  We study theoretically the spin-Hall effect as well as its reciprocal
phenomenon (a transverse charge current driven by a spin-dependent chemical
potential gradient) in electron and hole finite size mesoscopic systems. The
Landauer-Buttiker-Keldysh formalism is used to model samples with mobilities
and Rashba coupling strengths which are experimentally accessible and to
demonstrate the appearance of measurable charge currents induced by the
spin-dependent chemical potential gradient in the reciprocal spin-Hall effect.
We also demonstrate that within the mesoscopic coherent transport regime the
Onsager relations are fulfilled for the disorder averaged conductances for
electron and hole mesoscopic systems.
