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Journal ArticleDOI

Free energy calculations for Lennard-Jones systems and water using the expanded ensemble method A Monte Carlo and molecular dynamics simulation study

TLDR
In this paper, the free energy for simple point charge water (rigid and flexible) is calculated using the Lennard-Jones system as a reference and the results are in accordance with results obtained using other methods for calculation of free energy in computer simulations.
Abstract
The method of expanded ensembles for calculation of free energy in Monte Carlo simulations is incorporated into molecular dynamics simulations. Calculations of the free energy for the Lennard-Jones system are carried out using both variants of the expanded ensemble method (i.e. Monte Carlo and molecular dynamics simulations) and are shown to give identical results. The free energy for two variants of the simple point charge water (rigid and flexible) is calculated using the Lennard-Jones system as a reference. Numerically very accurate results for the free energy are obtained. The results are in accordance with results obtained using other methods for calculation of free energy in computer simulations. The advantages of the presented method and possible applications for calculation of free energies for more complicated molecular systems are discussed.

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Citations
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Guidelines for the analysis of free energy calculations

TL;DR: This work reviews and recommends best practices for analysis yielding reliable free energies from molecular simulations, and provides a Python tool, alchemical-analysis.py, that implements the analysis practices reviewed here for several reference simulation packages, which can be adapted to handle data from other packages.
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ms2: A Molecular Simulation Tool for Thermodynamic Properties

TL;DR: This work presents the molecular simulation programms2 that is designed for the calculation of thermodynamic properties of bulk fluids in equilibrium consisting of small electro-neutral molecules, written in Fortran90 and optimized for a fast execution on a broad range of computer architectures.
Journal ArticleDOI

A method for computing the solubility limit of solids: Application to sodium chloride in water and alcohols

TL;DR: An adaptable method to compute the solubility limit of solids by molecular simulation, which avoids the difficulty of reference state calculations and is highly adaptable to molecules of complex topology is presented.
Journal ArticleDOI

Grand canonical ensemble molecular dynamics simulations: Reformulation of extended system dynamics approaches

TL;DR: In this paper, the extended system Hamiltonian for carrying out grand canonical ensemble molecular dynamics simulations is reformulated, including a generalized treatment of the reference state partition function of the total chemical potential that reproduces the ideal gas behavior.
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Solubility of Organic Compounds in Water/Octanol Systems. A Expanded Ensemble Molecular Dynamics Simulation Study of log P Parameters

TL;DR: In this article, the expanded ensemble method was applied to calculate octanol/water partition coefficients P for some organic drug-related molecules and compared with experimental results, and the experimental log P results were obtained by a miniaturized vial procedure using liquid chromatography with UV for quantification.
References
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Journal ArticleDOI

A molecular dynamics method for simulations in the canonical ensemble

TL;DR: In this paper, a molecular dynamics simulation method which can generate configurations belonging to the canonical (T, V, N) ensemble or the constant temperature constant pressure ensemble was proposed, which is tested for an atomic fluid (Ar) and works well.
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Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling

TL;DR: In this paper, the authors describe the use of arbitrary sampling distributions chosen to facilitate the estimate of the free energy difference between a model system and some reference system, but the conventional Monte Carlo methods of obtaining such averages are inadequate for the free-energy case.
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Some Topics in the Theory of Fluids

TL;DR: In this article, it was shown how certain thermodynamic functions, and also the radial distribution function, can be expressed in terms of the potential energy distribution in a fluid and a miscellany of results were derived from this unified point of view.
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Efficient estimation of free energy differences from Monte Carlo data

TL;DR: Near-optimal strategies are developed for estimating the free energy difference between two canonical ensembles, given a Metropolis-type Monte Carlo program for sampling each one, and their efficiency is never less or greater than that obtained by sampling only one ensemble.
Journal ArticleDOI

The Lennard-Jones equation of state revisited

TL;DR: In this paper, a modified Benedict-Webb-Rubin (MBWR) equation of state for the Lennard-Jones (LJ) fluid is presented and compared with the simulation data of this work, and previously published Gibbs ensemble data.
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