Abstract
We investigate analytically and numerically the melting of the vortex lattice moving in an inhomogeneous environment under the applied current [ital j]. We predict the existence of a dynamic phase transition at some characteristic current [ital j]=[ital j][sub [ital t]] (crystallization current) from the motion of the amorphous vortex configuration at [ital j][lt][ital j][sub [ital t]] to the motion of the vortex crystal at [ital j][gt][ital j][sub [ital t]]. The crystallization current [ital j][sub [ital t]] exceeds essentially the critical current [ital j][sub [ital c]] for strongly disordered systems and diverges as temperature approaches the melting temperature [ital T][sub [ital m]] of the undisturbed lattice.
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