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The definition of the classical transition state theory (TST) as a t= 0+ limit of the flux-side time correlation function relies on the assumption that simultaneous measurement of population and flux is a well defined physical process.…

Chemical Physics · Physics 2016-03-23 Seogjoo Jang , Gregory A. Voth

Discrete-state, continuous-time Markov models are widely used in the modeling of biochemical reaction networks. Their complexity often precludes analytic solution, and we rely on stochastic simulation algorithms to estimate system…

Quantitative Methods · Quantitative Biology 2016-05-20 Christopher Lester , Christian A. Yates , Michael B. Giles , Ruth E. Baker

In an experimental study of single enzyme reactions, it has been proposed that the rate constants of the enzymatic reactions fluctuate randomly, according to a given distribution. To quantify the uncertainty arising from random rate…

Quantitative Methods · Quantitative Biology 2012-02-07 Chia Ying Lee

We propose a methodology for fully automated calculation of thermal rate coefficients of gas phase chemical reactions, which is based on combining the ring polymer molecular dynamics (RPMD) with the machine-learning interatomic potentials…

Chemical Physics · Physics 2018-12-26 Ivan S. Novikov , Yury V. Suleimanov , Alexander V. Shapeev

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

Estimating reaction rates and chemical stability is fundamental, yet efficient methods for large-scale simulations remain out of reach despite advances in modeling and exascale computing. Direct simulation is limited by short timescales;…

Chemical Physics · Physics 2025-12-15 Rohit Goswami

Autonomous computations that rely on automated reaction network elucidation algorithms may pave the way to make computational catalysis on a par with experimental research in the field. Several advantages of this approach are key to…

Materials Science · Physics 2022-03-18 Miguel Steiner , Markus Reiher

For a theoretical understanding of the reactivity of complex chemical systems, relative energies of stationary points on potential energy hypersurfaces need to be calculated to high accuracy. Due to the large number of intermediates present…

Chemical Physics · Physics 2018-10-30 Gregor N. Simm , Markus Reiher

Determining possible failure scenarios is a critical step in the evaluation of autonomous vehicle systems. Real-world vehicle testing is commonly employed for autonomous vehicle validation, but the costs and time requirements are high.…

Robotics · Computer Science 2019-08-08 Anthony Corso , Peter Du , Katherine Driggs-Campbell , Mykel J. Kochenderfer

The identification of trajectories that contribute to the reaction rate is the crucial dynamical ingredient in any classical chemical reactivity calculation. This problem often requires a full scale numerical simulation of the dynamics, in…

Statistical Mechanics · Physics 2012-06-20 Thomas Bartsch , F. Revuelta , R. M. Benito , F. Borondo

Heterogenous reactions typically consist of multiple elementary steps and their rate coefficients are of fundamental importance in elucidating the mechanisms and micro-kinetics of these processes. Transition-state theory (TST) for…

Chemical Physics · Physics 2025-03-04 Chen Li , Xiongzhi Zeng , Yongle Li , Zhenyu Li , Hua Guo , Bin Jiang

During reactive transport modeling, the computational cost associated with chemical reaction calculations is often 10-100 times higher than that of transport calculations. Most of these costs results from chemical equilibrium calculations…

Optimization and Control · Mathematics 2017-08-17 Allan M. M. Leal , Dmitrii A. Kulik , Martin O. Saar

Uncertainty quantification is crucial for building reliable and trustable machine learning systems. We propose to estimate uncertainty in recurrent neural networks (RNNs) via stochastic discrete state transitions over recurrent timesteps.…

Machine Learning · Computer Science 2020-11-25 Cheng Wang , Carolin Lawrence , Mathias Niepert

A practical method for finding free energy barriers for transitions in high-dimensional classical and quantum systems is presented and used to calculate the dissociative sticking probability of H2 on a metal surface within transition state…

chem-ph · Physics 2009-10-22 Gregory Mills , Hannes Jonsson

We introduce a path sampling method for the computation of rate constants for systems with a highly diffusive character. Based on the recently developed algorithm of transition interface sampling (TIS) this procedure increases the…

Statistical Mechanics · Physics 2009-11-10 Daniele Moroni , Peter G. Bolhuis , Titus S. van Erp

The dynamics of the reaction H + OH $\to$ O (3P) + H2 have been studied in a series of quasi-classical trajectory (QCT) calculations and transition state theory (TST) methods using high quality 3A' and 3A'' potential energy surfaces (PESs).…

Solar and Stellar Astrophysics · Physics 2014-02-27 Xiaohu Li , Carina Arasa , Marc C. van Hemert , Ewine F. van Dishoeck

We analyzed the stochastic behavior of systems controlled by autocatalytic reaction A+X -> X+X. Assuming the distribution of reacting particles in the system volume to be uniform, we introduced the notion of the point model of reaction…

Statistical Mechanics · Physics 2007-05-23 L. Pal

Safety is a central requirement for automated vehicles. As such, the assessment of risk in automated driving is key in supporting both motion planning technologies and safety evaluation. In automated driving, risk is characterized by two…

Robotics · Computer Science 2026-01-22 Leon Tolksdorf , Arturo Tejada , Jonas Bauernfeind , Christian Birkner , Nathan van de Wouw

Large-scale electrification is vital to addressing the climate crisis, but several scientific and technological challenges remain to fully electrify both the chemical industry and transportation. In both of these areas, new electrochemical…

Many physical and biological processes are stochastic in nature. Computational models and simulations of such processes are a mathematical and computational challenge. The basic stochastic simulation algorithm was published by D. Gillespie…

Quantitative Methods · Quantitative Biology 2009-11-13 Azi Lipshtat
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