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State machines are a common model for robot behaviors. Transition functions often rely on parameterized conditions to model preconditions for the controllers, where the correct values of the parameters depend on factors relating to the…

Robotics · Computer Science 2020-01-14 Jarrett Holtz , Arjun Guha , Joydeep Biswas

Spin-exchange collisions have been widely studied in recent years, and various quantum-mechanical scattering approaches have been developed to calculate the rates. However, these methods based on global knowledge of wavefunctions can be…

Chemical Physics · Physics 2026-01-28 Debaarjun Mukherjee , Jeremy O. Richardson

Aim: We present an improved database of temperature dependent rate coefficients for rotational state-to-state transitions in H$_{2}$O + H$_{2}$O collisions. The database includes 231 transitions between the lower $para$- and 210 transitions…

Chemical Physics · Physics 2023-10-19 Bikramaditya Mandal , Dmitri Babikov

Intermolecular hydrogen transfer free radical reactions are common in the combustion process and in a number of organic chemistry reactions. Therefore, evaluating the pressure and temperature-dependent rate constants of them is of great…

Chemical Physics · Physics 2024-04-01 Yi Sun

Transition states, the first-order saddle points on the potential energy surfaces, govern the kinetics and mechanisms of chemical reactions and conformational changes. Locating them is challenging because transition pathways are…

Chemical Physics · Physics 2026-04-30 Hyukjun Lim , Soojung Yang , Lucas Pinède , Miguel Steiner , Yuanqi Du , Rafael Gómez-Bombarelli

Biochemical reaction systems may be viewed as discrete event processes characterized by a number of states and state transitions. These systems may be modeled as state transition systems with transitions representing individual reaction…

Chemical Physics · Physics 2017-08-23 Scott M. Bugenhagen , Daniel A. Beard

For a transition between two stable states, the committor is the probability that the dynamics leads to one stable state before the other. It can be estimated from trajectory data by minimizing an expression for the transition rate that…

Statistical Mechanics · Physics 2025-12-09 Chatipat Lorpaiboon , Jonathan Weare , Aaron R. Dinner

Persistent monitoring of a spatiotemporal fluid process requires data sampling and predictive modeling of the process being monitored. In this paper we present PASST algorithm: Predictive-model based Adaptive Sampling of a Spatio-Temporal…

Robotics · Computer Science 2023-04-04 Sandeep Manjanna , Tom Z. Jiahao , M. Ani Hsieh

Canonical instanton theory is known to overestimate the rate constant close to a system-dependent crossover temperature and is inapplicable above that temperature. We compare the accuracy of the reaction rate constants calculated using…

Chemical Physics · Physics 2020-09-15 Sean McConnell , Johannes Kästner

Transition path theory provides a statistical description of the dynamics of a reaction in terms of local spatial quantities. In its original formulation, it is limited to reactions that consist of trajectories flowing from a reactant set A…

Data Analysis, Statistics and Probability · Physics 2022-09-21 Chatipat Lorpaiboon , Jonathan Weare , Aaron R. Dinner

Path integral implementation of the quantum instanton approximation currently belongs among the most accurate methods for computing quantum rate constants and kinetic isotope effects, but its use has been limited due to the rather high…

Chemical Physics · Physics 2017-05-10 Konstantin Karandashev , Jiri Vanicek

Quantum State Tomography is the task of determining an unknown quantum state by making measurements on identical copies of the state. Current algorithms are costly both on the experimental front -- requiring vast numbers of measurements --…

Quantum Physics · Physics 2018-12-18 Yihui Quek , Stanislav Fort , Hui Khoon Ng

In contrast to conventional robots, accurately modeling the kinematics and statics of continuum robots is challenging due to partially unknown material properties, parasitic effects, or unknown forces acting on the continuous body.…

Robotics · Computer Science 2024-12-03 Sven Lilge , Timothy D. Barfoot , Jessica Burgner-Kahrs

Model-based prediction of stochastic noise in biomolecular reactions often resorts to approximation with unknown precision. As a result, unexpected stochastic fluctuation causes a headache for the designers of biomolecular circuits. This…

Molecular Networks · Quantitative Biology 2018-08-07 Yuta Sakurai , Yutaka Hori

Presented in this paper is a derivation of a 2D catalytic reaction-based model to solve combinatorial optimization problems (COPs). The simulated catalytic reactions, a computational metaphor, occurs in an artificial chemical reactor that…

Emerging Technologies · Computer Science 2015-07-01 Jaderick P. Pabico

Two separate algorithms for calculating the intermediate states, using cellular automata and the initial conditions in the rate matrix for the diffusion-collision model are introduced. They enable easy and fast calculations of the folding…

Computational Physics · Physics 2007-05-23 Zlatko K. Vasilkoski , David L. Weaver

The means to obtain the rate constants of a chemical reaction is a fundamental open problem in both science and the industry. Traditional techniques for finding rate constants require either chemical modifications of the reactants or…

Statistics Theory · Mathematics 2019-07-09 Y. Zhang , Z. Yao , P. Forssen , T. Fornstedt

The ab initio calculation of exact quantum reaction rate constants comes at a high cost due to the required dynamics of reactants on multidimensional potential energy surfaces. In turn, this impedes the rapid design of the kinetics for…

Chemical Physics · Physics 2020-09-23 Evan Komp , Stéphanie Valleau

We present new algorithms and fast implementations to find efficient approximations for modelling stochastic processes. For many numerical computations it is essential to develop finite approximations for stochastic processes. While the…

Optimization and Control · Mathematics 2020-12-03 Kipngeno Benard Kirui , Georg Ch. Pflug , Alois Pichler

The Milestoning method has achieved great success in the calculation of equilibrium kinetic properties such as rate constants from molecular dynamics simulations. The goal of this work is to advance Milestoning into the realm of…

Statistical Mechanics · Physics 2015-11-03 Gianmarc Grazioli , Ioan Andricioaei