Self-similar magnetic structures and magnetic flux “Giant” creep

Dynamics of the magnetic flux penetration into type II superconductors

“…Similar problem for the case penetration of magnetic field into superconductors has been studied by Bass [4]. An analogous theoretical result in the viscous flow mode for vortices was obtained in [5] using the model of the critical state for oxide high-Tc superconductors.…”

“…A main result is that the magnetic flux will move as a shock front with velocity v = t 3/4 . Similar problem for the case penetration of magnetic field into superconductors has been studied in [5]. §6.…”

“…Theoretical investigations of the magnetic flux penetration dynamics into superconductors in a various regimes with a various currentvoltage characteristics is one of key problems of electrodynamics of superconductors. Mathematical problem of theoretical study the dynamics of evolution and penetration of magnetic flux into the sample in the viscous flux flow regime can be formulated on the basis of a nonlinear diffusion-like equation [1][2][3] for the magnetic field induction in a superconductor [4][5][6][7][8][9][10][11][12][13][14]. The dynamics of space-time evolution of the magnetic flux penetration into type-II superconductors, where the flux lines are parallel to the surface of the sample for the viscous flux flow regime with a nonlinear relationship between the field and current density in type II superconductors has been studied by many authors [4][5][6][7].…”

“…Mathematical problem of theoretical study the dynamics of evolution and penetration of magnetic flux into the sample in the viscous flux flow regime can be formulated on the basis of a nonlinear diffusion-like equation [1][2][3] for the magnetic field induction in a superconductor [4][5][6][7][8][9][10][11][12][13][14]. The dynamics of space-time evolution of the magnetic flux penetration into type-II superconductors, where the flux lines are parallel to the surface of the sample for the viscous flux flow regime with a nonlinear relationship between the field and current density in type II superconductors has been studied by many authors [4][5][6][7]. The magnetic flux penetration problem was theoretically studied for the particular case, where the flux flow resistivity independent of the magnetic field by authors [5].…”

“…The dynamics of space-time evolution of the magnetic flux penetration into type-II superconductors, where the flux lines are parallel to the surface of the sample for the viscous flux flow regime with a nonlinear relationship between the field and current density in type II superconductors has been studied by many authors [4][5][6][7]. The magnetic flux penetration problem was theoretically studied for the particular case, where the flux flow resistivity independent of the magnetic field by authors [5]. Similar problem has been considered in [6] for the semi-infinite sample in parallel geometry.…”