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Metadynamics is a commonly used and successful enhanced sampling method. By the introduction of a history dependent bias which depends on a restricted number of collective variables(CVs) it can explore complex free energy surfaces…

Statistical Mechanics · Physics 2013-12-06 Pratyush Tiwary , Michele Parrinello

Collective variables (CVs) play a crucial role in capturing rare events in high-dimensional systems, motivating the continual search for principled approaches to their design. In this work, we revisit the framework of quantitative coarse…

Numerical Analysis · Mathematics 2025-06-06 Shashank Sule , Arnav Mehta , Maria K. Cameron

Understanding protein conformational dynamics is essential for elucidating biological function but remains challenging due to the wide range of timescales and the complexity of collective motions. Enhanced sampling methods overcome…

Statistical Mechanics · Physics 2026-05-11 Souvik Mondal , Michael A. Sauer , Matthias Heyden

Many biological processes occur on time scales longer than those accessible to molecular dynamics simulations. Identifying collective variables (CVs) and introducing an external potential to accelerate them is a popular approach to address…

Computational Physics · Physics 2024-10-24 Enrico Trizio , Andrea Rizzi , Pablo M. Piaggi , Michele Invernizzi , Luigi Bonati

In molecular dynamics simulations, rare events, such as protein folding, are typically studied using enhanced sampling techniques, most of which are based on the definition of a collective variable (CV) along which acceleration occurs.…

Chemical Physics · Physics 2024-07-22 Soojung Yang , Juno Nam , Johannes C. B. Dietschreit , Rafael Gómez-Bombarelli

Crystallization, a fundamental phase transition process governing material formation in natural and industrial contexts, involves the spontaneous emergence of long-range structural order from disordered phases. This long-range periodicity…

Statistical Mechanics · Physics 2025-10-13 YaoKun Lei , MaoDong Li , Yi Isaac Yang

The phenomenon of solidification of a substance from its liquid phase is of the greatest practical and theoretical importance, and atomistic simulations can provide precious information towards its understanding and control. Unfortunately,…

Soft Condensed Matter · Physics 2021-03-25 Tarak Karmakar , Michele Invernizzi , Valerio Rizzi , Michele Parrinello

In this paper we combine two powerful computational techniques, well-tempered metadynamics and time lagged independent component analysis. The aim is to develop a new tool for studying rare events and exploring complex free energy…

Statistical Mechanics · Physics 2017-12-08 James McCarty , Michele Parrinello

Collective variable (CV) or order parameter based enhanced sampling algorithms have achieved great success due to their ability to efficiently explore the rough potential energy landscapes of complex systems. However, the degeneracy of…

Chemical Physics · Physics 2018-07-11 Jing Zhang , Ming Chen

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

Monte Carlo simulations are widely used to simulate complex molecular systems, but standard approaches suffer from metastability. Lately, the use of non-local proposal updates in a collective-variable (CV) space has been proposed in several…

Statistical Mechanics · Physics 2026-04-20 Christoph Schönle , Davide Carbone , Marylou Gabrié , Tony Lelièvre , Gabriel Stoltz

Evaluating models fit to data with internal spatial structure requires specific cross-validation (CV) approaches, because randomly selecting assessment data may produce assessment sets that are not truly independent of data used to train…

Computation · Statistics 2023-03-14 Michael J Mahoney , Lucas K Johnson , Julia Silge , Hannah Frick , Max Kuhn , Colin M Beier

The development of enhanced sampling methods has greatly extended the scope of atomistic simulations, allowing long-time phenomena to be studied with accessible computational resources. Many such methods rely on the identification of an…

Computational Physics · Physics 2022-06-08 Luigi Bonati , GiovanniMaria Piccini , Michele Parrinello

Understanding complex quantum dynamics in realistic materials requires insight into the underlying correlations dominating the interactions between the participating particles. Due to the wealth of information involved in these processes,…

Materials Science · Physics 2024-04-19 Adva Baratz , Galit Cohen , Sivan Refaely-Abramson

This paper presents the first general (supervised) statistical learning framework for point processes in general spaces. Our approach is based on the combination of two new concepts, which we define in the paper: i) bivariate innovations,…

Methodology · Statistics 2021-03-03 Ottmar Cronie , Mehdi Moradi , Christophe A. N. Biscio

Free energy biasing methods have proven to be powerful tools to accelerate the simulation of important conformational changes of molecules by modifying the sampling measure. However, most of these methods rely on the prior knowledge of…

Biological Physics · Physics 2021-10-20 Zineb Belkacemi , Paraskevi Gkeka , Tony Lelièvre , Gabriel Stoltz

In modern day simulations of many-body systems much of the computational complexity is shifted to the identification of slowly changing molecular order parameters called collective variables (CV) or reaction coordinates. A vast array of…

Statistical Mechanics · Physics 2016-04-27 Pratyush Tiwary , B. J. Berne

Using the collective variables (CV) method the basic relations of statistical field theory of a multicomponent non-homogeneous fluids are reconsidered. The corresponding CV action depends on two sets of scalar fields - fields…

Soft Condensed Matter · Physics 2012-07-02 Oksana Patsahan , Ihor Mryglod , Jean-Michel Caillol

Generating a data set that is representative of the accessible configuration space of a molecular system is crucial for the robustness of machine learned interatomic potentials (MLIP). However, the complexity of molecular systems,…

Machine Learning · Computer Science 2025-01-28 Aik Rui Tan , Johannes C. B. Dietschreit , Rafael Gomez-Bombarelli

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…