GrandPotential InterfacialReactivity Method

Please share what method this class used to give a reaction between two solids.
is it also from a paper INTERFACE STABILITY IN SOLID STATE BATTERIES https://doi.org/10.1021/acs.chemmater.5b04082.

Is it following the given equation in a paper?

Δф=(_xϵ[0,1]^min){ ф_pd [xC_cathode+(1-x) C_electrolyte,µ_Li ]-x ф[C_cathode,µ_Li ]-(1-x)ф[C_electrolyte,µ_Li ]}