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We present a method to sample reactive pathways via biased molecular dynamics simulations in trajectory space. We show that the use of enhanced sampling techniques enables unconstrained exploration of multiple reaction routes. Time…

Computational Physics · Physics 2020-07-15 Davide Mandelli , Barak Hirshberg , Michele Parrinello

Turbulent reacting flows occur in a variety of engineering applications such as chemical reactors and power generating equipment (gas turbines and internal combustion engines). Turbulent reacting flows are characterized by two main…

Computational Engineering, Finance, and Science · Computer Science 2022-10-12 S. M. Aithal

We present a family of algorithms for the fast determination of reaction paths and barriers in phase space and the computation of the corresponding rates. The method requires the reaction times be large compared to the microscopic time,…

Statistical Mechanics · Physics 2009-11-10 Sorin Tanase-Nicola , Jorge Kurchan

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…

Chemical Physics · Physics 2017-02-08 Yury V. Suleimanov , F. Javier Aoiz , Hua Guo

We consider complex dynamical systems showing metastable behavior but no local separation of fast and slow time scales. The article raises the question of whether such systems exhibit a low-dimensional manifold supporting its effective…

Dynamical Systems · Mathematics 2019-07-10 Andreas Bittracher , Péter Koltai , Stefan Klus , Ralf Banisch , Michael Dellnitz , Christof Schütte

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…

Chemical Physics · Physics 2025-04-03 Chen Li , Liang Zhang , Bin Jiang , Hua Guo

We propose a new computational method for astrophysical reaction rate of radiative capture process. In the method, an evolution of a wave function is calculated along the imaginary-time axis which is identified as the inverse temperature.…

Nuclear Theory · Physics 2015-06-04 Kazuhiro Yabana , Yasuro Funaki

The accuracy of rate constants calculated using transition state theory depends crucially on the correct identification of a recrossing--free dividing surface. We show here that it is possible to define such optimal dividing surface in…

Computing accurate rate constants for catalytic events occurring at the surface of a given material represents a challenging task with multiple potential applications in chemistry. To address this question, we propose an approach based on a…

Ring-polymer instanton theory has been developed to simulate the quantum dynamics of molecular systems at low temperatures. Chemical reaction rates can be obtained by locating the dominant tunneling pathway and analyzing fluctuations around…

Chemical Physics · Physics 2019-03-25 Pierre Winter , Jeremy O. Richardson

Analyzing synthesis pathways for target molecules in a chemical reaction network annotated with information on the kinetics of individual reactions is an area of active study. This work presents a computational methodology for searching for…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Adittya Pal , Rolf Fagerberg , Jakob Lykke Andersen , Peter Dittrich , Daniel Merkle

The rate of a chemical reaction can often be determined by the properties of a rank-1 saddle and the associated transition state separating reactants and products. We have found evidence that such rates can be controlled and even enhanced…

Chemical Physics · Physics 2021-09-28 Johannes Reiff , Robin Bardakcioglu , Matthias Feldmaier , Jörg Main , Rigoberto Hernandez

Transition State Theory is a central cornerstone in reaction dynamics. Its key step is the identification of a dividing surface that is crossed only once by all reactive trajectories. This assumption is often badly violated, especially when…

Chemical Physics · Physics 2015-05-07 F. Revuelta , Thomas Bartsch , R. M. Benito , F. Borondo

We propose a Poincare-invariant description for the effective dynamics of systems of charged particles by means of intrinsic multipole moments. To achieve this goal we study the effective dynamics of such systems within two frameworks --…

High Energy Physics - Theory · Physics 2008-11-26 P. O. Kazinski

A sampling procedure to compute exactly the rate of activated processes arising in systems at equilibrium or nonequilibrium steady state is presented. The procedure is a generalization of the method in [A. Warmflash, P. Bhimalapuram, and A.…

Computational Physics · Physics 2009-04-27 Eric Vanden-Eijnden , Maddalena Venturoli

A method to generate reactive trajectories, namely equilibrium trajectories leaving a metastable state and ending in another one is proposed. The algorithm is based on simulating in parallel many copies of the system, and selecting the…

Statistical Mechanics · Physics 2015-05-19 Frédéric Cérou , Arnaud Guyader , Tony Lelièvre , David Pommier

Reaction rates are a complicated function of molecular interactions, which can be selected from vast chemical design spaces. Seeking the design that optimizes a rate is a particularly challenging problem since the rate calculation for any…

Statistical Mechanics · Physics 2020-11-18 Alex Albaugh , Todd R. Gingrich

Our knowledge about the "cold" Universe often relies on molecular spectra. A general property of such spectra is that the energy level populations are rarely at local thermodynamic equilibrium. Solving the radiative transfer thus requires…

Instrumentation and Methods for Astrophysics · Physics 2018-01-23 Jérôme Loreau , François Lique , Alexandre Faure

In many biological situations, a species arriving from a remote source diffuses in a domain confined between two parallel surfaces until it finds a binding partner. Since such a geometric shape falls in between two- and three-dimensional…

Chemical Physics · Physics 2019-11-05 Denis S. Grebenkov , Diego Krapf

Chemical kinetic models in terms of ordinary differential equations correspond to finite dimensional dissipative dynamical systems involving a multiple time scale structure. Most dimension reduction approaches aimed at a slow…

Dynamical Systems · Mathematics 2014-10-27 Dirk Lebiedz , Jonas Unger