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The quasi-harmonic approximation (QHA) is a powerful method that uses the volume dependence of non-interacting phonons to compute the free energy of materials at high pressures (P) and temperatures (T). However, anharmonicity, electronic…

Computational Physics · Physics 2023-08-09 Hongjin Wang , Jingyi Zhuang , Zhen Zhang , Qi Zhang , Renata M. Wentzcovitch

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

The free energy and other thermodynamic properties of hexagonal-close-packed iron are calculated by direct {\em ab initio} methods over a wide range of pressures and temperatures relevant to the Earth's core. The {\em ab initio}…

Condensed Matter · Physics 2007-05-23 D. Alfe` , G. D. Price , M. J. Gillan

To address the effects of lattice anharmonicity across the perovskite to post-perovskite transition in MgSiO$_3$, we conduct calculations using the phonon quasiparticle (PHQ) approach. The PHQ is based on \textit{ab initio} molecular…

Materials Science · Physics 2022-12-05 Zhen Zhang , Renata M. Wentzcovitch

The Helmholtz energy is a key thermodynamic quantity representing available energy to do work at a constant temperature and volume. Despite a well-established methodology from first-principles calculations, a comprehensive tool and database…

Materials Science · Physics 2025-04-25 Nigel Lee En Hew , Luke Allen Myers , Axel van de Walle , Shun-Li Shang , Zi-Kui Liu

Energy analyzers are important plasma diagnostic tools with applications in a broad range of disciplines including molecular spectroscopy, electron microscopy, basic plasma physics, plasma etching, plasma processing, and ion sputtering…

Plasma Physics · Physics 2016-10-04 Angel Gonzalez-Lizardo , Ernesto Ulloa

The phase diagram of numerous materials of technological importance features high-symmetry high-temperature phases that exhibit phonon instabilities. Leading examples include shape-memory alloys, as well as ferroelectric, refractory, and…

Materials Science · Physics 2017-02-06 Sara Kadkhodaei , Qi-Jun Hong , Axel van de Walle

Phase diagrams serve as a highly informative tool for materials design, encapsulating information about the phases that a material can manifest under specific conditions. In this work, we develop a method in which Bayesian inference is…

Materials Science · Physics 2023-09-06 Timofei Miryashkin , Olga Klimanova , Vladimir Ladygin , Alexander Shapeev

The Bethe free energy approximation provides an effective way for relaxing NP-hard problems of probabilistic inference. However, its accuracy depends on the model parameters and particularly degrades if a phase transition in the model…

Machine Learning · Statistics 2024-10-24 Harald Leisenberger , Christian Knoll , Franz Pernkopf

The microscopic approach to calculating the free energy of a three-dimensional Ising-like system in a homogeneous external field is developed in the higher non-Gaussian approximation (the $\rho^6$ model) at temperatures above the critical…

Statistical Mechanics · Physics 2008-12-11 I. V. Pylyuk , M. P. Kozlovskii

Accurate free-energy calculations are essential for predicting thermodynamic properties and phase stability, but existing methods are limited: phonon-based approaches neglect anharmonicity and liquids, while molecular dynamics (MD) is…

Materials Science · Physics 2025-11-19 Ekaterina Spirande , Timofei Miryashkin , Andrei Kolmakov , Alexander Shapeev

We generalize a previously established ab initio approach-originally developed for hexagonal close-packed (hcp) metals-to accommodate solids with both internal and external degrees of freedom. This extension enables the thermodynamic and…

Materials Science · Physics 2026-03-06 Xuejun Gong , Andrea Dal Corso

An analytic method for deriving the free energy of a three-dimensional Ising-like system near the critical point in a homogeneous external field is developed in the $\rho^6$ model approximation. The mathematical description proposed for…

Statistical Mechanics · Physics 2007-11-21 I. V. Pylyuk

Understanding the phase behavior of semiconductor materials is important for applications in solid state physics and nanoscience. Accurate experimental data is often difficult to obtain due to strong kinetic effects. In this work, we…

Chemical Physics · Physics 2018-10-10 Tobias Schäfer , Zhaochuan Fan , Michael Grünwald , Georg Kresse

We have used ab-initio density functional theory technique to understand the phase transitions and structural changes in various high temperature/pressure phases of LiAlO2. The electronic band structure as well as phonon spectra are…

Materials Science · Physics 2018-06-05 Baltej Singh , M. K. Gupta , R. Mittal , S. L. Chaplot

The thermodynamics of phase transitions between phases that are size-mismatched but coherent differs from conventional stress-free thermodynamics. Most notably, in open systems such phase transitions are always associated with hysteresis.…

Materials Science · Physics 2022-04-26 J. Magnus Rahm , Joakim Löfgren , Paul Erhart

Consider a model of particles (nucleons) which has a two-body interaction which leads to bound composites with saturation properties. These properties are : all composites have the same density and the ground state energies of composites…

Statistical Mechanics · Physics 2009-11-11 G. Chaudhuri , S. Das Gupta , M. Sutton

The structural phase behaviors of pure zirconium metal under compressions up to $160$ GPa at room temperature are investigated from the perspective of ensemble theory where the partition function is solved by our recently proposed method…

Materials Science · Physics 2022-10-21 Bo-Yuan Ning

We study the thermodynamics of the electroweak theory at a finite lepton number density. The phase diagram of the theory is calculated by relating the full 4-dimensional theory to a 3-dimensional effective theory which has been previously…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Gynther

We calculate the phase diagrams for a harmonically trapped ideal gas mixture of fermionic atoms and bosonic molecules in chemical and thermal equilibrium, where the internal energy of the molecules can be adjusted relative to that of the…

Statistical Mechanics · Physics 2009-11-10 J. E. Williams , N. Nygaard , C. W. Clark
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