INVESTIGADORES
BUCETA Ruben Carlos
artículos
Título:
Generalized discretization of the Kardar-Parisi-Zhang equation
Autor/es:
R. C. BUCETA
Revista:
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Editorial:
The American Physical Society
Referencias:
Lugar: Nueva York; Año: 2005 vol. 72 p. 177011 - 177014
ISSN:
1063-651X
Resumen:
We report the generalized spatial discretization of the Kardar-Parisi-Zhang (KPZ) equation in 1+1 dimensions. We solve exactly the steady state probability density function for the discrete heights of the interface, for any discretization scheme. We show that the discretization prescription is a consequence of each particular model. We derive the discretization prescription of the KPZ equation for the ballistic deposition model.