State selection in the noisy stabilized Kuramoto-Sivashinsky equation

D. Obeid, J. M. Kosterlitz, and B. Sandstede

Phys. Rev. E 81, 066205 – Published 9 June 2010

Abstract

In this work, we study the one-dimensional stabilized Kuramoto Sivashinsky equation with additive uncorrelated stochastic noise. The Eckhaus stable band of the deterministic equation collapses to a narrow region near the center of the band. This is consistent with the behavior of the phase diffusion constants of these states. Some connections to the phenomenon of state selection in driven out of equilibrium systems are made.

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Received 2 February 2010

DOI:https://doi.org/10.1103/PhysRevE.81.066205

Authors & Affiliations

D. Obeid^1,*, J. M. Kosterlitz^1,3,†, and B. Sandstede^2,‡

¹Department of Physics, Brown University, Providence, Rhode Island 02912, USA
²Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA
³School of Computational Sciences, Korea Institute for Advanced Study, 207-43 Cheongryangni-2Dong, Dongdaemun-gu, Seoul 130-722, Korea

^*dina_obeid@brown.edu
^†mikekost@het.brown.edu
^‡Bjorn_Sandstede@brown.edu

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Issue

Vol. 81, Iss. 6 — June 2010

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