Collective patterns arising out of spatio-temporal chaos

Shin-ichi Sasa

doi:10.1063/1.166169

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arXiv · chao-dyn/9504006

Collective patterns arising out of spatio-temporal chaos

Shin-ichi Sasa

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Abstract

We present a simple mathematical model in which a time averaged pattern emerges out of spatio-temporal chaos as a result of the collective action of chaotic fluctuations. Our evolution equation possesses spatial translational symmetry under a periodic boundary condition. Thus the spatial inhomogeneity of the statistical state arises through a spontaneous symmetry breaking. The transition from a state of homogeneous spatio-temporal chaos to one exhibiting spatial order is explained by introducing a collective viscosity which relates the averaged pattern with a correlation of the fluctuations.

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Shin-ichi Sasa. 1995-04-10. Collective patterns arising out of spatio-temporal chaos. https://doi.org/10.1063/1.166169

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