Abstract

Ab initio molecular dynamics (AIMD) simulation is widely employed in studying diffusion mechanisms and in quantifying diffusional properties of materials. However, AIMD simulations are often limited to a few hundred atoms and a short, sub-nanosecond physical timescale, which leads to models that include only a limited number of diffusion events. As a result, the diffusional properties obtained from AIMD simulations are often plagued by poor statistics. In this paper, we re-examine the process to estimate diffusivity and ionic conductivity from the AIMD simulations and establish the procedure to minimize the fitting errors. In addition, we propose methods for quantifying the statistical variance of the diffusivity and ionic conductivity from the number of diffusion events observed during the AIMD simulation. Since an adequate number of diffusion events must be sampled, AIMD simulations should be sufficiently long and can only be performed on materials with reasonably fast diffusion. We chart the ranges of materials and physical conditions that can be accessible by AIMD simulations in studying diffusional properties. Our work provides the foundation for quantifying the statistical confidence levels of diffusion results from AIMD simulations and for correctly employing this powerful technique.

Highlights

  • ab initio molecular dynamics (AIMD) simulations are carried out using the potential energy surface and atomistic forces calculated from ab initio methods, such as density functional theory (DFT), and model the dynamics of atomistic systems with ab initio level of accuracy and chemical versatility

  • This accuracy is lacking in classical molecular dynamics (MD) simulations, which are based on interatomic potentials (a.k.a. force fields)

  • AIMD simulation is the method of choice for studying the dynamics of atoms with complex chemistry changes and simulating materials that cannot be described by available interatomic potentials

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Summary

Introduction

As a powerful modeling technique, ab initio molecular dynamics (AIMD) simulation has been recently applied to a wide range of research topics in chemistry and materials science.[1,2,3,4] AIMD simulations are carried out using the potential energy surface and atomistic forces calculated from ab initio methods, such as density functional theory (DFT), and model the dynamics of atomistic systems with ab initio level of accuracy and chemical versatility. This accuracy is lacking in classical molecular dynamics (MD) simulations, which are based on interatomic potentials (a.k.a. force fields). The wide applicability of AIMD simulations has been successfully demonstrated in studies of diffusional properties,[5,6,7,8,9] reaction processes,[10,11] vibrational frequency,[12,13,14] amorphous materials,[15,16,17] phase transition,[18] etc

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