Interactions Effects and Effective Temperature in Driven Vortex Fluids with Random Pinning

We study numerically the effects of vortex-vortex interactions on the fluctuation-dissipation relations of driven vortex fluids with random pinning. We show that the shaking temperature $T_{\tt sh}$ defined phenomenologically by Koshelev and Vinokur [1] corresponds to the effective transverse temperature $T_{\tt eff}$ defined from a generalized fluctuation-dissipation theorem [2,3] only in the limit of noninteracting vortices. $T_{\tt eff}$ is thus sensible to the short range anisotropic correlations in the driven fluid. In the noninteracting limit we use a simple model to derive an expression for $T_{\tt eff}$ which is valid for all finite velocities. [1] A.E. Koshelev and V.M. Vinokur, Phys. Rev. Lett. {\bf 73},3580 (1994). [2] L.F. Cugliandolo, J. Kurchan, and L. Peliti, Phys. Rev. E {\bf 55}, 3898 (1997) [3] A. B. Kolton {\it et al.}, Phys. Rev. Lett. {\bf 89}, 227001 (2002).