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The superconducting properties of small metallic grains has been a topic ofactive research for half a century now. Early experiments demonstrated aremarkable rise in the critical temperature, $T_{c}$, with reducing grain sizein a variety of materials. In two dimensional diffusive superconductors,$T_{c}$ is decreased due to enhanced Coulomb repulsion. We propose that infinite size grains, the diffusive enhancement of the Coulomb repulsion isweakened and leads ultimately to an increase in $T_{c}$ in isolated, disorderedtwo dimensional grains. Our mechanism is superimposed on the possibleenhancement in $T_{c}$ due to the change in the density of states of finitesize systems.

Reduction of electron repulsion and enhancement of $T_{c}$ in small diffusive superconducting grains