4 papers
Non-Tonelli Finsler Geometry of Exotic Superconductivity: Metastable Vortex Phases and Geometric Phase Transitions
Y. Alipour Fakhri
We develop a thermally coupled Ginzburg-Landau theory on \emph{Weakly Non-Tonelli (WNT) Finsler manifolds}, extending classical vortex analysis beyond the Tonelli convexity paradig…
Control-Translated Finsler-type structure and Anisotropic Ginzburg-Landau models
Y. Alipour Fakhri
This paper develops a geometric and analytical extension of the Finsler--Ginzburg--Landau framework by introducing a distributed control field acting as a translation in the tangen…
Renormalized Energy and Vortex Interaction in Finsler Ginzburg-Landau Models
Y. Alipour Fakhri
We develop a Finsler Ginzburg--Landau framework for the analysis of vortex interactions in anisotropic superconductors. Within this setting, the Finsler structure encodes direction…
Finsler geometry in anisotropic superconductivity: a Ginzburg-Landau approach
Y. Alipour Fakhri
We present a rigorous generalization of the classical Ginzburg--Landau model to smooth, compact Finsler manifolds without boundary. This framework provides a natural analytic setti…