Ring-polymer molecular dynamics: Quantum effects in chemical dynamics from classical trajectories in an extended phase space

S Habershon, DE Manolopoulos… - Annual review of …, 2013 - annualreviews.org
This article reviews the ring-polymer molecular dynamics model for condensed-phase
quantum dynamics. This model, which involves classical evolution in an extended ring …

Path-integral approximations to quantum dynamics

SC Althorpe - The European Physical Journal B, 2021 - Springer
Imaginary-time path-integral or 'ring-polymer'methods have been used to simulate quantum
(Boltzmann) statistical properties since the 1980s. This article reviews the more recent …

How to remove the spurious resonances from ring polymer molecular dynamics

M Rossi, M Ceriotti, DE Manolopoulos - The Journal of chemical …, 2014 - pubs.aip.org
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 …

Chemical kinetics and mechanisms of complex systems: A perspective on recent theoretical advances

SJ Klippenstein, VS Pande… - Journal of the American …, 2014 - ACS Publications
This Perspective presents a personal overview of the current status of the theory of chemical
kinetics and mechanisms for complex processes. We attempt to assess the status of the field …

Ring-polymer molecular dynamics rate-theory in the deep-tunneling regime: Connection with semiclassical instanton theory

JO Richardson, SC Althorpe - The Journal of chemical physics, 2009 - pubs.aip.org
We demonstrate that the ring-polymer molecular dynamics (RPMD) method is equivalent to
an automated and approximate implementation of the “Im F” version of semiclassical …

Chemical reaction rate coefficients from ring polymer molecular dynamics: Theory and practical applications

YV Suleimanov, FJ Aoiz, H Guo - The Journal of Physical …, 2016 - ACS Publications
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 …

Bimolecular reaction rates from ring polymer molecular dynamics: Application to H+ CH4→ H2+ CH3

YV Suleimanov, R Collepardo-Guevara… - The Journal of …, 2011 - pubs.aip.org
In a recent paper, we have developed an efficient implementation of the ring polymer
molecular dynamics (RPMD) method for calculating bimolecular chemical reaction rates in …

Ring polymer molecular dynamics approach to quantum dissociative chemisorption rates

L Zhang, J Zuo, YV Suleimanov… - The Journal of Physical …, 2023 - ACS Publications
A ring polymer molecular dynamics (RPMD) method is proposed for the calculation of the
dissociative chemisorption rate coefficient on surfaces. The RPMD rate theory is capable of …

Ring polymer molecular dynamics with surface hopping

P Shushkov, R Li, JC Tully - The Journal of Chemical Physics, 2012 - pubs.aip.org
We propose a ring polymer molecular dynamics method for the calculation of chemical rate
constants that incorporates nonadiabatic effects by the surface-hopping approach. Two …

Derivation of a true (t→ 0+) quantum transition-state theory. I. Uniqueness and equivalence to ring-polymer molecular dynamics transition-state-theory

TJH Hele, SC Althorpe - The Journal of chemical physics, 2013 - pubs.aip.org
Surprisingly, there exists a quantum flux-side time-correlation function which has a non-zero
t→ 0+ limit and thus yields a rigorous quantum generalization of classical transition-state …