“…Techniques that have been applied in this context include ab initio molecular dynamics (AIMD), where potentials are calculated on the fly using density functional theory, ,,,− quantum mechanical/molecular mechanical (QM/MM) methods, ,, multistate empirical valence bond (MS-EVB) simulations, λ-dynamics, and other approaches. , While these techniques have uncovered many atomistic details, high computational cost tends to restrict their application to short times (picoseconds) and small systems, often less than 100 waters with a single H 3 O + . ,,,,,, Some studies were able to extend this range to significantly more water molecules and longer times, particularly, when using MS-EVB and related approaches (see refs ,– and references therein). Efforts to use simplified reactive force fields have yielded interesting data as well. ,,− Nonetheless, simulations of large systems that involve Grotthuss diffusion remain challenging.…”