Relaxation of flux profile and magnetisation due to non-linear vortex diffu
sion in a superconducting slab settled in a parallel-to-the-surface DC and
superimposed weak AC magnetic fields is studied for several kinds of the no
n-linear vortex diffusivity, corresponding to different possible shapes of
the current-voltage characteristics of the superconductor. The evolution of
the dynamic vortex response on applied weak AC field due to flux relaxatio
n process is studied and relaxation characteristics of the AC magnetic susc
eptibility are calculated. The flux creep rate and magnetisation decay are
shown to be enhanced significantly in the case of strongly non-linear regim
e of vortex diffusion if even rather weak AC magnetic field is applied. The
possibility of 'dynamical melting' of the vortex lattice occurring at rath
er high levels of the induced current density (j > j(c)) is also demonstrat
ed. (C) 1998 Elsevier Science B.V. All rights reserved.