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Molecular dynamics with electronic friction (MDEF) approach can describe nonadiabatic effects accurately at metal surfaces in the weak nonadiabatic limit. That being said, MDEF treats nuclear motion classically, such that the nuclear…

Chemical Physics · Physics 2024-04-09 Rui-Hao Bi , Wenjie Dou

Despite its widespread use in materials science, conventional molecular dynamics (MD) simulations are severely constrained by timescale limitations. To address this shortcoming, we propose an empirical formulation of accelerated MD method,…

Materials Science · Physics 2025-12-10 Liang Wan , Qingsong Mei , Haowen Liu , Huafeng Zhang , Jun-Ping Du , Shigenobu Ogata , Wen Tong Geng

We present a novel mixed quantum-classical approach to the coupled electron-nuclear dynamics based on the exact factorization of the electron-nuclear wave function, recently proposed in [A. Abedi, N. T. Maitra, and E. K. U. Gross, Phys.…

Chemical Physics · Physics 2015-06-18 Ali Abedi , Federica Agostini , E. K. U. Gross

Path integral-based simulation methodologies play a crucial role for the investigation of nuclear quantum effects by means of computer simulations. However, these techniques are significantly more demanding than corresponding classical…

Statistical Mechanics · Physics 2018-01-17 Karsten Kreis , Kurt Kremer , Raffaello Potestio , Mark E. Tuckerman

We review a molecular dynamics method for nucleon many-body systems called the quantum molecular dynamics (QMD) and our studies using this method. These studies address the structure and the dynamics of nuclear matter relevant to the…

Nuclear Theory · Physics 2014-01-31 Toshiki Maruyama , Gentaro Watanabe , Satoshi Chiba

We present a simple and accurate computational method, which facilitates ab-initio path-integral molecular dynamics simulations, where the quantum mechanical nature of the nuclei is explicitly taken into account, at essentially no…

Chemical Physics · Physics 2016-04-21 Chris John , Thomas Spura , Scott Habershon , Thomas D. Kühne

This article discusses applications of Bayesian machine learning for quantum molecular dynamics. One particular formulation of quantum dynamics advocated here is in the form of a machine learning simulator of the Schr\"{o}dinger equation.…

Chemical Physics · Physics 2019-07-24 R. V. Krems

Many-body correlations characterizing the Constrained Molecular Dynamics (CoMD)are analyzed in the case of finite and zero range effective microscopic interactions. The study begins by analyzing the case of infinite nuclear matter at zero…

Nuclear Theory · Physics 2023-11-02 Massimo Papa

Molecular rotation, vibration, internal rotation, isomerization, tunneling, intermolecular dynamics of weakly and strongly interacting systems, intra-to-inter-molecular energy transfer, hindered rotation and hindered translation over…

Chemical Physics · Physics 2022-12-02 Edit Mátyus , Alberto Martín Santa Daría , Gustavo Avila

Corrections for nuclear quantum effects (NQE) have been calculated for classical molecular dynamics (MD) simulation models of light (H2O), heavy (D2O) and null (H1.28D0.72O) water. New path integral molecular dynamics (PIMD) simulations…

Chemical Physics · Physics 2020-11-03 Imre Bakó , Ádám Madarász , László Pusztai

Constrained molecular dynamics(CoMD) model, previously introduced for nuclear dynamics, has been extended to the atomic structure and collision calculations. Quantum effects corresponding to the Pauli and Heisenberg principle are enforced…

Atomic Physics · Physics 2007-05-23 Sachie Kimura , Aldo Bonasera

The machine learning potential (MLP) based molecular dynamics (MD) method was applied for constructing the pressure-temperature phase diagram in the barium titanate (BaTiO3) crystals. The nuclear quantum effects (NQEs) on the phase…

Materials Science · Physics 2024-11-19 Kansei Kanayama , Kazuaki Toyoura

Path-integral molecular dynamics (PIMD) simulations have been carried out to study the influence of quantum dynamics of carbon atoms on the properties of a single graphene layer. Finite-temperature properties were analyzed in the range from…

Materials Science · Physics 2016-12-23 Carlos P. Herrero , Rafael Ramirez

Ab-initio molecular dynamics (AIMD) is a powerful tool to simulate physical movements of molecules for investigating properties of materials. While AIMD is successful in some applications, circumventing its high computational costs is…

Quantum Physics · Physics 2024-06-28 Honomi Kashihara , Yudai Suzuki , Kenji Yasuoka

For nearly the past 30 years, Centroid Molecular Dynamics (CMD) has proven to be a viable classical-like phase space formulation for the calculation of quantum dynamical properties. However, calculation of the centroid effective force…

Chemical Physics · Physics 2022-09-15 Timothy D. Loose , Patrick G. Sahrmann , Gregory A. Voth

Nuclear quantum effects (NQE) tend to generate delocalized molecular dynamics due to the inclusion of the zero point energy and its coupling with the anharmonicities in interatomic interactions. Here, we present evidence that NQE often…

We show how the path-integral formulation of quantum statistical mechanics can be used to construct practical {\em ab initio} techniques for computing the chemical potential of molecules adsorbed on surfaces, with full inclusion of quantum…

Materials Science · Physics 2015-05-18 D. Alfe` , M. J. Gillan

We introduce a unified framework -- Quantum Neural Ordinary and Partial Differential Equations (QNODEs and QNPDEs) -- which extends the continuous-time formalism of classical neural ordinary and partial differential equations into quantum…

Quantum Physics · Physics 2026-01-13 Yu Cao , Shi Jin , Nana Liu

Molecular dynamics (MD) simulations are used in biochemistry, physics, and other fields to study the motions, thermodynamic properties, and the interactions between molecules. Computational limitations and the complexity of these problems,…

Numerical Analysis · Mathematics 2018-01-17 F. Grogan , M. Holst , L. Lindblom , R. Amaro

Recent technological advances may lead to the development of small scale quantum computers capable of solving problems that cannot be tackled with classical computers. A limited number of algorithms has been proposed and their relevance to…

Quantum Physics · Physics 2020-07-07 Dries Sels , Hesam Dashti , Samia Mora , Olga Demler , Eugene Demler