Volume 39, Number 2, July II 1997
|Page(s)||111 - 116|
|Published online||01 September 2002|
Dynamics of particles and manifolds in random force fields
Laboratoire de Physique Théorique
(Laboratoire Propre du CNRS, associé à l'Ecole
Normale Supérieure et à l'Université Paris-Sud.) ,
Ecole Normale Supérieure, 24 rue Lhomond, F-75231 Paris, France
2 Laboratoire de Physique Théorique des Liquides (Laboratoire associé au CNRS.) 4 Place Jussieu, F-75005 Paris, France
3 Groupe de Physico-Chimie Théorique, ESPCI, 10 rue Vauquelin, F-75231 Paris, France Dipartimento di Scienze Fisiche, Università Federico II, Mostra d'Oltremare Pad. 19, I-80125 Napoli, Italy
Accepted: 2 June 1997
We study the dynamics of a directed manifold of internal dimension D in a d-dimensional quenched random force field. We obtain an exact solution for and a Hartree approximation for finite d. They yield a Flory-like roughness exponent ζ and a nontrivial anomalous diffusion exponent ν continuously dependent on the ratio of divergence-free (gT) to potential (gL) disorder strength. For the particle (D=0) our results agree with previous order RG calculations. The time-translational invariant dynamics for smoothly crosses over to the previously studied ultrametric aging solution in the potential case.
PACS: 05.20.- y – Statistical mechanics
© EDP Sciences, 1997
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