Artículo
KPZ. Recent developments via a variational formulation
Fecha de publicación:
12/2013
Editorial:
Papers in Physics
Revista:
Papers in Physics
ISSN:
1852-4249
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Recently, a variational approach has been introduced for the paradigmatic Kardar–Parisi– Zhang (KPZ) equation. Here we review that approach, together with the functional Taylor expansion that the KPZ nonequilibrium potential (NEP) admits. Such expansion becomes naturally truncated at third order, giving rise to a nonlinear stochastic partial differential equation to be regarded as a gradient-flow counterpart to the KPZ equation. A dynamic renormalization group analysis at one-loop order of this new mesoscopic model yields the KPZ scaling relation α + z = 2, as a consequence of the exact cancelation of the different contributions to vertex renormalization. This result is quite remarkable, considering the lower degree of symmetry of this equation, which is in particular not Galilean invariant. In addition, this scheme is exploited to inquire about the dynamical behavior of the KPZ equation through a path-integral approach. Each of these aspects offers novel points of view and sheds light on particular aspects of the dynamics of the KPZ equation.
Palabras clave:
Kpz
,
Equation
,
Variational
,
Formulation
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Citación
Wio, Horacio Sergio; Deza, Roberto Raul; Escudero, Carlos Gabriel; Revelli, Jorge Alberto; KPZ. Recent developments via a variational formulation; Papers in Physics; Papers in Physics; 5; 2; 12-2013; 1-16; 050010
Compartir
Altmétricas