Fractal structure of Christ-Lee model
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908285679960064 |
|---|---|
| author | Zhang, Boming Jiang, Yunguo |
| author_facet | Zhang, Boming Jiang, Yunguo |
| contents | This paper numerically investigates the dynamical properties of kink and antikink collisions in the Christ_Lee model in the regime of epsilon approaching the phi4 theory. With given epsilon and the initial velocity Vin, we exhibiting the formation of bion, scattering, and n_bounce states. Additionally, we show the self_similar fractal structures in the plot of Vout_Vin with given epsilon. Specially, we find the fractal structure in the plot of Vout versus epsilon, which is not reported previously. We computes the Box_counting dimension for these fractal structures. We find that the Box_dimension is positively correlated with epsilon, and approaches to Hausdorff dimension of the Sierpinski triangle when epsilon is sufficiently large. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20799 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractal structure of Christ-Lee model Zhang, Boming Jiang, Yunguo Statistical Mechanics Pattern Formation and Solitons 35Q51 This paper numerically investigates the dynamical properties of kink and antikink collisions in the Christ_Lee model in the regime of epsilon approaching the phi4 theory. With given epsilon and the initial velocity Vin, we exhibiting the formation of bion, scattering, and n_bounce states. Additionally, we show the self_similar fractal structures in the plot of Vout_Vin with given epsilon. Specially, we find the fractal structure in the plot of Vout versus epsilon, which is not reported previously. We computes the Box_counting dimension for these fractal structures. We find that the Box_dimension is positively correlated with epsilon, and approaches to Hausdorff dimension of the Sierpinski triangle when epsilon is sufficiently large. |
| title | Fractal structure of Christ-Lee model |
| topic | Statistical Mechanics Pattern Formation and Solitons 35Q51 |
| url | https://arxiv.org/abs/2503.20799 |