T. Christen, GENERALIZED THERMODYNAMIC POTENTIALS FOR MESOSCOPIC CONDUCTORS IN THEPRESENCE OF TRANSPORT, Physical review. B, Condensed matter, 55(12), 1997, pp. 7606-7608
It is shown that the nonequilibrium steady state of a phase-coherent c
onductor can be described by a generalized thermodynamic potential bas
ed on the concept of partial densities of states. This is possible due
to the fact that dissipation takes place only in the contacts for the
emitted carriers. Long-range Coulomb interaction is included, and cha
rge conservation and gauge invariance an satisfied. The theory is illu
strated for a mesoscopic capacitor with leakage.