Microscopic theory of thermalization in one dimension with nonlinear bath coupling

Ionic conductivity in solid electrolytes is commonly expected to exhibit Arrhenius dependence on temperature, determined by a well-defined activation energy. Consequently, a standard approach involves calculating this energy using quasi-static methods and using the Arrhenius form to extrapolate the numerical results from one temperature range to another. Despite the ubiquity of this Arrhenius-based modeling, disagreements frequently arise between theory and experiment, and even between different theoretical studies. By considering a tractable minimal model, we elucidate the reason behind the breakdown of the Arrhenius conductivity form. This breakdown is driven by nontrivial phase-space boundaries between conducting and nonconducting regimes, and depends on the kinetic properties of the system. Published by the American Physical Society 2024

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Microscopic theory of thermalization in one dimension with nonlinear bath coupling

Cited by 4 publications

References 65 publications

Minimal model of drag in one-dimensional crystals

Minimal model of drag in one-dimensional crystals

Dissipation and diffusion in one-dimensional solids

Activation in solid ionic electrolytes

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