High frequency vortex dynamics and magnetoconductivity of high   temperature superconductors
  The vortex lattice with the superconducting and normal state charge carriers fractions may be regarded as three independent subsystems mutually connected by interactions. The equation of motion for these three subsystems must be solved simultaneously. In this way a new consistent theory of the vortex dynamics is obtained and the magnetoconductivity calculated. 
J. Kolacek, E. Kawate