Renormalized Energy and Vortex Interaction in Finsler Ginzburg-Landau Models
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909887316885504 |
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| author | Fakhri, Y. Alipour |
| author_facet | Fakhri, Y. Alipour |
| contents | We develop a Finsler Ginzburg--Landau framework for the analysis of vortex interactions in anisotropic superconductors. Within this setting, the Finsler structure encodes directional dependence of the condensate energy, yielding a renormalized energy W_F that governs both equilibrium and dynamics of vortices. We derive the Gamma--limit, establish the analytical structure and stability of W_F, and show that vortex motion follows a Finsler gradient flow exhibiting anisotropic dissipation and drift. This approach provides a unified geometric and physical model for anisotropic superconductivity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_23048 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Renormalized Energy and Vortex Interaction in Finsler Ginzburg-Landau Models Fakhri, Y. Alipour Mathematical Physics 53C60, 35Q56, 35J50, 82D55, 35B40 We develop a Finsler Ginzburg--Landau framework for the analysis of vortex interactions in anisotropic superconductors. Within this setting, the Finsler structure encodes directional dependence of the condensate energy, yielding a renormalized energy W_F that governs both equilibrium and dynamics of vortices. We derive the Gamma--limit, establish the analytical structure and stability of W_F, and show that vortex motion follows a Finsler gradient flow exhibiting anisotropic dissipation and drift. This approach provides a unified geometric and physical model for anisotropic superconductivity. |
| title | Renormalized Energy and Vortex Interaction in Finsler Ginzburg-Landau Models |
| topic | Mathematical Physics 53C60, 35Q56, 35J50, 82D55, 35B40 |
| url | https://arxiv.org/abs/2510.23048 |