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We address the calculation of microcanonical reaction rates for processes involving significant nuclear quantum effects using ring-polymer molecular dynamics (RPMD), both with and without electronically non-adiabatic transitions. After…

统计力学 · 物理学 2020-04-22 Xuecheng Tao , Philip Shushkov , Thomas F. Miller

The ring polymer molecular dynamics (RPMD) rate theory is an efficient and accurate method for estimating rate coefficients of chemical reactions affected by nuclear quantum effects. The commonly used RPMD treatment of gas-phase bimolecular…

化学物理 · 物理学 2025-04-03 Chen Li , Liang Zhang , Bin Jiang , Hua Guo

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…

统计力学 · 物理学 2018-01-17 Karsten Kreis , Kurt Kremer , Raffaello Potestio , Mark E. Tuckerman

We introduce the coherent state mapping ring-polymer molecular dynamics (CS-RPMD), a new method that accurately describes electronic non-adiabatic dynamics with explicit nuclear quantization. This new approach is derived by using coherent…

化学物理 · 物理学 2018-01-17 Sutirtha Chowdhury , Pengfei Huo

We derive the non-adiabatic ring polymer molecular dynamics (RPMD) approach in the phase space of the SU(N) Lie Group. This method, which we refer to as the spin mapping non-adiabatic RPMD (SM-NRPMD), is based on the spin-mapping formalism…

化学物理 · 物理学 2023-02-15 Duncan Bossion , Sutirtha N. Chowdhury , Pengfei Huo

The ring-polymer molecular dynamics (RPMD) was used to calculate the thermal rate coefficients of the two-channel roaming reaction H + MgH. Both reaction channels, tight and roaming, are explicitly considered. This is a pioneering attempt…

化学物理 · 物理学 2021-05-26 Hui Yang , Wenbin Fan , Junhua Fang , Jianing Song , Yongle Li

An exact real time quantum dynamics preaveraged over imaginary time path integral is formulated for general condensed phase equilibrium ensemble. This formulation results in the well-known centroid dynamics approach upon filtering of…

量子物理 · 物理学 2014-02-11 Seogjoo Jang

Extended Lagrangian molecular dynamics (XLMD) is a general method for performing molecular dynamics simulations using quantum and classical many-body potentials. Recently several new XLMD schemes have been proposed and tested on several…

数值分析 · 数学 2020-02-28 Dong An , Sara Y. Cheng , Teresa Head-Gordon , Lin Lin , Jianfeng Lu

Mean-field Ring Polymer Molecular Dynamics (MF-RPMD) offers a computationally efficient method for the simulation of reaction rates in multi-level systems. Previous work has established that, to model a nonadiabatic state-to-state reaction…

化学物理 · 物理学 2024-05-09 Nathan London , Siyu Bu , Britta Ann Johnson , Nandini Ananth

We present a new non-adiabatic ring polymer molecular dynamics (NRPMD) method based on the spin mapping formalism, which we refer to as the spin-mapping NRPMD (SM-NRPMD) approach. We derive the path-integral partition function expression…

化学物理 · 物理学 2021-06-02 Duncan Bossion , Sutirtha N. Chowdhury , Pengfei Huo

In this paper, we propose a cost-reduced method for finite-temperature molecular dynamics on a near-term quantum computer, Quantum Car-Parrinello molecular dynamics (QCPMD). One of the most promising applications of near-term quantum…

量子物理 · 物理学 2022-12-23 Kohdai Kuroiwa , Takahiro Ohkuma , Hirokazu Sato , Ryosuke Imai

This Feature Article presents an overview of the current status of Ring Polymer Molecular Dynamics (RPMD) rate theory. We first analyze the RPMD approach and its connection to quantum transition-state theory. We then focus on its practical…

化学物理 · 物理学 2017-02-08 Yury V. Suleimanov , F. Javier Aoiz , Hua Guo

Mean-Field Ring Polymer Molecular Dynamics (MF-RPMD) is a powerful, efficient, and accurate method for approximate quantum dynamic simulations of multi-level system dynamics. Initial efforts to compute nonadiabatic reaction rates using…

化学物理 · 物理学 2021-04-29 Britta Ann Johnson , Nandini Ananth

With the path integral approach, the thermal average in a multi-electronic-state quantum systems can be approximated by the ring polymer representation on an extended configuration space, where the additional degrees of freedom are…

数值分析 · 数学 2020-11-24 Xiaoyu Lei , Zhennan Zhou

Ring polymer molecular dynamics (RPMD) is an accurate method for calculating thermal chemical reaction rates. It has recently been discovered that low-temperature calculations are strongly affected by the simulation parameters. Here, for…

化学物理 · 物理学 2021-04-28 Ivan S. Novikov , Yury V. Suleimanov , Alexander V. Shapeev

Path integral molecular dynamics simulations, combined with an ab initio evaluation of interactions using electronic structure theory, incorporate the quantum mechanical nature of both the electrons and nuclei, which are essential to…

化学物理 · 物理学 2016-02-15 Ondrej Marsalek , Thomas E. Markland

We describe how the fast quasi-centroid molecular dynamics (f-QCMD) method can be applied to condensed phase systems by approximating the quasi-centroid potential of mean force as a sum of inter- and intra-molecular corrections to the…

化学物理 · 物理学 2023-10-20 Joseph E. Lawrence , Annina Z. Lieberherr , Theo Fletcher , David E. Manolopoulos

The path integral molecular dynamics (PIMD) method provides a convenient way to compute the quantum mechanical structural and thermodynamic properties of condensed phase systems at the expense of introducing an additional set of…

In Part I [J. Chem. Phys. 138, 084108 (2013)] we derived a quantum transition-state theory by taking the t->0+ (short-time) limit of a new form of quantum flux-side time-correlation function containing a ring-polymer dividing surface. This…

化学物理 · 物理学 2013-09-05 Stuart C. Althorpe , Timothy J. H. Hele

We develop a path-integral dynamics method for water that resembles centroid molecular dynamics (CMD), except that the centroids are averages of curvilinear, rather than cartesian, bead coordinates. The curvilinear coordinates are used…

化学物理 · 物理学 2019-09-04 George Trenins , Michael J. Willatt , Stuart C. Althorpe