Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.19363 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912582547275776 |
|---|---|
| author | Williams, Sidney D. V. Gudorf, Matthew N. Orlov, Dmitri M. |
| author_facet | Williams, Sidney D. V. Gudorf, Matthew N. Orlov, Dmitri M. |
| contents | Plasma turbulence is a key challenge in understanding transport phenomena in magnetically confined plasmas. This work presents a novel approach using periodic orbit theory to analyze plasma turbulence, identifying fundamental structures that underpin chaotic motion. By applying numerical optimization techniques to the Kuramoto-Sivashinsky equation - a reduced model for drift-wave-driven trapped particle turbulence - we extract coherent spacetime patterns that serve as building blocks of turbulent dynamics. These structures provide a framework to systematically describe turbulence as a composition of recurrent solutions, revealing an underlying order within chaotic plasma motion. Our findings suggest that multi-periodic orbit theory can be effectively applied to spatiotemporal turbulence, offering a new method for predicting and potentially controlling transport processes in fusion plasmas. This study provides a bridge between nonlinear dynamical systems theory and plasma physics, highlighting the relevance of periodic orbit approaches for understanding complex plasma behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19363 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Understanding Plasma Turbulence Through Exact Coherent Structures Williams, Sidney D. V. Gudorf, Matthew N. Orlov, Dmitri M. Plasma Physics Chaotic Dynamics Plasma turbulence is a key challenge in understanding transport phenomena in magnetically confined plasmas. This work presents a novel approach using periodic orbit theory to analyze plasma turbulence, identifying fundamental structures that underpin chaotic motion. By applying numerical optimization techniques to the Kuramoto-Sivashinsky equation - a reduced model for drift-wave-driven trapped particle turbulence - we extract coherent spacetime patterns that serve as building blocks of turbulent dynamics. These structures provide a framework to systematically describe turbulence as a composition of recurrent solutions, revealing an underlying order within chaotic plasma motion. Our findings suggest that multi-periodic orbit theory can be effectively applied to spatiotemporal turbulence, offering a new method for predicting and potentially controlling transport processes in fusion plasmas. This study provides a bridge between nonlinear dynamical systems theory and plasma physics, highlighting the relevance of periodic orbit approaches for understanding complex plasma behavior. |
| title | Understanding Plasma Turbulence Through Exact Coherent Structures |
| topic | Plasma Physics Chaotic Dynamics |
| url | https://arxiv.org/abs/2505.19363 |