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The amorphous propagation of microstructures during the electrochemicalcharging of a battery is the main reason for the capacity decay and shortcircuit. The charge distribution across the micro-structure is the result ofboth local and global equilibrium and is non-convex problem merely due tostochastic placement of the atoms. As such, obtaining the charge equilibrium(QEq) is a critical factor, since the amount of charge determines the successrate of the bond formation for the ionic species approaching the microstructureand consequently the ultimate morphology of the electrochemical deposits.Herein we develop a computationally-affordable method for determining thecharge allocation within such microstructures. The cost function and the spanof the charge distribution correlates very closely with the trivial method aswell as a conventional method, albeit having significantly less computationalcost. The method can be used for optimization in non-convex environments,specially those of stochastic nature.

Convexification of Charge Equilibrium within the Dendrites of Rechargeable Batteries