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Spatial and Temporal Noise Spectra of Spatially Extended Systems with Order-Disorder Phase Transitions

Kestutis Staliunas
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Abstract

The noise power spectra of spatially extended dynamical systems are investigated, using as a model the Complex Ginzburg-Landau equation with a stochastic term. Analytical and numerical investigations show that the spatial spectra of the ordered state are similar to Bose-Einstein distribution, showing 1/k^2 asymptotics in the long wavelength limit. The temporal noise spectra of the ordered state are obtained of 1/^alpha form, where alpha=2-D/2 with D the spatial dimension of the system.

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BibTeXRIS

Kestutis Staliunas. 2001-05-03. Spatial and Temporal Noise Spectra of Spatially Extended Systems with Order-Disorder Phase Transitions. https://doi.org/10.1142/s0218127401003966

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