Treffer: Crossover to the KPZ Equation
Title:
Crossover to the KPZ Equation
Authors:
Source:
Annales Henri Poincaré. 13(4):813-826
Publisher Information:
Heidelberg: Springer, 2012.
Publication Year:
2012
Physical Description:
print, 24 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Physics, Physique, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Asymétrie, Asymmetry, Calcul 1 dimension, One-dimensional calculations, Courant, Currents, Equation énergie, Energy equation, Ecuación energía, Estimation densité, Density estimation, Estimación densidad, Physique mathématique, Mathematical physics, 58A25, Mesure asymétrie, Skewness measure, Processus exclusion asymétrique, Asymmetric exclusion process, Solution équation
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
CMAT Centro de Matematica da Universidade do Minho Campus de Gualtar, 4710-057 Braga, Portugal
IMPA, Instituto Nacional de Matematica Pura e Aplicada Estrada Dona Castorina 110 Jardim Botanico, 22460-320 Rio de Janeiro, Brazil
Ceremade, UMR CNRS 7534 Université Paris, Dauphine Place du Maréchal De Lattre De Tassigny, 75775 Paris, France
IMPA, Instituto Nacional de Matematica Pura e Aplicada Estrada Dona Castorina 110 Jardim Botanico, 22460-320 Rio de Janeiro, Brazil
Ceremade, UMR CNRS 7534 Université Paris, Dauphine Place du Maréchal De Lattre De Tassigny, 75775 Paris, France
ISSN:
1424-0637
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.25816538
Database:
PASCAL Archive
Weitere Informationen
We characterize the crossover regime to the KPZ equation for a class of one-dimensional weakly asymmetric exclusion processes. The crossover depends on the strength asymmetry an2―γ (α, γ > 0) and it occurs at γ = 1/2. We show that the density field is a solution of an Ornstein-Uhlenbeck equation if γ E (1/2,1], while for γ = 1/2 it is an energy solution of the KPZ equation. The corresponding crossover for the current of particles is readily obtained.