INVESTIGADORES
REVELLI Jorge Alberto
artículos
Título:
KPZ. Recent developments via a variational formulation
Autor/es:
WIO, H. S; DEZA, R. R; ESCUDERO, C.; REVELLI, J. A
Revista:
Papers in Physics
Editorial:
R. Dickman
Referencias:
Año: 2013 p. 500010 - 500026
ISSN:
1852-4249
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 Taylorexpansion that the KPZ nonequilibrium potential (NEP) admits. Such expansion becomesnaturally truncated at third order, giving rise to a nonlinear stochastic partial di erentialequation to be regarded as a gradient-ow counterpart to the KPZ equation. A dynamicrenormalization group analysis at one-loop order of this new mesoscopic model yields theKPZ scaling relation + z = 2, as a consequence of the exact cancelation of the di erentcontributions to vertex renormalization. This result is quite remarkable, considering thelower 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 KPZequation through a path-integral approach. Each of these aspects o ers novel points ofview and sheds light on particular aspects of the dynamics of the KPZ equation.
