Ginzburg-Landau equations

The Ginzburg-Landau equations are mathematical tools used to describe how superconductors (materials that conduct electricity without resistance) behave near their transition temperature. They involve a complex function called the order parameter, which indicates the presence and intensity of superconductivity, and electromagnetic fields like magnetic fields. These equations help scientists understand how superconductivity emerges, how it interacts with magnetic fields, and how it varies across a material. Essentially, they offer a framework for modeling the spatial and magnetic properties of superconductors in a way that captures their complex physical behavior.