Chladni patterns explained by the space-dependent diffusion of bouncing grains
Although Chladni patterns are widely used to visualize the modes of vibration of an elastic plate, the mechanism by which the grains form the pattern is still debated. In this Letter, we suggest that the pattern results from space-dependent diffusion: grains gather where their diffusivity is low. We...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.L032001 |
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| _version_ | 1850109328096231424 |
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| author | Anaïs Abramian Suzie Protière Arnaud Lazarus Olivier Devauchelle |
| author_facet | Anaïs Abramian Suzie Protière Arnaud Lazarus Olivier Devauchelle |
| author_sort | Anaïs Abramian |
| collection | DOAJ |
| description | Although Chladni patterns are widely used to visualize the modes of vibration of an elastic plate, the mechanism by which the grains form the pattern is still debated. In this Letter, we suggest that the pattern results from space-dependent diffusion: grains gather where their diffusivity is low. We test this hypothesis in experiments, wherein we generate Chladni patterns on a vibrating membrane. We measure the diffusivity of the grains as a function of the vibration amplitude and propose an expression of the diffusive flux based on our measurements. We find a steady-state distribution of the grains in agreement with observations. These findings could inspire new methods to manipulate and segregate particles. |
| format | Article |
| id | doaj-art-d71d973292914ab29d68a94dcd4ca4cb |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-d71d973292914ab29d68a94dcd4ca4cb2025-08-20T02:38:06ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-0173L03200110.1103/PhysRevResearch.7.L032001Chladni patterns explained by the space-dependent diffusion of bouncing grainsAnaïs AbramianSuzie ProtièreArnaud LazarusOlivier DevauchelleAlthough Chladni patterns are widely used to visualize the modes of vibration of an elastic plate, the mechanism by which the grains form the pattern is still debated. In this Letter, we suggest that the pattern results from space-dependent diffusion: grains gather where their diffusivity is low. We test this hypothesis in experiments, wherein we generate Chladni patterns on a vibrating membrane. We measure the diffusivity of the grains as a function of the vibration amplitude and propose an expression of the diffusive flux based on our measurements. We find a steady-state distribution of the grains in agreement with observations. These findings could inspire new methods to manipulate and segregate particles.http://doi.org/10.1103/PhysRevResearch.7.L032001 |
| spellingShingle | Anaïs Abramian Suzie Protière Arnaud Lazarus Olivier Devauchelle Chladni patterns explained by the space-dependent diffusion of bouncing grains Physical Review Research |
| title | Chladni patterns explained by the space-dependent diffusion of bouncing grains |
| title_full | Chladni patterns explained by the space-dependent diffusion of bouncing grains |
| title_fullStr | Chladni patterns explained by the space-dependent diffusion of bouncing grains |
| title_full_unstemmed | Chladni patterns explained by the space-dependent diffusion of bouncing grains |
| title_short | Chladni patterns explained by the space-dependent diffusion of bouncing grains |
| title_sort | chladni patterns explained by the space dependent diffusion of bouncing grains |
| url | http://doi.org/10.1103/PhysRevResearch.7.L032001 |
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