I will discuss certain non-equilibrium effects on the supercurrent(s) in a multi-terminal Josephson Junction setup that consists of a mesoscopic and chaotic normal dot which is coupled by tunnel barriers to multiple superconducting and normal leads. Non-equilibrium condition is produced by voltage biasing the normal leads. One of the main results is that the area of the critical current hypersurface decreases with voltage, reaches a minimum and then grows and saturates at large voltages. I will discuss how 1) thickness of the barriers , 2) temperature of the leads and 3) intrinsic inelastic relaxation in the dot - affect the supercurrent(s) and lead to various interesting behaviors. All my results are obtained using the quasi classical Keldysh formalism in the dirty limit (usually referred to as Usadel equations) and I will also try to give an overview of this framework and particularly how I apply it.