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We evaluate the full current statistics (FCS) in the low dimensional (1D and2D) diffusive conductors in the incoherent regime, $eV\gg E_{\rm Th}=D/L^2$,$E_{\rm Th}$ being the Thouless energy. It is shown that Coulomb interactionsubstantially enhances the probability of big current fluctuations for shortconductors with $E_{\rm Th}\gg1/\tau_E$, $\tau_E$ being the energy relaxationtime, leading to the exponential tails in the current distribution. The currentfluctuations are most strong for low temperatures, provided $E_{\rm Th}\sim[(eV)^2/D\nu_1^2\bigr]^{1/3}$ for 1D and $E_{\rm Th}\sim (eV/g)\ln g$ for 2D,where $g$ is a dimensionless conductance and $\nu_1$ is a 1D density of states.The FCS in the "hot electron" regime is also discussed.Comment: 4 pages, 1 table, 2 figure

Full Current Statistics of Incoherent “Cold Electrons”