Stripe formation in differentially forced binary systems
We consider pattern formation in periodically forced binary systems. In particular, we focus on systems in which two species are differentially forced, one being accelerated with respect to the other. Using a continuum model consisting of two isothermal ideal gases which interact via a frictional fo...
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| Natura: | Journal article |
| Lingua: | English |
| Pubblicazione: |
American Physical Society
2004
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| Riassunto: | We consider pattern formation in periodically forced binary systems. In particular, we focus on systems in which two species are differentially forced, one being accelerated with respect to the other. Using a continuum model consisting of two isothermal ideal gases which interact via a frictional force we demonstrate analytically that stripes form spontaneously above a critical forcing amplitude. The wavelength of the stripes is found to be close to the wavelength of sound in the limit of small viscosity. The results are confirmed numerically. We suggest that the same mechanism may contribute to the formation of stripes in experiments on horizontally oscillated granular mixtures. |
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