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Time-local stochastic equation of motion for solid ionic electrolytes

A. Rodin1,2, B. A. Olsen3, A. Ustyuzhanin4,5,6, and A. Maevskiy6

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Phys. Rev. Research 7, 033120 – Published 4 August, 2025

DOI: https://doi.org/10.1103/jnzr-q953

Abstract

Numerical studies of ionic motion through solid electrolytes commonly involve static nudged-elastic band methods or costly ab initio molecular dynamics. Building on a time-local model of current carrier-electrolyte interaction and incorporating thermal motion, we introduce an approach that is intermediate between the two well-established methodologies by treating the electrolyte as an effective medium that interacts with the mobile particle. Through this coupling, the thermally vibrating electrolyte imparts energy to the charge carriers while also absorbing energy from them due to its own finite elasticity. Using a simple model system, we validate our approach through a series of numerical simulations. Our methodology reproduces both dissipative and diffusive behavior and helps link microscopic system parameters to measurable macroscopic properties.

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Phys. Rev. Research 7, 033120– Published 4 August, 2025
  • Received 9 April 2025
  • Accepted 12 July 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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