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Pairwise models like the Ising model or the generalized Potts model have found many successful applications in fields like physics, biology, and economics. Closely connected is the problem of inverse statistical mechanics, where the goal is…

无序系统与神经网络 · 物理学 2022-01-12 Christoph Feinauer , Carlo Lucibello

An effective Hamiltonian for the ferroelectric transition in $PbTiO_3$ is constructed from first-principles density-functional-theory total-energy and linear-response calculations through the use of a localized, symmetrized basis set of…

mtrl-th · 物理学 2009-10-28 K. M. Rabe , U. V. Waghmare

We develop a theory describing a parameter based phase diagram to be associated with materials incorporating skipped valence ions\cite{Varma}. We use a recently developed tight-binding approach for the bismuthates to study the phase diagram…

材料科学 · 物理学 2018-11-14 Arash Khazraie , Kateryna Foyevtsova , Ilya Elfimov , George A. Sawatzky

The work presents a thermomechanical model for polycrystalline NiTi-based shape memory alloys developed within the framework of generalized standard solids, which is able to cover loading-mode dependent localization of the martensitic…

材料科学 · 物理学 2025-04-24 M. Frost , B. Benešová , H. Seiner , M. Kružík , P. Šittner , P. Sedlák

The formal link between the linear combination of atomic orbitals approach to density functional theory and two-center Slater-Koster tight-binding models is used to derive an orthogonal $d$-band tight-binding model for iron with only two…

材料科学 · 物理学 2015-03-19 Georg K. H. Madsen , Eunan J. McEniry , Ralf Drautz

An interatomic potential for Al-Tb alloy around the composition of Al90Tb10 was developed using the deep neural network (DNN) learning method. The atomic configurations and the corresponding total potential energies and forces on each atom…

材料科学 · 物理学 2023-07-19 L. Tang , Z. J. Yang , T. Q. Wen , K. M. Ho , M. J. Kramer , C. Z. Wang

The crystal structures and phonon spectra of orthorhombic cadmium titanate with the $Pbnm$ structure and of its two possible ferroelectrically distorted phases with $Pbn2_1$ and $Pb2_1m$ space groups were calculated from first principles…

材料科学 · 物理学 2015-07-27 Alexander I. Lebedev

We present a scheme to construct model potentials, with parameters computed from first principles, for large-scale lattice-dynamical simulations of materials. Our method mimics the traditional solid-state approach to the investigation of…

This paper presents a proposal of a rather new type of effective interatomic interaction for molecular dynamics and similar applications. The model consists of atoms with prescribed geometric arrangement of active orbitals, represented by…

化学物理 · 物理学 2009-10-19 Ladislav Kocbach , Suhail Lubbad

We develop a first-principles scheme to study ferroelectric phase transitions for perovskite compounds. We obtain an effective Hamiltonian which is fully specified by first-principles ultra-soft pseudopotential calculations. This approach…

凝聚态物理 · 物理学 2009-10-22 W. Zhong , David Vanderbilt , K. M. Rabe

Ferroelectric perovskites have been ubiquitously applied in piezoelectric devices for decades, among which, eco-friendly lead-free (K,Na)NbO3-based materials have been recently demonstrated to be an excellent candidate for sustainable…

材料科学 · 物理学 2023-01-18 Hao-Cheng Thong , XiaoYang Wang , Han Wang , Linfeng Zhang , Ke Wang , Ben Xu

In this paper we introduce a 3D phenomenological model for shape memory behavior, accounting for: martensite reorientation, asymmetric response of the material to tension/compression, different kinetics between forward and reverse phase…

偏微分方程分析 · 数学 2012-10-05 Ferdinando Auricchio , Elena Bonetti

Liquid-liquid phase transitions have been found experimentally or by computer simulations in many compounds such as water, hydrogen, sulfur, phosphorus, carbon, silica, and silicon. Limited valence model implemented via event-driven…

软凝聚态物质 · 物理学 2024-07-02 S. V. Buldyrev

Over the past decade inter-atomic potentials based on machine-learning (ML) techniques have become an indispensable tool in the atomic-scale modeling of materials. Trained on energies and forces obtained from electronic-structure…

材料科学 · 物理学 2022-08-15 Michele Ceriotti

We obtain parameters for non-orthogonal and orthogonal TB models from two-atomic molecules for all combinations of elements of period 1 to 6 and group 3 to 18 of the periodic table. The TB bond parameters for 1711 homoatomic and…

材料科学 · 物理学 2021-02-17 Jan Jenke , Alvin N. Ladines , Thomas Hammerschmidt , David G. Pettifor , Ralf Drautz

In this third paper of the series, which started with [N. P. Bailey et al., J. Chem. Phys. 129, 184507 and 184508 (2008)], we continue the development of the theoretical understanding of strongly correlating liquids - those whose…

软凝聚态物质 · 物理学 2013-01-29 Thomas B. Schrøder , Nicholas P. Bailey , Ulf R. Pedersen , Nicoletta Gnan , Jeppe C. Dyre

Semi-Empirical Tight Binding (TB) is known to be a scalable and accurate atomistic representation for electron transport for realistically extended nano-scaled semiconductor devices that might contain millions of atoms. In this paper an…

材料科学 · 物理学 2015-06-18 Ganesh Hegde , Michael Povolotskyi , Tillmann Kubis , Timothy Boykin , Gerhard Klimeck

Modeling ferroelectric materials from first principles is one of the successes of density-functional theory, and the driver of much development effort, requiring an accurate description of the electronic processes and the thermodynamic…

材料科学 · 物理学 2022-10-26 Lorenzo Gigli , Max Veit , Michele Kotiuga , Giovanni Pizzi , Nicola Marzari , Michele Ceriotti

Electrokinetic phenomena in nanopore sensors and microfluidic devices require accurate simulation of coupled fluid-electrostatic interactions in geometrically complex domains with irregular boundaries and adaptive mesh refinement. We…

数值分析 · 数学 2026-02-19 Sudheer Mishra , Sundararajan Natarajan , E. Natarajan , Gianmarco Manzini

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…

材料科学 · 物理学 2018-04-20 V. A. Mukhanov , O. O. Kurakevych , V. L. Solozhenko