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In this tutorial-style review we discuss basic concepts of coupled cluster theory and recent developments that increase its computational efficiency for calculations of molecules, solids and materials in general. We will touch upon the…

Materials Science · Physics 2020-04-15 Igor Ying Zhang , Andreas Grüneis

Competing phases or interactions in complex many-particle systems can result in free energy barriers that strongly suppress thermal equilibration. Here we discuss how extended ensemble Monte Carlo simulations can be used to study the…

Statistical Mechanics · Physics 2007-05-23 S. Trebst , D. A. Huse , E. Gull , H. G. Katzgraber , U. H. E. Hansmann , M. Troyer

Molecular simulations of the forced unfolding and refolding of biomolecules or molecular complexes allow to gain important kinetic, structural and thermodynamic information about the folding process and the underlying energy landscape. In…

Soft Condensed Matter · Physics 2021-05-26 Marco Oestereich , Jürgen Gauss , Gregor Diezemann

In this work, I propose a statistical mechanical framework, for the evaluation of the free energy in molecular systems, by "deleting" all the molecules in a "single" step. The approach can be considered as the statistical mechanics…

Statistical Mechanics · Physics 2011-08-16 Georgios C. Boulougouris

We introduce a method of exploring potential energy contours in complex dynamical systems based on potentiostatic kinematics wherein the systems are evolved with minimal changes to their potential energy. We construct a simple iterative…

Computational Physics · Physics 2022-04-13 Michael J. Waters , James M. Rondinelli

Markov chain Monte Carlo methods are primarily used for sampling from a given probability distribution and estimating multi-dimensional integrals based on the information contained in the generated samples. Whenever it is possible, more…

Statistical Mechanics · Physics 2017-05-22 Manuel Athènes , Pierre Terrier

A template-based generic programming approach was presented in a previous paper that separates the development effort of programming a physical model from that of computing additional quantities, such as derivatives, needed for embedded…

Mathematical Software · Computer Science 2012-05-18 Roger P. Pawlowski , Eric T. Phipps , Andrew G. Salinger , Steven J. Owen , Christopher M. Siefert , Matthew L. Staten

In this paper we discuss how the information contained in atomistic simulations of homogeneous nucleation should be used when fitting the parameters in macroscopic nucleation models. We show how the number of solid and liquid atoms in such…

Statistical Mechanics · Physics 2017-10-11 Bingqing Cheng , Gareth A. Tribello , Michele Ceriotti

The weighted ensemble (WE) simulation strategy provides unbiased sampling of non-equilibrium processes, such as molecular folding or binding, but the extraction of rate constants relies on characterizing steady state behavior.…

Statistical Mechanics · Physics 2020-10-02 Jeremy Copperman , Daniel Zuckerman

We present a calculation of the change of free energy of a solid surface upon bending of the solid. It is based on extracting the surface stress through a molecular dynamics simulation of a bent slab by using a generalized stress theorem…

Materials Science · Physics 2007-05-23 U. Tartaglino , D. Passerone , E. Tosatti , F. Di Tolla

Computer simulation is an important tool for scientific progress, especially when lab experiments are either extremely costly and difficult or lack the required resolution. However, all of the simulation methods come with limitations. In…

Fluid Dynamics · Physics 2023-08-04 Edward R. Smith , Panagiotis E. Theodorakis

Steered molecular dynamics (SMD) simulations for the calculation of free energies are well suited for high-throughput molecular simulations on a distributed infrastructure due to the simplicity of the setup and parallel granularity of the…

Chemical Physics · Physics 2023-09-22 Toni Giorgino , Gianni De Fabritiis

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

Nonlinear mixed effects modeling is a powerful tool when analyzing data from several entities in an experiment. In this paper, we present NLMEModeling, a package for mixed effects modeling in Wolfram Mathematica. NLMEModeling supports mixed…

Computation · Statistics 2020-11-16 Jacob Leander , Joachim Almquist , Anna Johnning , Julia Larsson , Mats Jirstrand

The molecular distributions obtained from canonical Monte Carlo simulations can be used to find an approximate interaction energy. This serves as the basis of a method for estimating the binding free energy for a ligand to a protein which…

Chemical Physics · Physics 2007-05-23 Charles F. F. Karney , Jason E. Ferrara , Clay D. Spence

The study of the rare transitions that take place between long lived metastable states is a major challenge in molecular dynamics simulations. Many of the methods suggested to address this problem rely on the identification of the slow…

Chemical Physics · Physics 2023-06-07 Dhiman Ray , Enrico Trizio , Michele Parrinello

Simulation studies are commonly used to evaluate the performance of newly developed meta-analysis methods. For methodology that is developed for an aggregated data meta-analysis, researchers often resort to simulation of the aggregated data…

Applications · Statistics 2022-01-19 Edwin R. van den Heuvel , Osama Almalik , Zhuozhao Zhan

The paper is devoted to studying the performance of a computational pipeline, the number of simultaneously executing stages of which at each time is bounded from above by a fixed number. A look at the restriction as a structural hazard…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-31 Ahmet A. Husainov

Metadynamics is an established sampling method aimed at reconstructing the free-energy surface relative to a set of appropriately chosen collective variables. In standard metadynamics the free-energy surface is filled by the addition of…

Statistical Mechanics · Physics 2012-07-11 Davide Branduardi , Giovanni Bussi , Michele Parrinello

Machine learning (ML) is transforming all areas of science. The complex and time-consuming calculations in molecular simulations are particularly suitable for a machine learning revolution and have already been profoundly impacted by the…

Chemical Physics · Physics 2019-11-11 Frank Noé , Alexandre Tkatchenko , Klaus-Robert Müller , Cecilia Clementi