Noise-induced spatial patterns

By modifying the spatial coupling a la Swift-Hohenberg in the model introduced in Phys. Rev. Lett. 73 (1994) 3395, we obtain a system that displays noise-induced spatial patterns. We present a mean field theory of this phenomenon and verify some of its predictions by numerical simulations.

[1]  P. Hohenberg,et al.  Effects of additive noise at the onset of Rayleigh-Bénard convection. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[2]  Song,et al.  Tricriticality in the orientational phase diagram of stepped Si(113) surfaces. , 1994, Physical Review Letters.

[3]  Raúl Toral,et al.  Nonequilibrium phase transitions induced by multiplicative noise , 1997 .

[4]  M. Cross,et al.  Pattern formation outside of equilibrium , 1993 .

[5]  Van den Broeck C,et al.  Mean field model for spatially extended systems in the presence of multiplicative noise. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Van den Broeck C,et al.  Noise-induced nonequilibrium phase transition. , 1994, Physical review letters.

[7]  Sancho,et al.  Effects of external noise on the Swift-Hohenberg equation. , 1993, Physical review letters.