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We write equations of motion for density variables that are equivalent to Newtons equations. We then propose a set of trial equations parameterised by two unknown functions to describe the exact equations. These are chosen to best fit the…

Soft Condensed Matter · Physics 2009-11-07 E. Zaccarelli , G. Foffi , P. De Gregorio , F. Sciortino , P. Tartaglia , K. A. Dawson

We propose a generalization of equations of quantum mechanics in the hydrodynamic form by introducing the terms taking into account the diffusion velocity at zero and finite temperatures and the density energy of diffusion pressure of the…

Statistical Mechanics · Physics 2011-12-08 O. N. Golubjeva , A. D. Sukhanov , V. G. Bar'yakhtar

Developing an accurate simulation method for the electrochemical stability of solids, as well as understanding the physics related with its accuracy, is critically important for improving the performance of compounds and predicting the…

Materials Science · Physics 2015-12-31 Liang-Feng Huang , James M. Rondinelli

We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

Materials Science · Physics 2009-11-10 Roi Baer , Daniel Neuhauser

Internal energies, enthalpies, phonon dispersion curves, and superconductivity of atomic metallic hydrogen are calculated. The (standard) use pseudopotentials in density-functional theory are compared with full (Coulomb)-potential…

Materials Science · Physics 2019-12-05 Jin Zhang , Jeffrey M. McMahon

Hydrogen is the most abundant element in the universe, and its properties under conditions of high temperature and pressure are crucial to understand the interior of of large gaseous planets and other astrophysical bodies. At ultra high…

Materials Science · Physics 2013-03-12 Hanyu Liu , E. R. Hernandez , Jun Yan , Yanming Ma

The equilibrium state of a system consisting of a large number of strongly interacting electrons can be characterized by its density operator. This gives a direct access to the ground-state energy or, at finite temperatures, to the free…

Strongly Correlated Electrons · Physics 2012-02-23 Michael Potthoff

We introduce a new computationally efficient and accurate classical density-functional theory for water and apply it to hydration of hard spheres and inert gas atoms. We find good agreement with molecular dynamics simulations for the…

Statistical Mechanics · Physics 2010-01-16 Sahak A. Petrosyan , David Roundy , Jean-Francois Briere , Tomas A. Arias

The fundamental quantity governing the mechanical and thermodynamic properties of a crystalline solid is its electronic charge density. Yet, its direct use for the rapid prediction of materials properties remains challenging due to its high…

Materials Science · Physics 2026-05-11 Kammampati Sai Kumar , Albert Linda , Shubham Kumar Maurya , Somnath Bhowmick

We report the results of first-principles density functional theory calculations of the Young's modulus and other mechanical properties of hydrogen-passivated Si <001> nanowires. The nanowires are taken to have predominantly {100} surfaces,…

Materials Science · Physics 2009-11-13 Byeongchan Lee , Robert E. Rudd

We investigate the influence of gravitational waves on a freely falling hydrogen atom by analyzing the dynamics of the bound electron described by the Dirac equation in the curved spacetime of a gravitational wave. From this, we derive the…

General Relativity and Quantum Cosmology · Physics 2023-10-20 Nontapat Wanwieng , Narupon Chattrapiban , Apimook Watcharangkool

Precise prediction of phase diagrams in molecular dynamics (MD) simulations is challenging due to the simultaneous need for long time scales, large length scales and accurate interatomic potentials. We show that thermodynamic integration…

Materials Science · Physics 2023-06-06 Tanooj Shah , Kamron Fazel , Jie Lian , Liping Huang , Yunfeng Shi , Ravishankar Sundararaman

In this paper the development of a physically consistent phase-field theory of solidification shrinkage is presented. The coarse-grained hydrodynamic equations are derived directly from the N-body Hamiltonian equations in the framework of…

Materials Science · Physics 2020-02-28 Gyula I. Toth , Wenyue Ma

Hydrogen exhibits unusual behaviors at megabar pressures, with consequences for planetary science, condensed matter physics and materials science. Experiments at such extreme conditions are challenging, often resulting in hard-to-interpret…

Materials Science · Physics 2022-01-05 Bingqing Cheng , Guglielmo Mazzola , Michele Ceriotti

We introduce an orbital free electron density functional approximation based on alchemical perturbation theory. Given convergent perturbations of a suitable reference system, the accuracy of popular self-consistent Kohn-Sham density…

Chemical Physics · Physics 2020-05-27 Guido Falk von Rudorff , O. Anatole von Lilienfeld

Including quantum mechanical effects on the dynamics of nuclei in the condensed phase is challenging, because the complexity of exact methods grows exponentially with the number of quantum degrees of freedom. Efforts to circumvent these…

Chemical Physics · Physics 2015-06-23 Mariana Rossi , Hanchao Liu , Francesco Paesani , Joel Bowman , Michele Ceriotti

We have applied path integral simulations, in combination with new ab initio based water potentials, to investigate nuclear quantum effects in liquid water. Because direct ab initio path integral simulations are computationally expensive, a…

Chemical Physics · Physics 2015-04-21 Thomas Spura , Christopher John , Scott Habershon , Thomas D. Kühne

Molecular dynamics is a powerful method for studying the behaviour of materials at high temperature. In practice, however, its effectiveness in representing real systems is limited by the accuracy of the forces, finite size effects,…

Materials Science · Physics 2016-06-14 Graeme J Ackland , Ioan B Magdău

Quantum dots with conduction electrons or holes originating from several bands are considered. We assume the particles are confined in a harmonic potential and assume the electrons (or holes) belonging to different bands to be different…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen M. Koskinen , S. M. Reimann , M. Manninen

One of the most powerful strategies to address properties of real many-body systems is to incorporate data obtained for models, for example, to use data of the homogeneous electron gas in order to build the Local Density Approximation for…

Materials Science · Physics 2026-05-05 Muhammed Hüseyin Güneş , Ayoub Aouina , Vitaly Gorelov , Matteo Gatti , Lucia Reining