Title:
Phase bubbles and spatiotemporal chaos in granular patterns
Phase bubbles and spatiotemporal chaos in granular patterns
| dc.contributor.author | Moon, Sung Joon | en_US |
| dc.contributor.author | Shattuck, M. D. | en_US |
| dc.contributor.author | Bizon, C. | en_US |
| dc.contributor.author | Goldman, Daniel I. | en_US |
| dc.contributor.author | Swift, J. B. | en_US |
| dc.contributor.author | Swinney, Harry L. | en_US |
| dc.contributor.corporatename | Georgia Institute of Technology. School of Physics | en_US |
| dc.contributor.corporatename | University of Texas at Austin. Center for Nonlinear Dynamics | en_US |
| dc.contributor.corporatename | University of Texas at Austin. Dept. of Physics | en_US |
| dc.contributor.corporatename | Northwest Research Associates. Colorado Research Associates Division | en_US |
| dc.date.accessioned | 2012-08-29T19:02:39Z | |
| dc.date.available | 2012-08-29T19:02:39Z | |
| dc.date.issued | 2001-12-04 | |
| dc.description | © 2001 The American Physical Society | en_US |
| dc.description | The electronic version of this article is the complete one and can be found online at: http://link.aps.org/doi/10.1103/PhysRevE.65.011301| DOI: 10.1103/PhysRevE.65.011301 | en_US |
| dc.description.abstract | We use inelastic hard sphere molecular dynamics simulations and laboratory experiments to study patterns in vertically oscillated granular layers. The simulations and experiments reveal that phase bubbles spontaneously nucleate in the patterns when the container acceleration amplitude exceeds a critical value, about 7g, where the pattern is approximately hexagonal, oscillating at one-fourth the driving frequency (f/4). A phase bubble is a localized region that oscillates with a phase opposite (differing by π) to that of the surrounding pattern; a localized phase shift is often called an arching in studies of two-dimensional systems. The simulations show that the formation of phase bubbles is triggered by undulation at the bottom of the layer on a large length scale compared to the wavelength of the pattern. Once formed, a phase bubble shrinks as if it had a surface tension, and disappears in tens to hundreds of cycles. We find that there is an oscillatory momentum transfer across a kink, and the shrinking is caused by a net collisional momentum inward across the boundary enclosing the bubble. At increasing acceleration amplitudes, the patterns evolve into randomly moving labyrinthian kinks (spatiotemporal chaos). We observe in the simulations that f/3 and f/6 subharmonic patterns emerge as primary instabilities, but that they are unstable to the undulation of the layer. Our experiments confirm the existence of transient f/3 and f/6 patterns. | en_US |
| dc.identifier.citation | Sung Joon Moon, M. D. Shattuck, C. Bizon, Daniel I. Goldman, J. B. Swift, Harry L. Swinney, "Phase bubbles and spatiotemporal chaos in granular patterns,” Physical Review E, 65, 011301 (2001) | en_US |
| dc.identifier.issn | 1063-651X | |
| dc.identifier.uri | http://hdl.handle.net/1853/44583 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Georgia Institute of Technology | en_US |
| dc.publisher.original | American Physical Society | en_US |
| dc.subject | Pattern formation | en_US |
| dc.subject | Granular systems | en_US |
| dc.subject | Fluid dynamics | en_US |
| dc.subject | Vertically oscillated granular layers | en_US |
| dc.title | Phase bubbles and spatiotemporal chaos in granular patterns | en_US |
| dc.type | Text | |
| dc.type.genre | Article | |
| dspace.entity.type | Publication | |
| local.contributor.author | Goldman, Daniel I. | |
| local.contributor.corporatename | College of Sciences | |
| local.contributor.corporatename | School of Physics | |
| relation.isAuthorOfPublication | c4e864bd-2915-429f-a778-a6439e3ef775 | |
| relation.isOrgUnitOfPublication | 85042be6-2d68-4e07-b384-e1f908fae48a | |
| relation.isOrgUnitOfPublication | 2ba39017-11f1-40f4-9bc5-66f17b8f1539 |
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