Power-law spectral decay as a general feature of spiral turbulence
Spiral waves emitted by topological defects and their instabilities are a fundamental and ubiquitous process in nature. We study this phenomenon using data from recent experiments and different prototype models ranging from coupled oscillators, reaction-diffusion, and nonlinear optics. Statistically...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023136 |
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| author | Y. Soupart M. G. Clerc M. Tlidi |
| author_facet | Y. Soupart M. G. Clerc M. Tlidi |
| author_sort | Y. Soupart |
| collection | DOAJ |
| description | Spiral waves emitted by topological defects and their instabilities are a fundamental and ubiquitous process in nature. We study this phenomenon using data from recent experiments and different prototype models ranging from coupled oscillators, reaction-diffusion, and nonlinear optics. Statistically we show that, for all systems considered, the spectral density exhibits a power-law decay on spatial scales shorter than the intrinsic wavelength. This reflects a common type of self-organization through a stationary turbulentlike dynamics. The role of short-range interactions due to high defects density is discussed. Using a generalized Hilbert transform in two dimensions, we show that local phase and amplitude field present similar power-law decays in their spectral density. |
| format | Article |
| id | doaj-art-67789fd3602a4a6eb80bad5e4e7d0c45 |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-67789fd3602a4a6eb80bad5e4e7d0c452025-08-20T01:50:31ZengAmerican Physical SocietyPhysical Review Research2643-15642025-05-017202313610.1103/PhysRevResearch.7.023136Power-law spectral decay as a general feature of spiral turbulenceY. SoupartM. G. ClercM. TlidiSpiral waves emitted by topological defects and their instabilities are a fundamental and ubiquitous process in nature. We study this phenomenon using data from recent experiments and different prototype models ranging from coupled oscillators, reaction-diffusion, and nonlinear optics. Statistically we show that, for all systems considered, the spectral density exhibits a power-law decay on spatial scales shorter than the intrinsic wavelength. This reflects a common type of self-organization through a stationary turbulentlike dynamics. The role of short-range interactions due to high defects density is discussed. Using a generalized Hilbert transform in two dimensions, we show that local phase and amplitude field present similar power-law decays in their spectral density.http://doi.org/10.1103/PhysRevResearch.7.023136 |
| spellingShingle | Y. Soupart M. G. Clerc M. Tlidi Power-law spectral decay as a general feature of spiral turbulence Physical Review Research |
| title | Power-law spectral decay as a general feature of spiral turbulence |
| title_full | Power-law spectral decay as a general feature of spiral turbulence |
| title_fullStr | Power-law spectral decay as a general feature of spiral turbulence |
| title_full_unstemmed | Power-law spectral decay as a general feature of spiral turbulence |
| title_short | Power-law spectral decay as a general feature of spiral turbulence |
| title_sort | power law spectral decay as a general feature of spiral turbulence |
| url | http://doi.org/10.1103/PhysRevResearch.7.023136 |
| work_keys_str_mv | AT ysoupart powerlawspectraldecayasageneralfeatureofspiralturbulence AT mgclerc powerlawspectraldecayasageneralfeatureofspiralturbulence AT mtlidi powerlawspectraldecayasageneralfeatureofspiralturbulence |