STATISTICAL-MECHANICS OF LINE LIQUIDS

We study the vortex liquid phase structure factor by a synthesis of liquid state physics for point particles with a generalization of Ornstein-Zernike-type description to line liquids. The decay of the in-plane Fourier components k\ of the structure factor S(k\ ,z) along the z-axis due to line wandering are obtained at high flux densities. We find that S(k\ ,z=0) vanishes linearly as k\ --> 0 signifying that the system is a line in three dimensions.