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We demonstrate that the machine learning of density functionals allows one to determine simultaneously the equilibrium chemical potential across simulation datasets of inhomogeneous classical fluids. Minimization of a loss function based on…

Soft Condensed Matter · Physics 2026-02-11 Florian Sammüller , Matthias Schmidt

Chemical potential is an effective way to drive phase transition or express wettability. In this letter, we present a chemical-potential-based lattice Boltzmann model to simulate multiphase flows. The nonideal force is directly evaluated by…

Computational Physics · Physics 2017-06-21 Binghai Wen , Xuan Zhou , Bing He , Chaoying Zhang , Haiping Fang

The central approximation made in classical molecular dynamics simulation of materials is the interatomic potential used to calculate the forces on the atoms. Great effort and ingenuity is required to construct viable functional forms and…

Computational Physics · Physics 2019-06-26 Mitchell A. Wood , Mary Alice Cusentino , Brian D. Wirth , Aidan P. Thompson

Many liquids have curves (isomorphs) in their phase diagrams along which structure, dynamics, and some thermodynamic quantities are invariant in reduced units. A substantial part of their phase diagrams is thus effectively one dimensional.…

Soft Condensed Matter · Physics 2016-08-22 Arno A. Veldhorst , Thomas B. Schrøder , Jeppe C. Dyre

We propose a new type of effective densities via the potential distribution theorem. These densities are for the sake of enabling the mapping of the free energy of a uniform fluid onto that of a nonuniform fluid. The potential distribution…

Soft Condensed Matter · Physics 2012-02-21 L. L. Lee , G. Pellicane

We develop an Fe-C-H interatomic potential based on the modified embedded-atom method (MEAM) formalism based on density functional theory to enable large-scale modular dynamics simulations of carbon steel and hydrogen.

Materials Science · Physics 2022-07-08 Sungkwang Mun , Nayeon Lee , Doyl Dickel , Sara Adibi , Bradley Huddleston , Raj Prabhu , Krista Limmer

We demonstrate that Widom's particle insertion technique provides a convenient and efficient method to determine the effective pair interaction between complex, composite soft-matter particles in the zero-density limit. By means of three…

Soft Condensed Matter · Physics 2010-11-15 Bianca M. Mladek , Daan Frenkel

One suggestion for determining the properties of QCD at finite temperatures and densities is to carry out lattice simulations with an imaginary chemical potential whereby no sign problem arises, and to convert the results to real physical…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , M. Laine , O. Philipsen

We employ the adaptive resolution approach AdResS, in its recently developed Grand Canonical-like version (GC-AdResS) [Wang et al. Phys.Rev.X 3, 011018 (2013)], to calculate the excess chemical potential, $\mu^{ex}$, of various liquids and…

Statistical Mechanics · Physics 2014-11-11 Animesh Agarwal , Han Wang , Christof Schütte , Luigi Delle Site

In this article we review the thermodynamics of liquids in the framework of the inherent structure formalism. We then present calculations of the distribution of the basins in the potential energy of a binary Lennard-Jones mixture as a…

Soft Condensed Matter · Physics 2009-10-31 F. Sciortino , W. Kob , P. Tartaglia

A truly isolated atom always has an integer number of electrons. If placed in contact with a far-away metallic reservoir, a {\em range} of metallic chemical potentials $\mu$ will lead to an identical number of electrons, $N$, on the atom.…

Chemical Physics · Physics 2019-03-07 Kelsie NIffenegger , Yan Oueis , Jonathan Nafziger , Adam Wasserman

We use inverse methods of statistical mechanics to explore trade-offs associated with designing interactions to stabilize self-assembled structures against changes in density or temperature. Specifically, we find isotropic,convex-repulsive…

Soft Condensed Matter · Physics 2018-01-10 William D. Piñeros , Michael Baldea , Thomas M. Truskett

The excess free energy functional of classical density functional theory depends upon the type of fluid model, specifically on the choice of (pair) potential, is unknown in general, and is approximated reliably only in special cases. We…

Soft Condensed Matter · Physics 2025-03-12 Stefanie M. Kampa , Florian Sammüller , Matthias Schmidt , Robert Evans

This article explores the van der Waals gas model proposed to describe the hadronic stages of nuclear fireball evolution during the cooling stage. Two different models were proposed for the early and late stages of hadronization. At the…

High Energy Physics - Phenomenology · Physics 2023-05-18 Yaroslav D. Krivenko-Emetov , Andriy I. Smetana

We use functional, Fr\'echet, derivatives to quantify how thermodynamic outputs of a molecular dynamics (MD) simulation depend on the potential used to compute atomic interactions. Our approach quantifies the sensitivity of the quantities…

Computational Physics · Physics 2020-04-08 Samuel Temple Reeve , Alejandro Strachan

We present a method to facilitate Monte Carlo simulations in the grand canonical ensemble given a target mean particle number. The method imposes a fictitious dynamics on the chemical potential, to be run concurrently with the Monte Carlo…

Statistical Mechanics · Physics 2022-04-27 Cole Miles , Benjamin Cohen-Stead , Owen Bradley , Steven Johnston , Richard Scalettar , Kipton Barros

Computing the solubility of crystals in a solvent using atomistic simulations is notoriously challenging due to the complexities and convergence issues associated with free-energy methods, as well as the slow equilibration in…

Statistical Mechanics · Physics 2023-11-15 Aleks Reinhardt , Pin Yu Chew , Bingqing Cheng

We consider diffusion of particles on a lattice in the so-called dynamical mean-field regime (memory effects are neglected). Interactions are local, that is, only among particles at the same lattice site. It is shown that a statistical…

Statistical Mechanics · Physics 2021-12-03 Matías A. Di Muro , Miguel Hoyuelos

All-atom dynamics simulations are an indispensable quantitative tool in physics, chemistry, and materials science, but large systems and long simulation times remain challenging due to the trade-off between computational efficiency and…

Materials Science · Physics 2024-03-21 Stephen R. Xie , Matthias Rupp , Richard G. Hennig

We present a versatile density functional approach (DFT) for calculating the depletion potential in general fluid mixtures. In contrast to brute force DFT, our approach requires only the equilibrium density profile of the small particles…

Soft Condensed Matter · Physics 2009-10-31 R. Roth , R. Evans , S. Dietrich