We consider mesoscopic fluctuations of the Coulomb drag coefficient $rho_D$ in the system of two separated two-dimensional electron gases. It is shown that at low temperatures sample to sample fluctuations of $rho_D$ exceed its ensemble average. It means that in such a regime the sign of $rho_D$ is random and the temperature dependence almost saturates $rho_D sim 1/sqrt{T}$.
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