Noise-Driven Mechanism for Pattern Formation

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...

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Hauptverfasser: Buceta Fernández, Javier, Ibañes Miguez, Marta, Sancho, José M, Lindenberg, Katja
Format: Artikel
Sprache:eng
Schlagworte:
Differentiable dynamical systems
Dinàmica de fluids
Fluid dynamics
Física estadística
Sistemes dinàmics diferenciables
Statistical physics
Termodinàmica
Thermodynamics
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Zusammenfassung: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.
DOI:10.1103/PhysRevE.67.021113