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A number of successful theoretical models of hardness have been developed recently. A thermodynamic model of hardness, which supposes the intrinsic character of correlation between hardness and thermodynamic properties of solids, allows one…

Materials Science · Physics 2018-04-20 V. A. Mukhanov , O. O. Kurakevych , V. L. Solozhenko

It is a long-time pursuit of computations with \emph{ab initio} precision of thermal contributions to phase behaviors of condensed matters under extreme conditions. In this work, the pressure induced structural phase transitions of…

Materials Science · Physics 2022-12-13 Bo-Yuan Ning , Li-Yuan Zhang

For classical discrete systems under constant composition typically refferred to substitutional alloys, we propose calculation method of Helmholtz free energy based on a set of special microscopic states. The advantage of the method is that…

Statistical Mechanics · Physics 2021-10-22 Ryogo Miyake , Subaru Sugie , Koretaka Yuge

Marcus et al. (Marcus P, Ma H and Qiu S L 2002 J. Phys.: Condens. Matter 14 L525) claim that thermodynamic properties of materials under pressure must be computed using the Gibbs free energy $G$, rather than the internal energy $E$. Marcus…

Materials Science · Physics 2009-11-10 Gerd Steinle-Neumann , R. E. Cohen

The resource theory with covariant Gibbs-preserving operations, also called enhanced thermal operations, is investigated. We prove that with the help of a correlated catalyst, the state convertibility for any coherent state is fully…

Quantum Physics · Physics 2026-04-13 Naoto Shiraishi

Defects determine many important properties and applications of materials, ranging from doping in semiconductors, to conductivity in mixed ionic-electronic conductors used in batteries, to active sites in catalysts. The theoretical…

Materials Science · Physics 2024-04-17 Irea Mosquera-Lois , Seán R. Kavanagh , Johan Klarbring , Kasper Tolborg , Aron Walsh

We present a Monte Carlo simulation technique by which the free energy of disordered systems can be computed directly. It is based on thermodynamic integration. The central idea is to construct an analytically solvable reference system from…

Statistical Mechanics · Physics 2015-05-14 Tanja Schilling , Friederike Schmid

We propose a new approach, "structure integration", enabling direct evaluation of configurational free energy for large systems. The present approach is based on the statistical information of lattice. Through first-principles-based…

Materials Science · Physics 2015-12-01 Kazuhito Takeuchi , Ryohei Tanaka , Koretaka Yuge

A lattice system of interacting temperature loops, which is used in the Euclidean approach to describe equilibrium thermodynamic properties of an infinite system of interacting quantum particles performing anharmonic oscillations (quantum…

Mathematical Physics · Physics 2007-05-23 Yuri Kozitsky , Tatiana Pasurek

We analyse the finite-size corrections to the free energy of crystals with a fixed center of mass. When we explicitly correct for the leading ($\ln N/N$) corrections, the remaining free energy is found to depend linearly on 1/N.…

Statistical Mechanics · Physics 2009-10-31 J. M. Polson , E. Trizac , S. Pronk , D. Frenkel

In this paper we study computationally feasible bounds for relative free energies between two many-particle systems. Specifically, we consider systems out of equilibrium that do not necessarily satisfy a fluctuation-dissipation relation,…

Statistical Mechanics · Physics 2024-03-19 Luigi Delle Site , Carsten Hartmann

Using a novel thermodynamic integration scheme, we compute the excess free energy, $\gamma$, of a glass-forming, binary Lennard-Jones liquid in contact with a frozen amorphous wall, formed by particles frozen into a similar structure as the…

Statistical Mechanics · Physics 2015-06-23 Ronald Benjamin , Jürgen Horbach

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

The presented paper is an attempt to investigate the dynamical states of an hydrodynamical isothermal turbulent self-gravitating system using some powerful tools of the classical thermodynamics. Our main assumption, inspired by the work of…

Astrophysics of Galaxies · Physics 2023-11-21 Sava Donkov , Ivan Zh. Stefanov , Todor V. Veltchev

In this work, I propose a statistical mechanical framework, for the evaluation of the free energy in molecular systems, by "deleting" all the molecules in a "single" step. The approach can be considered as the statistical mechanics…

Statistical Mechanics · Physics 2011-08-16 Georgios C. Boulougouris

The atomic structure, mechanical and thermodynamic stability of vacancy clusters in Cu are studied by atomistic simulations. The most stable atomic configuration of small vacancy clusters is determined. The mechanical stability of the…

Materials Science · Physics 2011-05-20 Qing Peng , Xu Zhang , Gang Lu

The dynamical convergence of a system to the thermal distribution, or Gibbs state, is a standard assumption across all of the physical sciences. The Gibbs state is determined just by temperature and the system's energies alone. But at…

Quantum Physics · Physics 2022-06-27 A. S. Trushechkin , M. Merkli , J. D. Cresser , J. Anders

{\em Ab initio} techniques based on density functional theory in the projector-augmented-wave implementation are used to calculate the free energy and a range of other thermodynamic properties of liquid iron at high pressures and…

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

Estimating vibrational entropy is a significant challenge in thermodynamics and statistical mechanics due to its reliance on quantum mechanical properties. This paper introduces a quantum algorithm designed to estimate vibrational entropy…

Quantum Physics · Physics 2025-11-25 Shangjie Guo , Corneliu Buda , Nathan Wiebe

We discuss the computation of the grand canonical partition sum describing hot matter in systems with the Higgs mechanism in the presence of non-zero conserved global charges. We formulate a set of simple rules for that computation in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Yu. Khlebnikov , M. E. Shaposhnikov