Revisiting the Saha Equation in Two‐Temperature Plasma Systems

We present a thermodynamically consistent derivation of generalized Saha relations for stationary multi‐temperature plasmas using a maximum entropy framework applied to systems coupled to multiple thermal reservoirs. By explicitly constraining distinct subsets of degrees of freedom, we obtain a generalized affinity relation appropriate for nonequilibrium stationary states and recover known two‐temperature Saha forms as particular cases. The approach provides a transparent statistical interpretation of ionization equilibria in multi‐temperature plasmas.