Inhomogeneities in Superconductors Described by the Two-Component Model

Real space inhomogeneities in high temperature superconductors: the perspective of the two-component model.

The two-component model of high temperature superconductors in its real space version has been solved using Bogoliubov-de Gennes equations. The disorder in the electron and boson subsystem has been taken into account. It strongly modifies the superconducting properties and leads to local variations of the gap parameter and density of states. The assumption that the impurities mainly modify boso...

Vortex pinning by inhomogeneities in type-II superconductors

The methods of formal matched asymptotics are used to examine the motion of a curvilinear vortex in an inhomogeneous type-II superconducting material in the limit as the vortex core radius tends to zero. The resulting law of motion indicates that the logarithm of the equilibrium density of the superconducting electrons acts as a pinning potential for the vortex, so that vortices will be attract...

Computing microscopic structures of inhomogeneities in superconductors

We present an efficient computational method to solve selfconsistently the Bogoliubov–de Gennes equations of weak coupling superconductivity. As a function of system size, the scaling of the CPU time required by the scheme is shown to be preferable compared to the methods commonly used. Also, the scheme allows taking into account nonlocal pairing interactions without additional computational co...

Non-Meissner electrodynamics and knotted solitons in two-component superconductors

Numerical Simulation of Forced Convection of Nanofluids by a Two-Component Nonhomogeneous Model

Nanofluids, in which nano-sized particles (typically less than 100 nm) are suspended in liquids, have emerged as a possible effective way of improving the heat transfer performance of common fluids. In this paper a numerical study is performed to analyze the wall shear stress and heat transfer coefficient of γAl2O3-water nanofluids under laminar forced convection through a circular pipe. It is ...