Dynamics of flux lines: thermal fluctuations

A relaxational dynamics for ad-dimensional model of flux lines is investigated. The flux lines are subject to thermal fluctuations such that they form a flux liquid rather than a flux lattice. We find that the density-density auto correlation function decays as (logt/t²)² for large timest. In contrast, this correlation function decays for point-like vortices ast^–2. At the transition to an empty lattice (Abrikosov-Meissner transition), the auto correlation function decays as a power law with dimension-dependent exponentsd+2 for flux lines andd for point-like vortices. Therefore, the fluctuations and the interactions of long flux lines have an accelerating effect on the relaxation.