Stationary and Oscillatory Spatial Patterns Induced by Global Periodic Switching

Details Stationary and Oscillatory Spatial Patterns Induced by Global Periodic Switching Stationary and Oscillatory Spatial Patterns Induced by Global Periodic Switching

2001-10-25

arxiv.org/abs/cond-mat/0110542v1

Physics

Condensed Matter

Statistical Mechanics

REVTEX preprint: 12 pages including 1 (B&W) + 3 (COLOR) figures (to appear in Physical Review Letters)

Scientific paper

10.1103/PhysRevLett.88.024103

We propose a new mechanism for pattern formation based on the global alternation of two dynamics neither of which exhibits patterns. When driven by either one of the separate dynamics, the system goes to a spatially homogeneous state associated with that dynamics. However, when the two dynamics are globally alternated sufficiently rapidly, the system exhibits stationary spatial patterns. Somewhat slower switching leads to oscillatory patterns. We support our findings by numerical simulations and discuss the results in terms of the symmetries of the system and the ratio of two relevant characteristic times, the switching period and the relaxation time to a homogeneous state in each separate dynamics.

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