Session S01 - Modeling and Computation for Control and Optimization of Biological and Physical Systems

Wednesday, July 14, 18:20 ~ 18:45 UTC-3

Semiclassic Ginzburg-Landau model for a nematic superconducting medium in the presence of an electromagnetic field

Juan Pablo Borgna

ICIFI (CONICET) - CEDEMA (Universidad de San Martín), Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk, we shall present the derivation of a system of equations related to the optical response of a superconducting nematic liquid crystal medium, in the presence of an electromagnetic field. We shall consider the semi-classical Ginzburg-Landau superconductor formulation and the related Helmholtz free energy. By a minimizing process on the suitable physical observable variables, we obtain a set of equations. In a first step, we consider a sample of superfluid nematic liquid crystals, which allows us to ignore the magnetic field and consider the electric one only. We shall discuss the existence of solutions of the system obtained by focusing on geometries of interest, such as a slab and an annular cylinder. We describe the contribution of nematicity in the behavior of the Fréederickz threshold in these different configurations. In the second step, from the Helmholtz free energy expression, we derive the system of equations for the case of a superconducting medium. In this case, it is intrinsic to the problem to consider an electromagnetic field and this must be taken into account throughout the formulation. We shall comment on advances of the partial results obtained.

Joint work with Diego García Ovalle (Aix-Marseille Université, Francia). and Mariano F. De Leo (INMBB, Conicet - Universidad Nacional del Sur, Argentina).

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