Role of in-plane dissipation in dynamics of Josephson lattice in   high-temperature superconductors
  We calculate the flux-flow resistivity of the Josephson vortex lattice in a layered superconductor taking into account both the inter-plane and in-plane dissipation channels. We consider the limiting cases of small fields (isolated vortices) and high fields (overlapping vortices). In the case of the dominating in-plane dissipation, typical for high-temperature superconductors, the field dependence of flux-flow resistivity is characterized by {\it three} distinct regions. As usual, at low fields the flux-flow resistivity grows linearly with field. When the Josephson vortices start to overlap the flux-flow resistivity crosses over to the regime of {\it quadratic} field dependence. Finally, at very high fields the flux-flow resistivity saturates at the c-axis quasiparticle resistivity. The intermediate quadratic regime indicates dominant role of the in-plane dissipation mechanism. Shape of the field dependence of the flux-flow resistivity can be used to extract both components of the quasiparticle 
A. E. Koshelev