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Measurements of the sound velocities in a single crystal of FeSi were performed in the temperature range 4-300 K. Elastic constants $C_{12}$ and $C_{44}$ deviate from a quasiharmonic behavior at high temperature; whereas, $C_{12}$ increases…

Strongly Correlated Electrons · Physics 2015-05-14 Alla E. Petrova , Vladimir N. Krasnorussky , Sergei M. Stishov

We calculate the thermomechanical properties of $\alpha$-iron, and in particular its isothermal and adiabatic elastic constants, using first-principles total-energy and lattice-dynamics calculations, minimizing the quasi-harmonic…

Materials Science · Physics 2015-06-23 Daniele Dragoni , Davide Ceresoli , Nicola Marzari

The mechanical properties of crystalline materials can be substantially modified under confinement. Such modified macroscopic properties are usually governed by the altered microstructures and internal stress fields. Here, we use a parallel…

Soft Condensed Matter · Physics 2016-10-25 Neil Y. C. Lin , Itai Cohen

We present a new method for modeling disordered solid solutions, based on the virtual crystal approximation (VCA). The VCA is a tractable way of studying configurationally disordered systems; traditionally, the potentials which represent…

Materials Science · Physics 2009-10-31 Nicholas J. Ramer , Andrew M. Rappe

An enhanced static approximation for the electron self energy operator is proposed for efficient calculation of quasiparticle energies. Analysis of the static COHSEX approximation originally proposed by Hedin shows that most of the error…

Materials Science · Physics 2010-11-18 Wei Kang , Mark S. Hybertsen

The efficient and accurate calculation of how ionic quantum and thermal fluctuations impact the free energy of a crystal, its atomic structure, and phonon spectrum is one of the main challenges of solid state physics, especially when strong…

Atomic structures of Al-Co-Cu decagonal quasicrystals (QCs) are investigated using empirical oscillating pair potentials (EOPP) in molecular dynamic (MD) simulations that we enhance by Monte Carlo (MC) swapping of chemical species and…

Materials Science · Physics 2024-04-23 Y. Huang , M. Widom , M. Mihalkovič

Due to their aperiodic nature, quasicrystals are one of the least understood phases in statistical physics. One significant complication they present in comparison to their periodic counterparts is the fact that any quasicrystal can be…

Soft Condensed Matter · Physics 2024-02-01 Etienne Fayen , Laura Filion , Giuseppe Foffi , Frank Smallenburg

Classical density-functional theory is employed to study finite-temperature trends in the relative stabilities of one-component quasicrystals interacting via effective metallic pair potentials derived from pseudopotential theory. Comparing…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner

The features for the unsteady process of thermal equilibration ("the fast motions") in a one-dimensional harmonic crystal lying in a viscous environment (e.g., a gas) are under investigation. It is assumed that initially the displacements…

Statistical Mechanics · Physics 2021-02-16 Serge N. Gavrilov , Anton M. Krivtsov

Two methods are proposed to evaluate the second-order elastic constants of quantum mechanically treated solids. One method is based on path-integral simulations in the (NVT) ensemble using an estimator for elastic constants. The other…

Materials Science · Physics 2013-05-29 Philipp Schoffel , Martin H. Muser

We study the elastic properties of incommensurate solid 4He in the limit of zero temperature. Specifically, we calculate the pressure dependence of the five elastic constants (C11, C12, C13, C33, and C44), longitudinal and transversal…

Other Condensed Matter · Physics 2013-02-06 Claudio Cazorla , Yaroslav Lutsyshyn , Jordi Boronat

In this paper, we did a systematic comparative study on the accuracy of two computational methods of elastic constants combined with the density functional theory (DFT), the stress-strain method and the energy-strain method. We took metal…

Materials Science · Physics 2020-05-12 Zhong-Li Liu , Xiu-Lu Zhang , Cuan-Cuan Zhu , Hai-Yan Wang

Halide perovskites, with prototype cubic phase ABX3, undergo various phase transitions accompanied by rigid rotations of corner-sharing BX6 octahedra. Using first-principles density functional theory calculations, we have performed a…

Materials Science · Physics 2018-03-16 Fazel Shojaei , Wan-Jian Yin

A stress equilibration procedure for hyperelastic material models is proposed andanalyzed in this paper. Based on the displacement-pressure approximation computed with a stable finite element pair, it constructs, in a vertex-patch-wise…

Numerical Analysis · Mathematics 2019-05-07 Fleurianne Bertrand , Marcel Moldenhauer , Gerhard Starke

A statistical theory of cholesteric liquid crystals composed of short rigid biaxial molecules is presented. It is derived in the thermodynamic limit at a small density and a small twist. The uniaxial (biaxial) cholesteric phase is regarded…

Soft Condensed Matter · Physics 2009-10-21 A. Kapanowski

On the basis of the extended classical elasticity theory, we propose universal semi-empirical analytical expressions for the energy and the equation of state for poly-crystalline solids. The validation of the relations has been made by…

Materials Science · Physics 2026-05-18 O. Bystrenko , B. Ilkiv , S. Petrovska , T. Bystrenko , O. Foia , O. Khyzhun

The equilibration of sinusoidally modulated distribution of the kinetic temperature is analyzed in the $\beta$-Fermi-Pasta-Ulam-Tsingou chain with different degrees of nonlinearity and for different wavelengths of temperature modulation.…

This work presents a detailed description of the thermochemical non-equilibrium dissociation of diatomic molecules, and applies this theory to the case of $\rm H_2$ dissociation. The master equations are used to derive corresponding…

Chemical Physics · Physics 2025-01-06 Alex T. Carroll , Jacob Wolmer , Guillaume Blanquart , Aaron M. Brandis , Brett A. Cruden

Understanding and predicting lattice dynamics in strongly anharmonic crystals is one of the long-standing challenges in condensed matter physics. Here we propose a first-principles method that gives accurate quasiparticle (QP) peaks of the…

Materials Science · Physics 2022-11-09 Terumasa Tadano , Wissam A. Saidi