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Predictions of relative stabilities of (competing) molecular crystals are of great technological relevance, most notably for the pharmaceutical industry. However, they present a long-standing challenge for modeling, as often minuscule free…

Materials Science · Physics 2022-05-25 Venkat Kapil , Edgar A Engel

We devise automated workflows for the calculation of Helmholtz and Gibbs free energies and their temperature and pressure dependence and provide the corresponding computational tools. We employ non-equilibrium thermodynamics for evaluating…

Materials Science · Physics 2021-10-13 Sarath Menon , Yury Lysogorskiy , Jutta Rogal , Ralf Drautz

We propose a new method to compute the free energy or enthalpy of fluids or disordered solids by computer simulation . The main idea is to construct a reference system by freezing one representative configuration, and then carry out a…

Computational Physics · Physics 2011-03-16 Friederike Schmid , Tanja Schilling

A novel thermodynamic integration (TI) scheme is presented that allows computing the free energy of grain boundaries (GBs) in crystals from atomistic computer simulation. Unlike previous approaches, the method can be applied at arbitrary…

Statistical Mechanics · Physics 2018-09-12 Saswati Ganguly , Jürgen Horbach

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

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

Atomistic simulations are employed to demonstrate the existence of a well-defined thermodynamic phase transformation between grain boundary (GB) phases with different atomic structures. The free energy of different interface structures for…

Materials Science · Physics 2018-09-19 Rodrigo Freitas , Robert E. Rudd , Mark Asta , Timofey Frolov

For small thermodynamic systems in contact with a heat bath, we determine the free energy by imposing the following two conditions. First, the quasi-static work in any configuration change is equal to the free energy difference. Second, the…

Statistical Mechanics · Physics 2022-10-19 Shin-ichi Sasa , Ken Hiura , Naoko Nakagawa , Akira Yoshida

In this paper we discuss how the information contained in atomistic simulations of homogeneous nucleation should be used when fitting the parameters in macroscopic nucleation models. We show how the number of solid and liquid atoms in such…

Statistical Mechanics · Physics 2017-10-11 Bingqing Cheng , Gareth A. Tribello , Michele Ceriotti

We develop a quantum algorithm for estimating the free energy as well as the total Gibbs state of interacting quantum Coulomb gases and molecular systems in dimensions $d \in \{2,3\}$ at finite temperature. These systems lie beyond the…

Quantum Physics · Physics 2026-04-17 Simon Becker , Cambyse Rouzé , Robert Salzmann

The computational modelling of reactions is simple in theory but can be quite tricky in practice. This article aims at the purpose of providing an assistance to a proper way of describing reactions theoretically and provides rough…

Chemical Physics · Physics 2017-02-14 Arnim Hellweg , Frank Eckert

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

The calculation of free energies from first principles in materials is a formidable task which enables the prediction of phase stability with high accuracy; these calculations are complicated in magnetic materials by the interplay of…

Materials Science · Physics 2023-01-18 Davide Gambino , Johan Klarbring , Björn Alling

We are going to analyze the nucleation of vortices in a thin mesoscopic superconducting disk. The Gibbs free energy from London model is formulated. This energy function, with an arbitrary configuration of vortices, is assoicated with the…

Superconductivity · Physics 2010-04-21 W. M. Wu , M. B. Sobnack , F. V. Kusmartsev

To gain a deeper insight into the anomalous yield behavior of Ni3Al, it is essential to obtain temperature-dependent formation Gibbs energies of the relevant planar defects. Here, the Gibbs energy of the complex stacking fault (CSF) is…

Materials Science · Physics 2025-08-22 Xiang Xu , Xi Zhang , Andrei Ruban , Siegfried Schmauder , Blazej Grabowski

Thermodynamic Integration (TI) is the state-of-the-art computational technique for accurate Gibbs free energy predictions of solids. Conventional TI schemes start from an NVT harmonic reference and require three successive corrections to…

Taking advantage of the advances in generative deep learning, particularly normalizing flow, a framework, called Boltzmann Generator, has recently been proposed for the purpose of generating equilibrium atomic configurations from the…

Statistical Mechanics · Physics 2022-07-27 Rasool Ahmad , Wei Cai

The Gibbs energy, G, determines the equilibrium conditions of chemical reactions and materials stability. Despite this fundamental and ubiquitous role, G has been tabulated for only a small fraction of known inorganic compounds, impeding a…

Simple application of the Einstein model combined with the elastic description of solid state is developed. The frequency of quantum oscillators has been assumed as volume dependent and, furthermore, elastic energy terms of static character…

Statistical Mechanics · Physics 2013-04-09 Tadeusz Balcerzak , Karol Szałowski , Michal Jaščur

In this paper, we developed a thermodynamically consistent approach to account for the Gibbs energy of pure metallic element with thermal vacancy over wide temperature range. Taking body centered cubic (bcc) W for a demonstration, the…

Materials Science · Physics 2018-05-17 Ying Tang , Lijun Zhang
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