  We review the mesoscopic transport in a diffusive proximity superconductor
made of a normal metal (N) in metallic contact with a superconductor (S). The
Andreev reflection of electrons on the N-S interface is responsible for the
diffusion of electron pairs in N. Superconducting-like properties are induced
in the normal metal. In particular, the conductivity of the N metal is locally
enhanced by the proximity effect. A re-entrance of the metallic conductance
occurs when all the energies involved (e.g. temperature and voltage) are small.
The relevant characteristic energy is the Thouless energy which is $\hbar$
divided by the diffusion time for an electron travelling throughout the sample.
In loop-shaped devices, a 1/T temperature-dependent oscillation of the
magnetoresistance arises with a large amplitude from the long-range coherence
of low-energy pairs.
