  We investigate by exact optimization methods the roughening of two and
three-dimensional systems of elastic lines with point disorder and hard-core
repulsion with open boundary conditions. In 2d we find logarithmic behavior
whereas in 3d simple random walk-like behavior. The line 'forests' become
asymptotically completely entangled as the system height is increased at fixed
line density due to increasing line wandering.

Disordered Systems and Neural Networks;Superconductivity