Noise-driven mechanism for pattern formation.
We extend the mechanism for noise-induced phase transitions proposed by Ibañes et al. [Phys. Rev. Lett. 87, 020601 (2001)] to pattern formation phenomena. In contrast with known mechanisms for pure noise-induced pattern formation, this mechanism is not driven by a short-time instability amplified by collective effects. The phenomenon is analyzed by means of a modulated mean field approximation and numerical simulations.
Buceta
J
J
Department of Chemistry and Biochemistry, and Institute for Nonlinear Science, University of California, 9500 Gilman Drive, La Jolla, California 92092-0340, USA.
Ibañes
M
M
Sancho
J M
JM
Lindenberg
Katja
K