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Artificial intelligence and machine learning is enhancing electric grids by offering data analysis tools that can be used to operate the power grid more reliably. However, the complex nonlinear dynamics, particularly when coupled with…

Systems and Control · Electrical Eng. & Systems 2024-03-15 Reza Saeed Kandezy , John Ning Jiang

The linked cell list algorithm is an essential part of molecular simulation software, both molecular dynamics and Monte Carlo. Though it scales linearly with the number of particles, there has been a constant interest in increasing its…

Computational Physics · Physics 2013-03-19 Ulrich Welling , Guido Germano

An explicit second-order numerical method to integrate the isokinetic equations of motion is derived by fitting circular arcs through every three consecutive points of the discretized trajectory, so that the tangent and the curvature…

Chemical Physics · Physics 2018-11-01 Dimitri Laikov

Evaluating multi-center molecular integrals with Cartesian Gaussian-type basis sets has been a long-standing bottleneck in electronic structure theory calculation for solids and molecules. We have developed a vector-coupling and…

Quantum Physics · Physics 2024-05-17 Hang Hu , Gilles Peslherbe , Hsu Kiang Ooi , Anguang Hu

We devise a new accelerated gradient-based estimating sequence technique for solving large-scale optimization problems with composite structure. More specifically, we introduce a new class of estimating functions, which are obtained by…

Optimization and Control · Mathematics 2021-11-15 Endrit Dosti , Sergiy A. Vorobyov , Themistoklis Charalambous

We propose new algorithms for numerical integration of the equations of motion for classical spin systems with fixed spatial site positions. The algorithms are derived on the basis of a mid-point scheme in conjunction with the multiple time…

Statistical Mechanics · Physics 2009-10-31 I. P. Omelyan , I. M. Mryglod , R. Folk

We propose and explore a new, general-purpose method for the implicit time integration of elastica. Key to our approach is the use of a mixed variational principle. In turn its finite element discretization leads to an efficient alternating…

Graphics · Computer Science 2022-02-03 Ty Trusty , Danny M. Kaufman , David I W Levin

We present non-convex maximal dissipation principle (NMDP), a time integration scheme for articulated bodies with simultaneous contacts. Our scheme resolves contact forces via the maximal dissipation principle (MDP). Prior MDP solvers…

Robotics · Computer Science 2020-10-29 Zherong Pan , Kris Hauser

Biological transport is supported by collective dynamics of enzymatic molecules that are called motor proteins or molecular motors. Experiments suggest that motor proteins interact locally via short-range potentials. We investigate the…

Statistical Mechanics · Physics 2015-06-18 Hamid Teimouri , Anatoly B. Kolomeisky , Kareem Mehrabiani

The increasing number of protein-based metamaterials demands reliable and efficient theoretical and computational methods to study the physicochemical properties they may display. In this regard, we develop a simulation strategy based on…

Soft Condensed Matter · Physics 2020-06-23 J. A. Campos Gonzalez Angulo , G. Wiesehan , R. F. Ribeiro , J. Yuen-Zhou

An accurate description of nonadiabatic dynamics of molecular species on metallic surfaces poses a serious computational challenge associated with a multitude of closely-spaced electronic states. We propose a mixed quantum-classical scheme…

Chemical Physics · Physics 2017-01-10 Ilya G. Ryabinkin , Artur F. Izmaylov

A new pairwise hybrid machine-learning/molecular mechanics (ML/MM) potential is introduced that is conceived for application to large, heterogeneous condensed-phase systems. The PhysNet ML method describes monomers and short-range dimer…

Chemical Physics · Physics 2026-03-17 Kham Lek Chaton , Eric D. Boittier , Mike Devereux , Markus Meuwly

This study aims at finding a method for constructing molecular dynamics like models using the formalism of cellular automata for fast simulation of fluid dynamic systems (including compressible phenomena). In as much as the results…

comp-gas · Physics 2009-09-25 Himanshu Agrawal

A comparative study of different block matching alternatives for motion estimation is presented. The study is focused on computational burden and objective measures on the accuracy of prediction. Together with existing algorithms several…

Computer Vision and Pattern Recognition · Computer Science 2022-02-25 Marcos Faundez-Zanuy , Francesc Tarres-Ruiz

Symplectic integrators are widely used for long-term integration of conservative astrophysical problems due to their ability to preserve the constants of motion; however, they cannot in general be applied in the presence of nonconservative…

Instrumentation and Methods for Astrophysics · Physics 2015-08-10 David Tsang , Chad R. Galley , Leo C. Stein , Alec Turner

It was recently demonstrated that a simple Monte Carlo (MC) algorithm involving the swap of particle pairs dramatically accelerates the equilibrium sampling of simulated supercooled liquids. We propose two numerical schemes integrating the…

Statistical Mechanics · Physics 2019-06-24 Ludovic Berthier , Elijah Flenner , Christopher J. Fullerton , Camille Scalliet , Murari Singh

Accurate calculations of molecular crystals are crucial for drug design and crystal engineering. However, periodic high-level density functional calculations using hybrid functionals are often prohibitively expensive for relevant systems.…

Chemical Physics · Physics 2024-01-23 Johannes Hoja , Alexander List , A. Daniel Boese

We develop a combined machine learning (ML) and quantum mechanics approach that enables data-efficient reconstruction of flexible molecular force fields from high-level ab initio calculations, through the consideration of fundamental…

Computational Physics · Physics 2021-04-14 Stefan Chmiela , Huziel E. Sauceda , Alexandre Tkatchenko , Klaus-Robert Müller

The next generation of force fields for molecular dynamics will be developed using a wealth of data. Training systematically with experimental data remains a challenge, however, especially for machine learning potentials. Differentiable…

Biomolecules · Quantitative Biology 2025-04-16 Joe G Greener

In the first part of a series of two papers, we present in considerable detail a collision-driven molecular dynamics algorithm for a system of nonspherical particles, within a parallelepiped simulation domain, under both periodic or…

Computational Physics · Physics 2007-05-23 Aleksandar Donev , Salvatore Torquato , Frank H. Stillinger