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This report presents the application of polynomial regression for estimating free energy differences using thermodynamic integration. We employ linear regression to construct a polynomial that optimally fits the thermodynamic integration…

Computational Physics · Physics 2008-10-02 Conrad Shyu , F. Marty Ytreberg

We present a method for computing free-energy differences using thermodynamic integration with a neural network potential that interpolates between two target Hamiltonians. The interpolation is defined at the sample distribution level, and…

Statistical Mechanics · Physics 2025-03-26 Bálint Máté , François Fleuret , Tristan Bereau

The determination of the solvation free energy of ions and molecules holds profound importance across a spectrum of applications spanning chemistry, biology, energy storage, and the environment. Molecular dynamics simulations are a powerful…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Zhou Yu , Enrique R. Batista , Ping Yang , Danny Perez

The thesis focuses on the prediction of solvation thermodynamics using integral equation theories. Our main goal is to improve the approach using a rational correction. We achieve it by extending recently introduced pressure correction, and…

Chemical Physics · Physics 2017-04-19 Maksim Misin

Free energies play a central role in characterising the behaviour of chemical systems and are among the most important quantities that can be calculated by molecular dynamics simulations. Solvation free energies in various organic solvents,…

Chemical Physics · Physics 2026-02-11 J. Harry Moore , Daniel J. Cole , Gabor Csanyi

We propose a method, Temperature Integration, which allows an efficient calculation of free energy differences between two systems of interest, with the same degrees of freedom, which may have rough energy landscapes. The method is based on…

Statistical Mechanics · Physics 2015-06-12 Asaf Farhi , Guy Hed , Michael Bon , Nestor Caticha , Chi H Mak , Eytan Domany

Calculating relative free energies is a topic of substantial interest and has many applications including solvation and binding free energies, which are used in computational drug discovery. However, there remain the challenges of accuracy,…

Chemical Physics · Physics 2016-09-28 Asaf Farhi , Bipin Singh

Solvation free energy is an important design parameter in reaction kinetics and separation processes, making it a critical property to predict during process development. In previous research, directed message passing neural networks…

In the era of big data, we first need to manage the data, which requires us to find missing data or predict the trend, so we need operations including interpolation and data fitting. Interpolation is a process to discover deducing new data…

Numerical Analysis · Mathematics 2022-08-26 Yijie Xu , Runqi Xu

We present a detailed comparison of computational efficiency and precision for several free energy difference ($\Delta F$) methods. The analysis includes both equilibrium and non-equilibrium approaches, and distinguishes between…

Biological Physics · Physics 2009-11-11 F. Marty Ytreberg , Robert H. Swendsen , Daniel M. Zuckerman

Thermodynamic integration (TI) offers a rigorous method for estimating free-energy differences by integrating over a sequence of interpolating conformational ensembles. However, TI calculations are computationally expensive and typically…

Statistical Mechanics · Physics 2024-12-04 Bálint Máté , François Fleuret , Tristan Bereau

We perform an extrapolative analysis of "fast-growth" free-energy-difference (DF) estimates of a computer-modeled, fully-solvated ethane<->methanol transformation. The results suggest that extrapolation can greatly reduce the systematic…

Chemical Physics · Physics 2007-05-23 Daniel M. Zuckerman , Thomas B. Woolf

Calculating free energy differences is a topic of substantial interest and has many applications including molecular docking and hydration, solvation, and binding free energies which is used in computational drug discovery. However, in…

Chemical Physics · Physics 2013-10-16 Asaf Farhi

Sets of free energy differences are useful for finding the equilibria of chemical reactions, while absolute free energies have little physical meaning. However finding the relative free energy between two macrostates by subtraction of their…

Statistical Mechanics · Physics 2012-11-26 Joshua T. Berryman , Tanja Schilling

The calculation of the interfacial free energy between two thermodynamic phases is crucial across various fields, including materials science, chemistry, and condensed matter physics. In this study, we apply an existing thermodynamic…

Soft Condensed Matter · Physics 2024-11-26 Ignacio Sanchez-Burgos , Pablo Montero de Hijes , Eduardo Sanz , Carlos Vega , Jorge R. Espinosa

Solvation free energies are efficiently predicted by molecular density functionnal theory (MDFT) if one corrects the overpressure introduced by the usual homogeneous reference fluid approximation. Sergiievskyi et al. [Sergiievskyi et al.,…

Statistical Mechanics · Physics 2015-11-17 Volodymyr Sergiievskyi , Guillaume Jeanmairet , Maximilien Levesque , Daniel Borgis

The combination of a recently proposed linear interpolation method (LIM) [Senjean et al., Phys. Rev. A 92, 012518 (2015)], which enables the calculation of weight-independent excitation energies in range-separated ensemble…

Chemical Physics · Physics 2018-08-29 Bruno Senjean , Erik D. Hedegård , Md. Mehboob Alam , Stefan Knecht , Emmanuel Fromager

Accurate calculations of solvation free energies remain a central challenge in molecular simulations, often requiring extensive sampling and numerous alchemical intermediates to ensure sufficient overlap between phase-space distributions of…

Statistical Mechanics · Physics 2026-04-02 Maximilian Schebek , Nikolas M. Froböse , Bettina G. Keller , Jutta Rogal

The interfacial free energy between a crystal and a fluid, {\gamma} cf, is a highly relevant parameter in phenomena such as wetting or crystal nucleation and growth. Due to the difficulty of measuring {\gamma} cf experimentally, computer…

Statistical Mechanics · Physics 2015-06-23 J. R. Espinosa , C. Vega , E. Sanz

We develop a method to fit high-temperature Gibbs free energy data for the development of interatomic potentials for atomic systems. The approach is based on Hamiltonian thermodynamic integration, enabling the identification of suitable…

Materials Science · Physics 2026-03-04 Liangrui Wei , Yang Sun
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