On nonlinear kinetic effects in the vortex array in superconductors

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.