5 papers
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…
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…
Kinematics and Generalized Raychaudhuri equation in f(G) gravity in imperfect fluid case
Y. Alipour Fakhri, MOjtaba Safdarian, S. Zamani Moghaddam
The equation of motion is the important equation for obtain the extra force and Raychaudhuri equation. By considering an explicitly coupling between an arbitrary function of the sc…