Interplay between Noise and boundary conditions in Pattern Formation in Adsorbed Substances

S. E. MANGIONI; H. S. WIO

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

American Physical Society

Año: 2005 vol. 71 p. 562031 - 562037

1063-651X

We have studied the interplay between noise  and boundary conditions on the possibility of noise induced pattern formation. With this aim, we have exploited a deterministic model for pattern formation in adsorbed substances--including the effect of lateralinteractions-- used to describe the phenomenon of adsorption insurfaces, where a multiplicative noise fulfilling afluctuation-dissipation relation was added. We have found solutions for different boundary conditions corresponding to two stable and one unstable patternspurely induced by the multiplicative noise.