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Reaction coordinates are widely used throughout chemical physics to model and understand complex chemical transformations. We introduce a definition of the natural reaction coordinate, suitable for condensed phase and biomolecular systems,…

Statistical Mechanics · Physics 2017-03-08 Robert T. McGibbon , Brooke E. Husic , Vijay S. Pande

The discovery of transition pathways to unravel distinct reaction mechanisms and, in general, rare events that occur in molecular systems is still a challenge. Recent advances have focused on analyzing the transition path ensemble using the…

Understanding mechanisms of rare but important events in complex molecular systems, such as protein folding or ligand (un)binding, requires accurately mapping transition paths from an initial to a final state. The committor is the ideal…

Chemical Physics · Physics 2026-04-28 Rik S. Breebaart , Gianmarco Lazzeri , Roberto Covino , Peter G. Bolhuis

Reaction coordinates (RCs) are the few essential coordinates of a protein that control its functional processes, such as allostery, enzymatic reaction, and conformational change. They are critical for understanding protein function and…

Biological Physics · Physics 2024-09-02 Ao Ma , Huiyu Li

The identification of meaningful reaction coordinates plays a key role in the study of complex molecular systems whose essential dynamics is characterized by rare or slow transition events. In a recent publication, precise defining…

Computational Physics · Physics 2018-11-14 Andreas Bittracher , Ralf Banisch , Christof Schütte

We consider a class of nonequilibrium systems of interacting agents with pairwise interactions and quenched disorder in the dynamics featuring, in the thermodynamic limit, phase transitions. We provide conditions on the microscopic…

Statistical Mechanics · Physics 2025-01-24 Niccolò Zagli , Valerio Lucarini , Grigorios Pavliotis

Finding optimal reaction coordinates and predicting accurate kinetic rates for activated processes are two of the foremost challenges of molecular simulations. We introduce an algorithm that tackles the two problems at once: starting from a…

Statistical Mechanics · Physics 2023-10-30 Line Mouaffac , Karen Palacio-Rodriguez , Fabio Pietrucci

Rare but critical events in complex systems, such as protein folding, chemical reactions, disease progression, and extreme weather or climate phenomena, are governed by complex, high-dimensional, stochastic dynamics. Identifying an optimal…

Chemical Physics · Physics 2026-03-04 Polina V. Banushkina , Sergei V. Krivov

Reaction Coordinates (RCs) are indicators of hidden, low-dimensional mechanisms that govern the long-term behavior of high-dimensional stochastic processes. We present a novel and general variational characterization of optimal RCs and…

Dynamical Systems · Mathematics 2021-09-23 Andreas Bittracher , Mattes Mollenhauer , Péter Koltai , Christof Schütte

We present an overview of the reaction coordinate approach to handling strong system-reservoir interactions in quantum thermodynamics. This technique is based on incorporating a collective degree of freedom of the reservoir (the reaction…

Quantum Physics · Physics 2019-05-01 Ahsan Nazir , Gernot Schaller

Reaction systems are discrete dynamical systems inspired by bio-chemical processes, whose dynamical behaviour is expressed by set-theoretic operations on finite sets. Reaction systems thus provide a description of bio-chemical phenomena…

Formal Languages and Automata Theory · Computer Science 2020-08-05 Alberto Dennunzio , Enrico Formenti , Luca Manzoni , Antonio E. Porreca

Identifying reaction coordinates(RCs) is an active area of research, given the crucial role RCs play in determining the progress of a chemical reaction. The choice of the reaction coordinate is often based on heuristic knowledge. However,…

Chemical Physics · Physics 2024-01-17 Abhijit Gupta

Modern potential energy surfaces have shifted attention to molecular simulations of chemical reactions. While various methods can estimate rate constants for conformational transitions in molecular dynamics simulations, their applicability…

Chemical Physics · Physics 2024-07-10 Simon Ghysbrecht , Luca Donati , Bettina G. Keller

Interpretable reaction coordinates are essential for understanding rare conformational transitions in molecular dynamics. The Atomistic Mechanism Of Rare Events in Molecular Dynamics (AMORE-MD) framework enhances interpretability of…

Chemical Physics · Physics 2026-02-27 Jakob J. Kresse , Alexander Sikorski , Marcus Weber

The reaction-coordinate mapping is a useful technique to study complex quantum dissipative dynamics into structured environments. In essence, it aims to mimic the original problem by means of an 'augmented system', which includes a suitably…

Quantum Physics · Physics 2019-09-11 Luis A. Correa , Buqing Xu , Benjamin Morris , Gerardo Adesso

We develop an efficient method to calculate probabilities of large deviations from the typical behavior (rare events) in reaction--diffusion systems. The method is based on a semiclassical treatment of underlying "quantum" Hamiltonian,…

Statistical Mechanics · Physics 2009-11-10 Vlad Elgart , Alex Kamenev

Quantum mechanical methods have been devised for the elucidation and clarification of reaction paths of chemical processes over decades. While they are typically deployed in routine calculations on systems for which some insights have…

Understanding kinetics including reaction pathways and associated transition rates is an important yet difficult problem in numerous chemical and biological systems especially in situations with multiple competing pathways. When these…

Computational Physics · Physics 2021-09-22 Sun-Ting Tsai , Zachary Smith , Pratyush Tiwary

We propose a reinforcement learning based method to identify important configurations that connect reactant and product states along chemical reaction paths. By shooting multiple trajectories from these configurations, we can generate an…

Chemical Physics · Physics 2023-05-30 Senwei Liang , Aditya N. Singh , Yuanran Zhu , David T. Limmer , Chao Yang

Due to the time scale problem, rare events are not accessible by straight forward molecular dynamics. The presence of multiple reaction channels complicates the problem even further. The feasibility of the standard free energy based methods…

Statistical Mechanics · Physics 2009-11-13 Titus S. van Erp
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