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The determination of efficient collective variables is crucial to the success of many enhanced sampling methods. As inspired by previous discrimination approaches, we first collect a set of data from the different metastable basins. The…

Computational Physics · Physics 2026-03-03 Enrico Trizio , Michele Parrinello

The evolution of molecular dynamics (MD) simulations has been intimately linked to that of computing hardware. For decades following the creation of MD, simulations have improved with computing power along the three principal dimensions of…

The study of molecular polaritons beyond simple quantum emitter ensemble models (e.g., Tavis-Cummings) is challenging due to the large dimensionality of these systems (the number of molecular emitters is $N\approx 10^{6}-10^{10}$) and the…

Quantum Physics · Physics 2022-10-13 Juan B. Pérez-Sánchez , Arghadip Koner , Nathaniel P. Stern , Joel 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

The most efficient MC weights for the calculation of physical, canonical expectation values are not necessarily those of the canonical ensemble. The use of suitably generalized ensembles can lead to a much faster convergence of the…

Statistical Mechanics · Physics 2011-01-24 Bernd A. Berg

Developing a theory of low-mass star formation ($\sim 0.1$ to 3~M$_{\odot}$) remains one of the most elusive and important goals of theoretical astrophysics. The star-formation process is the outcome of the complex dynamics of interstellar…

Astrophysics · Physics 2007-05-23 Richard I. Klein , Shu-ichiro Inutsuka , Paolo Padoan , Kohji Tomisaka

The cluster variation method (CVM) is an approximation technique which generalizes the mean field approximation and has been widely applied in the last decades, mainly for finding accurate phase diagrams of Ising-like lattice models. Here…

High Energy Physics - Lattice · Physics 2015-06-25 Alessandro Pelizzola

Many recently introduced enhanced sampling techniques are based on biasing coarse descriptors (collective variables) of a molecular system on the fly. Sometimes the calculation of such collective variables is expensive and becomes a…

Computational Physics · Physics 2015-09-01 Marco Jacopo Ferrarotti , Sandro Bottaro , Andrea Pérez-Villa , Giovanni Bussi

The description of chemical processes at the molecular level is often facilitated by use of reaction coordinates, or collective variables (CVs). The CV measures the progress of the reaction and allows the construction of profiles that track…

Chemical Physics · Physics 2023-04-26 Johannes C. B. Dietschreit , Dennis J. Diestler , Rafael Gómez-Bombarelli

Rare event sampling is a central problem in modern computational chemistry research. Among the existing methods, transition path sampling (TPS) can generate unbiased representations of reaction processes. However, its efficiency depends on…

Computational Physics · Physics 2024-04-04 Jintu Zhang , Odin Zhang , Luigi Bonati , TingJun Hou

Clustering of time series is a well-studied problem, with applications ranging from quantitative, personalized models of metabolism obtained from metabolite concentrations to state discrimination in quantum information theory. We consider a…

Optimization and Control · Mathematics 2025-08-22 Mengjia Niu , Xiaoyu He , Petr Ryšavý , Quan Zhou , Jakub Marecek

In this paper we have explored computationally the solidification process of large nickel clusters. This process has the characteristic features of the first order phase transition occurring in a finite system. The focus of our research is…

Computational Physics · Physics 2012-10-15 Alexander V. Yakubovich , Gennady Sushko , Stefan Schramm , Andrey V. Solov'yov

Determining the kinetic bottlenecks that make transitions between metastable states difficult is key to understanding important physical problems like crystallization, chemical reactions, or protein folding. In all these phenomena, the…

Computational Physics · Physics 2026-03-03 Peilin Kang , Enrico Trizio , Michele Parrinello

Hard spheres are arguably one of the most fundamental model systems in soft matter physics, and hence a common topic of simulation studies. Event-driven simulation methods provide an efficient method for studying the phase behavior and…

Soft Condensed Matter · Physics 2022-01-05 Frank Smallenburg

Control variates can be a powerful tool to reduce the variance of Monte Carlo estimators, but constructing effective control variates can be challenging when the number of samples is small. In this paper, we show that when a large number of…

Methodology · Statistics 2023-06-08 Zhuo Sun , Chris J. Oates , François-Xavier Briol

Structural causal models (SCMs) are a powerful tool for understanding the complex causal relationships that underlie many real-world systems. As these systems grow in size, the number of variables and complexity of interactions between them…

Artificial Intelligence · Computer Science 2023-10-13 Moritz Willig , Matej Zečević , Devendra Singh Dhami , Kristian Kersting

We have carried out molecular dynamics simulations of the crystallization of hard spheres modelling colloidal systems that are studied in conventional and space-based experiments. We use microscopic probes to investigate the effects of…

Condensed Matter · Physics 2009-11-07 Igor Volkov , Marek Cieplak , Joel Koplik , Jayanth R. Banavar

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

Parameters in climate models are usually calibrated manually, exploiting only small subsets of the available data. This precludes both optimal calibration and quantification of uncertainties. Traditional Bayesian calibration methods that…

Statistics Theory · Mathematics 2021-10-04 Oliver R. A. Dunbar , Alfredo Garbuno-Inigo , Tapio Schneider , Andrew M. Stuart

Molecular dynamics (MD) simulations are useful in obtaining thermodynamic and kinetic properties of bio-molecules but are limited by the timescale barrier, i.e., we may be unable to efficiently obtain properties because we need to run…

Chemical Physics · Physics 2017-08-23 Surl-Hee Ahn , Jay W. Grate , Eric F. Darve
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