The motion of vortices in a type II superconductor is accompanied by a heat flux
coming from the vortices themselves. It leads to such thermogalvanomagnetic effects
like the Nernst, Ettingshausen and Righi–Leduc effects. Moreover, besides the linear
thermoelectric Seebeck and Peltier effects, the Hall effect also occurs. That
situation seems to be very interesting because it does not take place during
common electric conductivity processes but during diffusion and/or creep
of magnetic vortices in superconductors. It is known that each vortex line
carries a quantum of magnetic field and around it a supercurrent flows.
But inside the vortex core a normal current exists. Therefore, the above
kinetic linear and nonlinear effects are possible in the vortex array. The
paper aims at the formulation of an unconventional thermodynamical model
of the above kinetic phenomena including their relaxation properties. As
a result we have obtained forms of the constitutive laws related to those
processes.
Keywords
nonlinear kinetics in magnetic vortices, thermodynamical
modelling of vortex field, superconductivity
