fedorenko
authors.forename: Pierre
authors.initials: P
authors.lastname: Le Doussal
authors.forename: Kay Jörg
authors.initials: KJ
authors.lastname: Wiese