Dynamics of spatially modulated kinks in shallow granular layers
We report on the experimental observation and characterization of the bifurcation diagram, dynamical properties and fluctuations of spatially modulated kinks in a shallow one-dimensional fluidized granular layer subjected to a periodic air flow. We show the appearance of these solutions as the layer...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/4/043032 |
| _version_ | 1797751438502264832 |
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| author | J E Macías C Falcón |
| author_facet | J E Macías C Falcón |
| author_sort | J E Macías |
| collection | DOAJ |
| description | We report on the experimental observation and characterization of the bifurcation diagram, dynamical properties and fluctuations of spatially modulated kinks in a shallow one-dimensional fluidized granular layer subjected to a periodic air flow. We show the appearance of these solutions as the layer undergoes a parametric instability. Due to the inherent fluctuations of the granular layer, the kink profile exhibits an effective wavelength, termed the precursor , which modulates spatially the homogeneous states and drastically modifies the kink dynamics. We characterize the average and fluctuating properties of this solution. The long-term evolution of these kinks is dominated by a hopping dynamics, related directly to the underlying spatial structure and inherent fluctuation. The properties of this motion can be described by a Brownian particle in a symmetric periodic potential. Both the noise intensity of the Brownian fluctuations and the amplitude and periodicity of the potential arise from the underlying precursor structure. |
| first_indexed | 2024-03-12T16:49:33Z |
| format | Article |
| id | doaj.art-58eb5be4595640978f2ceb8f4bfe4378 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:49:33Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-58eb5be4595640978f2ceb8f4bfe43782023-08-08T11:25:48ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116404303210.1088/1367-2630/16/4/043032Dynamics of spatially modulated kinks in shallow granular layersJ E Macías0C Falcón1Departamento de Física , Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, ChileDepartamento de Física , Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, ChileWe report on the experimental observation and characterization of the bifurcation diagram, dynamical properties and fluctuations of spatially modulated kinks in a shallow one-dimensional fluidized granular layer subjected to a periodic air flow. We show the appearance of these solutions as the layer undergoes a parametric instability. Due to the inherent fluctuations of the granular layer, the kink profile exhibits an effective wavelength, termed the precursor , which modulates spatially the homogeneous states and drastically modifies the kink dynamics. We characterize the average and fluctuating properties of this solution. The long-term evolution of these kinks is dominated by a hopping dynamics, related directly to the underlying spatial structure and inherent fluctuation. The properties of this motion can be described by a Brownian particle in a symmetric periodic potential. Both the noise intensity of the Brownian fluctuations and the amplitude and periodicity of the potential arise from the underlying precursor structure.https://doi.org/10.1088/1367-2630/16/4/043032granular mattermean first passage timefrontspattern forming systems05.45.-a47.20.Ky |
| spellingShingle | J E Macías C Falcón Dynamics of spatially modulated kinks in shallow granular layers New Journal of Physics granular matter mean first passage time fronts pattern forming systems 05.45.-a 47.20.Ky |
| title | Dynamics of spatially modulated kinks in shallow granular layers |
| title_full | Dynamics of spatially modulated kinks in shallow granular layers |
| title_fullStr | Dynamics of spatially modulated kinks in shallow granular layers |
| title_full_unstemmed | Dynamics of spatially modulated kinks in shallow granular layers |
| title_short | Dynamics of spatially modulated kinks in shallow granular layers |
| title_sort | dynamics of spatially modulated kinks in shallow granular layers |
| topic | granular matter mean first passage time fronts pattern forming systems 05.45.-a 47.20.Ky |
| url | https://doi.org/10.1088/1367-2630/16/4/043032 |
| work_keys_str_mv | AT jemacias dynamicsofspatiallymodulatedkinksinshallowgranularlayers AT cfalcon dynamicsofspatiallymodulatedkinksinshallowgranularlayers |