  We study a clean superconductor in the Hall configuration, in the framework
of a purely dissipative time-dependent Ginzburg--Landau theory. We find
situations in which the order parameter differs significantly from zero in a
set of islands that appear to form a periodic structure. When the pattern of
islands becomes irregular, it moves in or against the direction of the current
and a Hall voltage is found. Tiny differences in the initial state may reverse
the sign of the Hall voltage. When the average Hall voltage vanishes, the local
Hall voltage does not necessarily vanish. We examine the influence that several
boundary conditions at the electrodes have on these effects.
