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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…

Chemical Physics · Physics 2021-05-26 Hui Yang , Wenbin Fan , Junhua Fang , Jianing Song , Yongle Li

Ring polymer molecular dynamics (RPMD) has proven to be an accurate approach for calculating thermal rate coefficients of various chemical reactions. For wider application of this methodology, efficient ways to generate the underlying…

Chemical Physics · Physics 2020-01-08 Ivan S. Novikov , Alexander V. Shapeev , Yury V. Suleimanov

We discuss a theoretical approach that employs machine learning potential energy surfaces (ML-PESs) in the nonadiabatic dynamics simulation of polyatomic systems by taking 6-aminopyrimidine as a typical example. The Zhu-Nakamura theory is…

Chemical Physics · Physics 2018-05-11 Deping Hu , Yu Xie , Xusong Li , Lingyue Li , Zhenggang Lan

We describe a path-integral approach for including nuclear quantum effects in non-adiabatic chemical dynamics simulations. For a general physical system with multiple electronic energy levels, a corresponding isomorphic Hamiltonian is…

Statistical Mechanics · Physics 2018-06-05 Xuecheng Tao , Philip Shushkov , Thomas Miller

Mixed-quantum-classical molecular dynamics simulation implies an effective measurement on the electronic states owing to continuously tracking the atomic forces.Based on this insight, we propose a quantum trajectory mean-field approach for…

Chemical Physics · Physics 2014-08-08 Wei Feng , Luting Xu , Xin-Qi Li , Weihai Fang , YiJing Yan

A generalized formalism of the so-called non-adiabatic quantum molecular dynamics is presented, which applies for atomic many-body systems in external laser fields. The theory treats the nuclear dynamics and electronic transitions…

Atomic Physics · Physics 2007-05-23 Thomas Kunert , Ruediger Schmidt

This article deals with non-adiabatic processes (i.e. processes excluded by the adiabatic theorem) from the geometrical (group-theoretical) point of view. An approximated formula for the probabilities of the non-adiabatic transitions is…

Quantum Physics · Physics 2009-11-06 M. S. Marinov , E. Strahov

An approximate approach to quantum vibrational dynamics, "Brownian Chain Molecular Dynamics (BCMD)", is proposed to alleviate the chain resonance and curvature problems in the imaginary time-based path integral (PI) simulation. Here the…

Chemical Physics · Physics 2024-01-26 Motoyuki Shiga

We present a theoretical study of the impact of an electrostatic field combined with non-resonant linearly polarized laser pulses on the rotational dynamics of linear molecules. Within the rigid rotor approximation, we solve the…

Atomic Physics · Physics 2015-06-05 Juan J. Omiste , Rosario González-Férez

A general variational approach for computing the rovibrational dynamics of polyatomic molecules in the presence of external electric fields is presented. Highly accurate, full-dimensional variational calculations provide a basis of…

Chemical Physics · Physics 2018-04-18 Alec Owens , Andrey Yachmenev

This study introduces a novel computational approach based on ratchet-and-pawl molecular dynamics (rMD) for accurately estimating ligand dissociation kinetics in protein-ligand complexes. By integrating Kramers' theory with Bell's equation,…

Chemical Physics · Physics 2025-08-19 Bruno Stegani , Riccardo Capelli

We analyse the golden rule limit of the recently proposed isomorphic ring polymer (iso-RP) method. This method aims to combine an exact expression for the quantum mechanical partition function of a system with multiple electronic states…

Chemical Physics · Physics 2019-12-30 Joseph E. Lawrence , David E. Manolopoulos

Two of the most successful methods that are presently available for simulating the quantum dynamics of condensed phase systems are centroid molecular dynamics (CMD) and ring polymer molecular dynamics (RPMD). Despite their conceptual…

Chemical Physics · Physics 2014-07-04 Mariana Rossi , Michele Ceriotti , David E. Manolopoulos

We propose a novel method to describe realistically ionization processes with absorbing boundary conditions in basis expansion within the formalism of the so-called Non-Adiabatic Quantum Molecular Dynamics. This theory couples…

Quantum Physics · Physics 2015-06-26 Mathias Uhlmann , Thomas Kunert , Ruediger Schmidt

Non-equilibrium molecular-scale dynamics, where fast electron transport couples with slow chemical state evolution, underpins the complex behaviors of molecular memristors, yet a general model linking these dynamics to neuromorphic…

Chemical Physics · Physics 2026-05-19 Yueqi Chen , Xuan Ji , Xi Yu

Using a generalized energy-conserving transition probability, it is shown how nonadiabatic calculations, within the Wigner-Heisenberg representation of quantum mechanics, can be reliably extended to far longer times than those allowed by a…

Quantum Physics · Physics 2010-07-16 Daniel A. Uken , Alessandro Sergi , Francesco Petruccione

Constructing an accurate approximation to nonadiabatic rate theory which is valid for arbitrary values of the electronic coupling has been a long-standing challenge in theoretical chemistry. Ring-polymer instanton theories offer a very…

Chemical Physics · Physics 2025-05-09 Rhiannon A. Zarotiadis , Joseph E. Lawrence , Jeremy O. Richardson

We propose a trajectory-based method for simulating nonadiabatic dynamics in molecular systems with two coupled electronic states. Employing a quantum-mechanically exact mapping of the two-level problem to a spin-1/2 coherent state, we…

Chemical Physics · Physics 2020-03-03 Johan E. Runeson , Jeremy O. Richardson

The position-based dynamics (PBD) algorithm is a popular and versatile technique for real-time simulation of deformable bodies, but is only applicable to forces that can be expressed as linearly compliant constraints. In this work, we…

Graphics · Computer Science 2025-12-01 Manas Chaudhary , Chandradeep Pokhariya , Rahul Narain

Dynamics is studied of an electron in a quasi-one-dimensional ballistic ring under circularly polarized electromagnetic field propagating along the normal to the ring plane. The average emission intensity from the ring is calculated. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. M. Epshtein , E. G. Fedorov , G. M. Shmelev