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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

We report a theoretical study of dielectric properties of models of amorphous Boron Nitride, using interatomic potentials generated by machine learning. We first perform first-principles simulations on small (about $100$ atoms in the…

Based on thermodynamic integration we introduce atoms in molecules (AIM) using the orbital-free framework of alchemical perturbation density functional theory (APDFT). Within APDFT, atomic energies and electron densities in molecules are…

Chemical Physics · Physics 2020-06-15 Guido Falk von Rudorff , O. Anatole von Lilienfeld

A new electronic structure model is developed in which the ground state energy of a molecular system is given by a Hartree-Fock-like expression with parametrized one- and two-electron integrals over an extended (minimal + polarization) set…

Chemical Physics · Physics 2014-02-11 Dimitri N. Laikov

The Electron Localization Function (ELF) by Becke and Edgecombe [J. Chem. Phys. {\bf 92}, 5397 (1990)] is routinely adopted as a descriptor of atomic shells and covalent bonds. Since the ELF and its related quantities find useful…

Materials Science · Physics 2018-08-29 Stefano Pittalis , Daniele Varsano , Alain Delgado , Carlo Andrea Rozzi

Alchemical perturbation density functional theory has been shown to be an efficient and computationally inexpensive way to explore chemical compound space. We investigate approximations made, in terms of atomic basis sets and perturbation…

Chemical Physics · Physics 2020-10-28 Giorgio Domenichini , Guido Falk von Rudorff , O. Anatole von Lilienfeld

Electron density distribution plays an essential role in predicting molecular properties. It is also a simple observable from which machine-learning models for molecular electronic structure can be derived. In the present work, we present…

Chemical Physics · Physics 2022-04-01 Lan Nguyen Tran

A rigorous free energy model for ternary fluid flows with density ratio up to of order $O(10^3)$ is presented and implemented using the entropic lattice Boltzmann scheme. The model is thermodynamically consistent and allows a broad range of…

We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann

Methods for estimating the correlation energy of molecules and other electronic systems are discussed based on the assumption that the correlation energy can be partitioned between atomic regions. In one method, the electron density is…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

In this work, we present large-scale electron-correlated computations on various conformers of B$_{12}$H$_{12}$ and B$_{12}$H$_{6}$ clusters, to understand the reasons behind the high stability of di-anion icosahedron ($I_{h}$) and…

Chemical Physics · Physics 2022-01-03 Pritam Bhattacharyya , Ihsan Boustani , Alok Shukla

It can be shown that the bosonic degree of freedom of the tightly bound on-site electron pairs could be separated as Schwinger bosons. This is implemented by projecting the whole Hilbert space into the Hilbert subspace spanned by states of…

Strongly Correlated Electrons · Physics 2009-11-07 Gang Su , Masuo Suzuki

The asymptotic (non)equivalence of canonical and microcanonical ensembles, describing systems with soft and hard constraints respectively, is a central concept in statistical physics. Traditionally, the breakdown of ensemble equivalence…

Statistical Mechanics · Physics 2023-05-25 Qi Zhang , Diego Garlaschelli

The structural stability, electronic structure, and bonding characteristics of the silver-doped boron cluster B18Ag2 were investigated using density functional theory (DFT) combined with global optimization techniques. Basin-hopping…

Materials Science · Physics 2026-04-29 Peter Ludwig Rodríguez-Kessler

Given the growing significance of 2D materials in various optoelectronic applications, it is imperative to have simulation tools that can accurately and efficiently describe electron correlation effects in these systems. Here, we show that…

Strongly Correlated Electrons · Physics 2023-08-14 Oinam Romesh Meitei , Troy Van Voorhis

The electron density of a molecule or material has recently received major attention as a target quantity of machine-learning models. A natural choice to construct a model that yields transferable and linear-scaling predictions is to…

Chemical Physics · Physics 2022-06-29 Andrea Grisafi , Alan M. Lewis , Mariana Rossi , Michele Ceriotti

First principles based DFT calculations performed to insight structural and electronic properties of Boron doped Magnesium atom decorated graphene sheet for application of hydrogen storage. The four H2 molecules stably binds magnesium atom…

Materials Science · Physics 2020-03-31 Baliram Lone

Efficient sampling from the Boltzmann distribution given its energy function is a key challenge for modeling complex physical systems such as molecules. Boltzmann Generators address this problem by leveraging continuous normalizing flows to…

Machine Learning · Computer Science 2025-10-17 Rishal Aggarwal , Jacky Chen , Nicholas M. Boffi , David Ryan Koes

The recent discovery of borophene, a two-dimensional allotrope of boron, raises many questions about its structure and its chemical and physical properties. Boron has a high chemical affinity to oxygen but little is known about the…

Materials Science · Physics 2020-02-28 Florian M. Arnold , Gotthard Seifert , Jens Kunstmann

The Boltzmann entropy $S^{(B)}$ is true in the case of equal probability of all microstates of a system. In the opposite case it should be averaged over all microstates that gives rise to the Boltzmann--Shannon entropy (BSE). Maximum…

Statistical Mechanics · Physics 2007-05-23 A. G. Bashkirov