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The B-Pt alloy system contains several Pt-rich phases exhibiting complex structures, many with partial site occupation. It also exhibits a deep (nearly 1000 degrees C) eutectic. We evaluate the ab-initio total energies of the crystalline…

Materials Science · Physics 2024-11-18 Michael Widom

Employing a local formula for the electron-electron interaction energy, we derive a self-consistent approximation for the total energy of a general $N$-electron system. Our scheme works as a local variant of the Thomas-Fermi approximation…

Chemical Physics · Physics 2013-10-31 E. Rasanen , A. Odriazola , I. Makkonen , A. Harju

In this paper, we report dynamic Monte Carlo simulations of melting and crystallization in a single-chain system. Their free energy barriers are calculated by the umbrella sampling method and can be described well by a simple expression…

Soft Condensed Matter · Physics 2007-05-23 Wenbing Hu , Daan Frenkel , Vincent B. F. Mathot

In this work a method is proposed for computing step free energies for faceted solid-liquid interfaces based on atomistic simulations. The method is demonstrated in an application to (111) interfaces in elemental Si, modeled with the…

Materials Science · Physics 2012-12-11 Timofey Frolov , Mark Asta

Freezing of simple liquid metals and the relative stabilities of competing crystalline solids are investigated using thermodynamic perturbation theory, the interactions between ions being modeled by effective pair potentials derived from…

Materials Science · Physics 2009-10-31 A. R. Denton , G. Kahl , J. Hafner

In this contribution I critically revise the alchemical reversible approach in the context of the statistical mechanics theory of non covalent bonding in drug receptor systems. I show that most of the pitfalls and entanglements for the…

Biomolecules · Quantitative Biology 2016-06-29 Piero Procacci

A method based on the Gibbs' adsorption isotherm is developed to calculate the decrease in interfacial free energy resulting from solute segregation at an internal interface, built on measured concentration profiles. Utilizing atom-probe…

Materials Science · Physics 2020-03-04 Ivan Blum , Sung-Il Baik , Mercouri G. Kanatzidis , David N. Seidman

We propose an approach for computing the Gibbs free energy difference between phases of a material. The method is based on the determination of the average force acting on interfaces that separate the two phases of interest. This force,…

Statistical Mechanics · Physics 2015-10-26 Ulf R. Pedersen , Felix Hummel , Georg Kresse , Gerhard Kahl , Christoph Dellago

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

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

The decomposition kinetics of a solid-solution into separate phases are analyzed with an equation of motion initially developed to account for dissipative processes in quantum systems. This equation and the steepest-entropy-ascent quantum…

Statistical Mechanics · Physics 2019-05-22 Ryo Yamada , Michael R. von Spakovsky , William T. Reynolds,

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

In this thesis a new model for calculating the total energy of atomic and solid systems is presented. The model is used to study the properties of the Si(100) surface and dislocation dynamics in the diamond structure. For the Si(100)…

Condensed Matter · Physics 2007-05-23 Kurt Stokbro

A general set of methods is presented for calculating chemical potentials in solid and liquid mixtures using {\em ab initio} techniques based on density functional theory (DFT). The methods are designed to give an {\em ab initio} approach…

Materials Science · Physics 2009-11-07 D. Alfe` , M. J. Gillan , G. D. Price

Computing phase diagrams of model systems is an essential part of computational condensed matter physics. In this paper we discuss in detail the interface pinning (IP) method for calculation of the Gibbs free energy difference between a…

Statistical Mechanics · Physics 2015-10-26 Ulf R. Pedersen

We present a new method to evaluate vibrational free energies of atomic systems without a priori specification of an interatomic potential. Our model-agnostic approach leverages descriptors, high-dimensional feature vectors of atomic…

Materials Science · Physics 2025-03-05 Thomas D Swinburne , Clovis Lapointe , Mihai-Cosmin Marinica

A multilevel approach to sample the potential energy surface in a path integral formalism is proposed. The purpose is to reduce the required number of ab initio evaluations of energy and forces in ab initio path integral molecular dynamics…

Computational Physics · Physics 2014-12-22 Hua Y. Geng

We employ classical thermodynamics to gain information about absolute entropy, without recourse to statistical methods, quantum mechanics or the Third Law of thermodynamics. The Gibbs-Duhem equation yields various simple methods to…

Statistical Mechanics · Physics 2018-09-28 Andrew Steane

The solid-liquid interface free energy \gamma sl is a key parameter controlling nucleation and growth during solidification and other phenomena. There are intrinsic difficulties in obtaining accurate experimental values, and the previous…

Materials Science · Physics 2010-05-20 Stefano Angioletti-Uberti , Michele Ceriotti , Mike W. Finnis , Peter D. Lee

In this paper we devise and analyze a mixed finite element method for a modified Cahn-Hilliard equation coupled with a non-steady Darcy-Stokes flow that models phase separation and coupled fluid flow in immiscible binary fluids and diblock…

Numerical Analysis · Mathematics 2013-12-24 Amanda E. Diegel , Xiaobing H. Feng , Steven M. Wise