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The quest for safe high-energy batteries with "5V-class" cathodes and lithiummetal anodes drives research into solid electrolytes. However, reasons for thelarge charge transfer resistances -- the major bottleneck of all-solid-statebatteries -- are still debated. In this article, we explore the processes inincompressible solid electrolytes between blocking electrodes by theory-basedcontinuum modeling and numerical simulations. We investigate the experimentallyobserved wide space-charge-zones in solid electrolytes, which are a possiblecause for the high interfacial resistances. On time scales relevant for batteryapplications, we reduce our model equations. Analytic and numeric calculationspredict and study the actual structure of space-charge-layers in solidelectrolytes. To illustrate these dynamics and validate our model,computational results are presented and compared with experimentalobservations. Analog to semiconductors, we determine the material dependent,asymmetric space-charge-layer width in the low temperature limit approximately.This allows us to make an explicit statement about the influence of defectconcentrations and dielectric properties on the width of thespace-charge-layers in homogeneous solid electrolytes.

Statics and Dynamics of Space-Charge-Layers in Polarized Inorganic Solid Electrolytes