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KPZ equation: Galilean-invariance violation, consistency, and fluctuation-dissipation issues in real-space discretization

AuthorsWio, Horacio S. ; Revelli, Jorge A.; Deza, R. R.; Escudero, Carlos; Lama, M. S. de la
Issue DateFeb-2010
PublisherInstitute of Physics Publishing
CitationEPL 89(4): 40008 (2010)
AbstractStrong constraints are drawn for the choice of real-space discretization schemes, using the known fact that the KPZ equation results from a diffusion equation (with multiplicative noise) through a Hopf-Cole transformation. Whereas the nearest-neighbor discretization passes the consistency tests, known examples in the literature do not. We emphasize the importance of the Lyapunov functional as natural starting point for real-space discretization and, in the light of these findings, challenge the mainstream opinion on the relevance of Galilean invariance.
Description6 páginas, 1 figura.-- El pdf del artículo es la versión pre-print.
Publisher version (URL)http://dx.doi.org/10.1209/0295-5075/89/40008
Appears in Collections:(IFCA) Artículos
(ICMAT) Artículos
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