Linearized Tracking of Dendritic Evolution in Rechargeable Batteries

Abstract

The formation of dendritic microstructures during electrodeposition is a complex process depending on several physical/chemical parameters. Here, we establish an analytical framework for tracking the one-dimensional dendritic interface based on the asynchronous developments in the concentration C and the electric potential V . Comparing the dynamics of the interface versus the ions, we establish linearized forms of the concentration C and the electric potential V during the quasi-steady-state evolution. Subsequently, we investigate the potentiostatic (V0) and galvanostatic (i0) conditions, where we have analytically attained the dependent parameters (i or V ) and justified their respective variations in the binary electrolyte. Consequently, we have quantified the role of original concentration C0, the inter-electrode potential V0, the electrolyte diffusivity D, and the inter-electrode separation l on the value and growth rate of the dendritic interface. In particular, for the given infinitesimal dendritic growth, we have shown a higher efficacy for the electromigration than the diffusion, especially during the instigation period of the electrodeposition.