  We present a detailed study of nonequilibrium Josephson currents and
conductance in ballistic multiterminal SNS-devices. Nonequilibrium is created
by means of quasiparticle injection from a normal reservoir connected to the
normal part of the junction. By applying a voltage at the normal reservoir the
Josephson current can be suppressed or the direction of the current can be
reversed. For a junction longer than the thermal length, $L\gg\xi_T$, the
nonequilibrium current increases linearly with applied voltage, saturating at a
value equal to the equilibrium current of a short junction. The conductance
exhibits a finite bias anomaly around $eV \sim \hbar v_F/L$. For symmetric
injection, the conductance oscillates $2\pi$-periodically with the phase
difference $\phi$ between the superconductors, with position of the minimum
($\phi=0$ or $\pi$) dependent on applied voltage and temperature. For
asymmetric injection, both the nonequilibrium Josephson current and the
conductance becomes $\pi$-periodic in phase difference. Inclusion of barriers
at the NS-interfaces gives rise to a resonant behavior of the total Josephson
current with respect to junction length with a period $\sim \lambda_F$. Both
three and four terminal junctions are studied.
