Using a model of long-range interactions between vortices, we numerically s
tudy the non-equilibrium dynamics of driven vortex lattice subject to a dis
order potential generated by the randomly distributed point-like pinning ce
nters with varying lattice softness. Then transition from elastic to plasti
c regimes is observed. A scaling fit between force and velocity can be obta
ined in the elastic regime but fails in the plastic regime. The peak effect
occurs when one enters the plastic regime and the lattice tearing first en
hances the critical current density, J(c), then suppresses it. "Steps" in t
he curve of velocity-force dependence (VFD) and its differential are also o
bserved in this case. Our results are in agreement with previous simulation
s and recent experiments. (C) 2000 Elsevier Science B.V. All rights reserve
d.