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We present a self-organized stochastic model for the dynamics of a singleflux line in random media. The dynamics for the flux line in the longitudinaland the transversal direction to an averaged moving direction are coupled toeach other. The roughness exponents of the flux line are measured for eachdirection, which are close to $\alpha_{\parallel}\approx 0.63$ for thelongitudinal and $\alpha_{\perp}\approx 0.5$ for the transversal direction,respectively. The dynamic exponents are obtained as $z\approx 1$ for bothdirections. We discuss the classification of universality for the stochasticmodel.Comment: Latex file with 5 PS figure

Stochastic model for a vortex depinning in random media