WebJan 6, 2016 · The phenomenological Ginzburg–Landau (GL) theory is, up to now, widely used for describing new superconductors. Using the original Gor’kov method, a microscopic derivation of GL equations of superconductors with anisotropic order parameter was done [1–3].Generalization of the Gor’kov method on the strongly correlated Hubbard model … In physics, Ginzburg–Landau theory, often called Landau–Ginzburg theory, named after Vitaly Ginzburg and Lev Landau, is a mathematical physical theory used to describe superconductivity. In its initial form, it was postulated as a phenomenological model which could describe type-I … See more Based on Landau's previously established theory of second-order phase transitions, Ginzburg and Landau argued that the free energy, F, of a superconductor near the superconducting transition can be expressed in terms … See more The phase transition from the normal state is of second order for Type II superconductors, taking into account fluctuations, as … See more The Ginzburg–Landau functional can be formulated in the general setting of a complex vector bundle over a compact Riemannian manifold. This is the same functional as given … See more Consider a homogeneous superconductor where there is no superconducting current and the equation for ψ simplifies to: This equation has a … See more The Ginzburg–Landau equations predicted two new characteristic lengths in a superconductor. The first characteristic length was termed coherence length, ξ. For T > Tc (normal … See more In the original paper Ginzburg and Landau observed the existence of two types of superconductors depending on the energy of the interface … See more When the manifold $${\displaystyle M}$$ is a Riemann surface $${\displaystyle M=\Sigma }$$, the functional can be re-written so as to explicitly show self-duality. One achieves this … See more

Physics:Ginzburg–Landau theory - HandWiki

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Ginzburg-Landau theory: why Helmholtz energy is used?

WebWe study contributions of colloidal forces, i.e., hydrophobic, van der Waals, and electrical double layer interactions, to the thickness of a colloidal deposit in equilibrium with an aqueous suspension by using classical density functional theory, which we expand to obtain a Ginzburg-Landau type energy functional. WebThe Ginzburg-Landau (GL) theory is a triumph of physical intuition, in which a wave function )ψ(r is introduced as a complex order parameter. The parameter ψ(r)2 … Webthe so-called Ginzburg-Landau theory as a convenient general language to describe both the mean-field the-ory and the renormalization group framework. As men-tioned above, … piping online course