Structure of a dense vortex-line liquid in a model high-Tcsuperconductor

We study the properties of a vortex-line liquid, within a uniformly frustrated three-dimensional XY model, as a model for a type-II high-${\mathit{T}}_{\mathit{c}}$ superconductor. The vortex structure function S(${\mathbf{q}}_{\mathrm{\perp }}$,${\mathit{q}}_{\mathit{z}}$) is computed with Monte Carlo simulations, and our results compared with hydrodynamic and two-dimensional boson approximations. Properties of the elastic moduli are discussed.