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Related papers: Single-Sweep Methods for Free Energy Calculations

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A mixed basis approach based on density functional theory is employed for low dimensional systems. The basis functions are taken to be plane waves for the periodic direction multiplied by B-spline polynomials in the non-periodic direction.…

Computational Physics · Physics 2015-05-20 Chung-Yuan Ren , Chen-Shiung Hsue , Yia-Chung Chang

Ab initio metadynamics enables extracting free-energy landscapes having the accuracy of first principles electronic structure methods. We introduce an interface between the PLUMED code that computes free-energy landscapes and…

Materials Science · Physics 2022-04-20 Daniel Sucerquia , Cristian Parra , Pilar Cossio , Olga Lopez-Acevedo

We present a molecular simulation method to simultaneously find multiple transition pathways, and their associated free-energy profiles. The scheme extends path-metadynamics (PMD) [Phys. Rev. Lett. 109, 020601 (2012)] with multiple paths…

Statistical Mechanics · Physics 2025-06-23 Alberto Pérez de Alba Ortíz , Bernd Ensing

In systems characterized by a rough potential energy landscape, local energetic minima and saddles define a network of metastable states whose topology strongly influences the dynamics. Changes in temperature, causing the merging and…

Soft Condensed Matter · Physics 2009-07-24 Marco Baiesi , Lorenzo Bongini , Lapo Casetti , Lorenzo Tattini

Sampling the free energy surface, namely, the distribution of collective variables (CVs), is a crucial problem in statistical physics, as it underpins a better understanding of chemical reactions and conformational transitions. Traditional…

Machine Learning · Computer Science 2026-05-04 Zichen Liu , Tiejun Li

We propose finite-volume schemes for the Cahn-Hilliard equation which unconditionally and discretely preserve the boundedness of the phase field and the dissipation of the free energy. Our numerical framework is applicable to a variety of…

Numerical Analysis · Mathematics 2023-12-18 Rafael Bailo , José A. Carrillo , Serafim Kalliadasis , Sergio P. Perez

Free energy calculations of two crystalline phases of the molecular compound S8 were performed via molecular dynamics simulations of these crystals. The elemental sulphur S8 molecule model used in our MD calculations consists of a…

Statistical Mechanics · Physics 2009-11-10 C. Pastorino , Z. Gamba

The multistate Bennett acceptance ratio (MBAR) method is a prevalent approach for computing free energies of thermodynamic states. In this work, we introduce BayesMBAR, a Bayesian generalization of the MBAR method. By integrating…

Chemical Physics · Physics 2024-02-16 Xinqiang Ding

The rare-event sampling problem has long been the central limiting factor in molecular dynamics (MD), especially in biomolecular simulation. Recently, diffusion models such as BioEmu have emerged as powerful equilibrium samplers that…

The accurate treatment of long-range energy terms such as van der Waals interactions is crucial for reliable free energy calculations in molecular simulations. Methods like force switching, potential switching, potential shifting, and Ewald…

Chemical Physics · Physics 2025-04-21 Lindsey M. Whitmore , Yalda Ramezani , Sumit Sharma , Michael R. Shirts

A key challenge for molecular dynamics simulations is efficient exploration of free energy landscapes over relevant collective variables (CV). Common methods for enhancing sampling become prohibitively inefficient beyond only a few CVs; in…

Chemical Physics · Physics 2026-05-29 Nils E. Strand , Siyao Yang , Yuehaw Khoo , Aaron R. Dinner

We present a Monte Carlo simulation technique by which the free energy of disordered systems can be computed directly. It is based on thermodynamic integration. The central idea is to construct an analytically solvable reference system from…

Statistical Mechanics · Physics 2015-05-14 Tanja Schilling , Friederike Schmid

We introduce a novel scheme for the mechanistic investigation of solid-solid phase transitions, which we dub \textit{metashooting}. Combining transition path sampling molecular dynamics and metadynamics, this scheme allows for both a…

Statistical Mechanics · Physics 2018-04-24 Samuel Alexander Jobbins , Salah Eddine Boulfelfel , Stefano Leoni

We introduce a simple enhanced sampling approach for the calculation of free energy differences and barriers along a one-dimensional reaction coordinate. First, a small number of short nonequilibrium simulations are carried out along the…

Chemical Physics · Physics 2021-11-03 Kristof M. Bal

Free energy sampling methods allow studying the full dynamics of activated processes. Unfortunately, the affordable accuracy of the potential describing the energy and forces of the system is usually rather low. Here we introduce a new…

Chemical Physics · Physics 2019-04-04 GiovanniMaria Piccini , Michele Parrinello

A `polydisperse' system has an infinite number of conserved densities. We give a rational procedure for projecting its infinite-dimensional free energy surface onto a subspace comprising a finite number of linear combinations of densities…

Statistical Mechanics · Physics 2007-05-23 Peter Sollich , Michael E Cates

We have investigated the potential energy surfaces for alanine chains consisting of three and six amino acids. For these molecules we have calculated potential energy surfaces as a function of the Ramachandran angles Phi and Psi, which are…

Biological Physics · Physics 2009-11-11 Ilia A. Solov'yov , Alexander V. Yakubovitch , Andrey V. Solov'yov , Walter Greiner

We describe a method to explore the configurational phase space of chemical systems. It is based on the nested sampling algorithm recently proposed by Skilling [Skilling J. (2004) In AIP Conference Proceedings, vol. 735, p. 395.; Skilling…

Statistical Mechanics · Physics 2010-07-08 Livia B. Pártay , Albert P. Bartók , Gábor Csányi

Dynamical energy analysis was recently introduced as a new method for determining the distribution of mechanical and acoustic wave energy in complex built up structures. The technique interpolates between standard statistical energy…

Computational Physics · Physics 2012-08-21 David J. Chappell , Gregor Tanner , Stefano Giani

We present a new method, in the following called MMM2D, to accurately calculate the electrostatic energy and forces on charges being distributed in a two dimensional periodic array of finite thickness. It is not based on an Ewald summation…

Soft Condensed Matter · Physics 2009-11-07 Axel Arnold , Christian Holm