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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-05-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023136 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 2643-1564 |