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Fluid phase behavior of charge-stabilized colloidal suspensions is explored by applying a new variant of the Gibbs ensemble Monte Carlo simulation method to a coarse-grained one-component model with implicit microions and solvent. The…

Soft Condensed Matter · Physics 2011-06-28 Ben Lu , Alan R. Denton

Monte Carlo simulation provides a powerful tool for understanding and exploring thermodynamic phase equilibria in many-particle interacting systems. Among the most physically intuitive simulation methods is Gibbs ensemble Monte Carlo…

Statistical Mechanics · Physics 2015-06-12 Alan R. Denton , Michael P. Schmidt

The prediction of the equation of state and the phase behavior of simple fluids (noble gases, carbon dioxide, benzene, methane, short alkane chains) and their mixtures by Monte Carlo computer simulation and analytic approximations based on…

Statistical Mechanics · Physics 2009-11-13 B. M. Mognetti , P. Virnau , L. Yelash , W. Paul , K. Binder , M. Mueller , L. G. MacDowell

We report a numerical simulation for the phase diagram of a simple two dimensional model, similar to one proposed by Noro and Frenkel [J. Chem. Phys. \textbf{114}, 2477 (2001)] for membrane proteins, but one that includes the role of the…

Soft Condensed Matter · Physics 2009-11-11 D. L. Pagan , A. Shiryayev , T. P. Connor , J. D. Gunton

Specialized Monte Carlo methods are nowadays routinely employed, in combination with thermodynamic integration (TI), to locate phase boundaries of classical many-particle systems. This is especially useful for the fluid-solid transition,…

Statistical Mechanics · Physics 2015-09-09 M. C. Abramo , C. Caccamo , D. Costa , P. V. Giaquinta , G. Malescio , G. Munao' , S. Prestipino

The widespread popularity of replica exchange and expanded ensemble algorithms for simulating complex molecular systems in chemistry and biophysics has generated much interest in enhancing phase space mixing of these protocols, thus…

Statistical Mechanics · Physics 2011-12-06 John D. Chodera , Michael R. Shirts

Multicanonical ensemble sampling simulations have been performed to calculate the phase diagram of a Lennard-Jones fluid embedded in a fractal random matrix generated through diffusion limited cluster aggregation. The study of the system at…

Statistical Mechanics · Physics 2015-06-25 V. De Grandis , P. Gallo , M. Rovere

A class of binary mixtures of Janus fluids formed by colloidal spheres with the hydrophobic hemispheres constrained to point either up or down are studied by means of Gibbs ensemble Monte Carlo simulations and simple analytical…

Soft Condensed Matter · Physics 2013-11-14 Riccardo Fantoni , Achille Giacometti , Miguel Ángel G. Maestre , Andrés Santos

In the hard-core model on a finite graph we are given a parameter lambda>0, and an independent set I arises with probability proportional to lambda^|I|. On infinite graphs a Gibbs distribution is defined as a suitable limit with the correct…

Combinatorics · Mathematics 2016-11-04 Antonio Blanca , David Galvin , Dana Randall , Prasad Tetali

In conventional molecular simulation, metastable structures often survive over considerable computational time, resulting in difficulties in simulating equilibrium states. In order to overcome this difficulty, here we propose a newly…

Computational Physics · Physics 2011-10-21 Yuki Norizoe , Toshihiro Kawakatsu

We consider the liquid-gas phase boundary in a binary fluid mixture near its critical end point. Using general scaling arguments we show that the diameter of the liquid-gas coexistence curve exhibits singular behaviour as the critical end…

Statistical Mechanics · Physics 2016-08-31 Nigel B. Wilding

Building on our previously introduced Multi-cell Monte Carlo (MC)^2 method for modeling phase coexistence, this paper provides important improvements for efficient determination of phase equilibria in solids. The (MC)^2 method uses multiple…

Materials Science · Physics 2020-07-01 Edwin Antillon , Maryam Ghazisaeidi

Coulomb and log-gases are exchangeable singular Boltzmann-Gibbs measures appearing in mathematical physics at many places, in particular in random matrix theory. We explore experimentally an efficient numerical method for simulating such…

Probability · Mathematics 2019-02-28 Djalil Chafaï , Grégoire Ferré

We use our newly constructed quantum Gibbs ensemble Monte Carlo algorithm to perform computer experiments for the two phase coexistence of a hydrogen-helium mixture. Our results are in quantitative agreement with the experimental results of…

Chemical Physics · Physics 2015-07-29 Riccardo Fantoni

Carbon nanostructures are promising materials to improve the performance of current gas separation membrane technologies. From the molecular modeling perspective, an accurate description of the interfacial interactions is mandatory to…

This paper presents a new Markov chain Monte Carlo method to sample from the posterior distribution of conjugate mixture models. This algorithm relies on a flexible split-merge procedure built using the particle Gibbs sampler. Contrary to…

Computation · Statistics 2017-05-30 Alexandre Bouchard-Côté , Arnaud Doucet , Andrew Roth

The nested sampling algorithm has been shown to be a general method for calculating the pressure-temperature-composition phase diagrams of materials. While the previous implementation used single-particle Monte Carlo moves, these are…

Statistical Mechanics · Physics 2017-11-17 Robert J. N. Baldock , Noam Bernstein , K. Michael Salerno , Lívia B. Pártay , Gábor Csányi

We describe a Monte Carlo scheme for the grand canonical simulation study of fluid phase equilibria in highly size-asymmetrical binary mixtures. The method utilizes an expanded ensemble in which the insertion and deletion of large particles…

Soft Condensed Matter · Physics 2015-05-18 Douglas J. Ashton , Nigel B. Wilding

Metastable structures in macromolecular and colloidal systems are non-equilibrium states that often have long lifetimes and cause difficulties in simulating equilibrium. In order to escape from the long-lived metastable states, we propose a…

Soft Condensed Matter · Physics 2011-06-09 Yuki Norizoe , Toshihiro Kawakatsu

This article is a continuation of the past three papers, arXiv:1711.04976 (2017), arXiv:1809.04291 (2018), and arXiv:2006.09673v2 (2020), in which configurations of the molecules around a vacancy in solid CO2 with the Pa3 structure (phase…

Materials Science · Physics 2021-06-03 Koji Kobashi
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