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Event-driven molecular dynamics is a valuable tool in condensed and soft matter physics when particles can be modeled as hard objects or more generally if their interaction potential can be modeled in a stepwise fashion. Hard spheres model…

Computational Physics · Physics 2015-05-19 Cristiano De Michele

We use local diffusion maps to assess the quality of two types of collective variables (CVs) for a recently published hydrogen combustion benchmark dataset~\cite{guan2022benchmark} that contains ab initio molecular dynamics trajectories and…

Chemical Physics · Physics 2023-04-20 Taehee Ko , Joseph Heindel , Xingyi Guan , Teresa Head-Gordon , David Williams-Young , Chao Yang

Nuclear materials are often demanded to function for extended time in extreme environments, including high radiation fluxes and transmutation, high temperature and temperature gradients, stresses, and corrosive coolants. They also have a…

Materials Science · Physics 2022-11-18 Dane Morgan , Ghanshyam Pilania , Adrien Couet , Blas P. Uberuaga , Cheng Sun , Ju Li

This Brief Communication introduces a graph-neural-network architecture built on geometric vector perceptrons to predict the committor function directly from atomic coordinates, bypassing the need for hand-crafted collective variables…

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

Optimization and Control · Mathematics 2023-05-01 Antonio Alcántara , Carlos Ruiz

Replicating chaotic characteristics of non-linear dynamics by machine learning (ML) has recently drawn wide attentions. In this work, we propose that a ML model, trained to predict the state one-step-ahead from several latest historic…

Quantum Physics · Physics 2024-05-15 Sheng-Chen Bai , Shi-Ju Ran

Molecule- and particle-based simulations provide the tools to test, in microscopic detail, the validity of classical nucleation theory. In this endeavour, determining nucleation mechanisms and rates for phase separation requires an…

Materials Science · Physics 2023-02-27 Aaron R. Finney , Matteo Salvalaglio

Success of machine learning (ML) in the modern world is largely determined by abundance of data. However at many industrial and scientific problems, amount of data is limited. Application of ML methods to data-scarce scientific problems can…

Disordered Systems and Neural Networks · Physics 2024-06-13 I. Schurov , D. Alforov , M. Katsnelson , A. Bagrov , A. Itin

The slow microstructural evolution of materials often plays a key role in determining material properties. When the unit steps of the evolution process are slow, direct simulation approaches such as molecular dynamics become prohibitive and…

A robust, simple and fast procedure for the calculation of uncertainties in relative static dielectric permittivity ($\varepsilon_s$) computed via molecular dynamics (MD) is proposed. It arises as a direct application of well founded…

Chemical Physics · Physics 2019-07-22 Hernán R. Sánchez , Ramiro M. Irastorza , C. Manuel Carlevaro

Condensed Matter Physics (CMP) seeks to understand the microscopic interactions of matter at the quantum and atomistic levels, and describes how these interactions result in both mesoscopic and macroscopic properties. CMP overlaps with many…

Computational Physics · Physics 2020-11-12 Edwin A. Bedolla-Montiel , Luis Carlos Padierna , Ramón Castañeda-Priego

Molecular dynamics simulations hold great promise for providing insight into the microscopic behavior of complex molecular systems. However, their effectiveness is often constrained by long timescales associated with rare events. Enhanced…

Computational Physics · Physics 2026-03-03 Kai Zhu , Enrico Trizio , Jintu Zhang , Renling Hu , Linlong Jiang , Tingjun Hou , Luigi Bonati

There has been recent interest in the use of machine learning (ML) approaches within mathematical software to make choices that impact on the computing performance without affecting the mathematical correctness of the result. We address the…

Symbolic Computation · Computer Science 2019-07-17 Matthew England , Dorian Florescu

There are a variety of choices to be made in both computer algebra systems (CASs) and satisfiability modulo theory (SMT) solvers which can impact performance without affecting mathematical correctness. Such choices are candidates for…

Symbolic Computation · Computer Science 2021-06-17 Dorian Florescu , Matthew England

In molecular dynamics (MD) simulations, accessing transition probabilities between states is crucial for understanding kinetic information, such as reaction paths and rates. However, standard MD simulations are hindered by the capacity to…

Chemical Physics · Physics 2025-08-07 Yanbin Wang , Jakub Rydzewski , Ming Chen

The success of enhanced sampling molecular simulations that accelerate along collective variables (CVs) is predicated on the availability of variables coincident with the slow collective motions governing the long-time conformational…

Machine Learning · Statistics 2019-06-04 Wei Chen , Hythem Sidky , Andrew L Ferguson

Molecular representation learning (MRL) is a key step to build the connection between machine learning and chemical science. In particular, it encodes molecules as numerical vectors preserving the molecular structures and features, on top…

Quantitative Methods · Quantitative Biology 2023-11-30 Zhichun Guo , Kehan Guo , Bozhao Nan , Yijun Tian , Roshni G. Iyer , Yihong Ma , Olaf Wiest , Xiangliang Zhang , Wei Wang , Chuxu Zhang , Nitesh V. Chawla

We propose a sampling algorithm relying on a collective variable (CV) of mid-size dimension modelled by a normalizing flow and using non-equilibrium dynamics to propose full configurational moves from the proposition of a refreshed value of…

Statistical Mechanics · Physics 2024-07-29 Samuel Tamagnone , Alessandro Laio , Marylou Gabrié

Machine learning (ML) methods are being used in almost every conceivable area of electronic structure theory and molecular simulation. In particular, ML has become firmly established in the construction of high-dimensional interatomic…

Chemical Physics · Physics 2021-06-22 Julia Westermayr , Michael Gastegger , Kristof T. Schütt , Reinhard J. Maurer

Markov state models (MSMs) are a widely used method for approximating the eigenspectrum of the molecular dynamics propagator, yielding insight into the long-timescale statistical kinetics and slow dynamical modes of biomolecular systems.…

Biomolecules · Quantitative Biology 2015-03-30 Robert T. McGibbon , Vijay S. Pande