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Computing long-timescale kinetics of biomolecular processes remains a major challenge for atomistic simulations. A way out is to exploit local kinetic information to construct the global stationary flux across the reaction space. The…

Chemical Physics · Physics 2026-05-19 Ru Wang , Xiaojun Ji , Hao Wang , Wenjian Liu

This study address the computational determination of catalytic reaction rates by moving beyond traditional Transition State Theory (TST), addressing its limitations in complex systems. The Hill relation framework, integrated with Adaptive…

Chemical Physics · Physics 2025-11-25 Thomas Pigeon , Manuel Corral Valero , Pascal Raybaud

Classical transition state theory (TST) is the cornerstone of reaction rate theory. It postulates a partition of phase space into reactant and product regions, which are separated by a dividing surface that reactive trajectories must cross.…

Statistical Mechanics · Physics 2007-05-23 Thomas Bartsch , Rigoberto Hernandez , T. Uzer

A recently developed model chemistry (jun-Cheap) has been slightly modified and proposed as an effective, reliable and parameter-free scheme for the computation of accurate reaction rates with special reference to astrochemical and…

Chemical Physics · Physics 2021-06-25 Vincenzo Barone , Jacopo Lupi , Zoi Salta , Nicola Tasinato

Identifying transition states (TSs), the high-energy configurations that molecules pass through during chemical reactions, is essential for understanding and designing chemical processes. However, accurately and efficiently identifying…

Chemical Physics · Physics 2025-07-23 Samir Darouich , Vinh Tong , Tanja Bien , Johannes Kästner , Mathias Niepert

The state transition algorithm (STA), as an intelligent optimization method grounded in constructivist learning, has been demonstrated to be highly effective in solving complex optimization problems. However, the standard STA suffers from…

Optimization and Control · Mathematics 2026-04-30 Xiaojun Zhou , Chunhua Yang , Weihua Gui , Tingwen Huang

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

We address the problem of estimating steady-state quantities associated to systems of stochastic chemical kinetics. In most cases of interest these systems are analytically intractable, and one has to resort to computational methods to…

Quantitative Methods · Quantitative Biology 2014-01-21 Andreas Milias-Argeitis , John Lygeros , Mustafa Khammash

Transition Path Theory (TPT) provides a rigorous framework to investigate the dynamics of rare thermally activated transitions. In this theory, a central role is played by the forward committor function q^+(x), which provides the ideal…

Statistical Mechanics · Physics 2018-08-15 G. Bartolucci , S. Orioli , P. Faccioli

We analyze the efficiency of different methods for the calculation of reaction rates in the case of two simple analytical benchmark systems. Two classes of methods are considered: the first are based on the free energy calculation along a…

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

Spatial multiscale methods have established themselves as useful tools for extending the length scales accessible by conventional statics (i.e., zero temperature molecular dynamics). Recently, extensions of these methods, such as the…

Numerical Analysis · Mathematics 2014-09-23 Andrew Binder , Mitchell Luskin , Danny Perez , Arthur F. Voter

Instanton theory is an established method to calculate rate constants of chemical reactions including atom tunneling. Technical and methodological improvements increased its applicability. Still, a large number of energy and gradient…

Chemical Physics · Physics 2020-09-10 Jan Meisner , Johannes Kästner

We have generated an open-source dataset of over 30000 organic chemistry gas phase partition functions. With this data, a machine learning deep neural network estimator was trained to predict partition functions of unknown organic chemistry…

Chemical Physics · Physics 2022-03-08 Evan Komp , Stéphanie Valleau

A quantum version of a recent formulation of transition state theory in {\em phase space} is presented. The theory developed provides an algorithm to compute quantum reaction rates and the associated Gamov-Siegert resonances with very high…

Chaotic Dynamics · Physics 2009-11-11 Roman Schubert , Holger Waalkens , Stephen Wiggins

The framework of transition state theory (TST) provides a powerful way for analyzing the dynamics of physical and chemical reactions. While TST has already been successfully used to obtain reaction rates for systems with a single…

Chemical Physics · Physics 2021-02-26 Johannes Reiff , Matthias Feldmaier , Jörg Main , Rigoberto Hernandez

Ab initio instanton rate theory is a computational method for rigorously including tunnelling effects into calculations of chemical reaction rates based on a potential-energy surface computed on the fly from electronic-structure theory.…

Chemical Physics · Physics 2018-05-08 Gabriel Laude , Danilo Calderini , David P. Tew , Jeremy O. Richardson

In terms of the concepts of state and state transition, a new heuristic random search algorithm named state transition algorithm is proposed. For continuous function optimization problems, four special transformation operators called…

Optimization and Control · Mathematics 2013-12-10 Xiaojun Zhou , Chunhua Yang , Weihua Gui

A large part of modern machine learning theory often involves computing the high-dimensional expected trace of a rational expression of large rectangular random matrices. To symbolically compute such quantities using free probability…

Machine Learning · Computer Science 2025-04-16 Arjun Subramonian , Elvis Dohmatob

In the presence of multiscale dynamics in a reaction network, direct simulation methods become inefficient as they can only advance the system on the smallest scale. This work presents stochastic averaging techniques to accelerate…

Probability · Mathematics 2016-03-23 Araz Hashemi , Marcel Nunez , Petr Plechac , Dionisios G. Vlachos

Chemical reactions are often associated with an energy barrier along the reaction pathway which hinders the spontaneity of the reaction. Changing the energy barrier along the reaction pathway allows one to modulate the performance of a…

Computational Physics · Physics 2018-09-26 Sudipta Kundu , Satadeep Bhattacharjee , Seung-Cheol Lee , Manish Jain
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