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Related papers: The direct correlation function of a crystalline s…

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The van der Waals density functional (vdW-DF) of Dion et al. [Phys. Rev. Lett. 92, 246401 (2004)] is a promising approach for including dispersion in approximate density functional theory exchange-correlation functionals. Indeed, an…

Materials Science · Physics 2013-01-30 Jiří Klimeš , David R. Bowler , Angelos Michaelides

The work function is embedded in the equation describing the relationship between the constant volume and constant pressure heat capacities. The modification of the work function results that the relationship between these quantities must…

Chemical Physics · Physics 2007-05-23 Jozsef Garai

Equilibrium polyethylene crystal structure, cohesive energy, and elastic constants are calculated by density-functional theory applied with a recently proposed density functional (vdW-DF) for general geometries [Phys. Rev. Lett. 92, 246401…

Materials Science · Physics 2009-11-11 Jesper Kleis , Bengt I. Lundqvist , David C. Langreth , Elsebeth Schroder

A two-dimensional crystal of repulsive dipolar particles is studied in the vicinity of its melting transition by using Brownian dynamics computer simulation, dynamical density functional theory and phase-field crystal modelling. A vacancy…

Soft Condensed Matter · Physics 2015-06-12 Sven van Teeffelen , Cristian Vasile Achim , Hartmut Löwen

Another way to evaluate the spectral-correlation properties of thermal fields of solids is suggested. Such a method takes into account detailed structure of the interface transition layer separating one bulk region from those of the vacuum…

Quantum Physics · Physics 2015-06-15 Illarion Dorofeyev

A free-energy functional for a crystal proposed by Singh and Singh (Europhys. Lett. {\bf {88}}, 16005 (2009)) and which contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to…

Soft Condensed Matter · Physics 2015-06-11 Anubha Jaiswal , Swarn L. Singh , Yashwant Singh

Classical density-functional theory provides an efficient alternative to molecular dynamics simulations for understanding the equilibrium properties of inhomogeneous fluids. However, application of density-functional theory to multi-site…

Computational Physics · Physics 2014-02-14 Ravishankar Sundararaman , T. A. Arias

In CFD simulations of two-phase flows, accurate drag force modeling is essential for predicting particle dynamics. However, a generally valid formulation is lacking, as all available drag force correlations have been established for…

Fluid Dynamics · Physics 2023-02-08 Gizem Ozler , Mustafa Demircioglu , Holger Grosshans

Standard approximations for the exchange-correlation functional have been found to give big errors for the linearity condition of fractional charges, leading to delocalization error, and the constancy condition of fractional spins, leading…

Strongly Correlated Electrons · Physics 2009-11-13 Paula Mori-Sanchez , Aron J. Cohen , Weitao Yang

Correlation functions, such as static and dynamic structure factors, offer a versatile approach to analyzing atomic-scale structure and dynamics. By having access to the full dynamics from atomistic simulations, they serve as valuable tools…

In complex crystals close to melting or at finite temperatures, different types of defects are ubiquitous and their role becomes relevant in the mechanical response of these solids. Conventional elasticity theory fails to provide a…

A classical density functional theory is applied to study solvation of solutes in water. An approx- imate form of the excess functional is proposed for water. This functional requires the knowledge of pure solvent direct correlation…

Chemical Physics · Physics 2014-09-01 Guillaume Jeanmairet

The dynamical properties of classical fluids at pico-liter scale attract experimentally and theoretically much attention in the soft-matter and biophysics communities, due to the appearance of the microfluidics, also called 'lab-on-a-chip',…

Statistical Mechanics · Physics 2007-05-23 F. Penna , P. Tarazona

The force-balance equation of time-dependent density-functional theory presents a promising route towards obtaining approximate functionals, however, so far, no practical correlation functionals have been derived this way. In this work,…

Chemical Physics · Physics 2025-04-08 Nicolas Tancogne-Dejean , Markus Penz , Michael Ruggenthaler , Angel Rubio

Density functional theory (DFT) is a powerful theoretical tool widely used in such diverse fields as computational condensed matter physics, atomic physics, and quantum chemistry. DFT establishes that a system of $N$ interacting electrons…

Plasma Physics · Physics 2020-04-29 Giovanni Manfredi

In this paper the relationship between the density functional theory of freezing and phase field modeling is examined. More specifically a connection is made between the correlation functions that enter density functional theory and the…

Materials Science · Physics 2007-05-23 K. R. Elder , Nikolas Provatas , Joel Berry , Peter Stefanovic , Martin Grant

A free-energy functional that contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to investigate the freezing of a system of hard spheres into crystalline and amorphous…

Soft Condensed Matter · Physics 2015-05-27 Swarn Lata Singh , Atul S. Bharadwaj , Yashwant Singh

We discuss an active phase field crystal (PFC) model that describes a mixture of active and passive particles. First, a microscopic derivation from dynamical density functional theory (DDFT) is presented that includes a systematic treatment…

Soft Condensed Matter · Physics 2022-10-26 Michael te Vrugt , Max Philipp Holl , Aron Koch , Raphael Wittkowski , Uwe Thiele

The spectral function of density fluctuations, also known as the dynamic structure factor, of a monatomic cubic crystal with vacancies is derived from the macroscopic equations describing transport in crystalline solids. The resonances of…

Statistical Mechanics · Physics 2025-11-13 Arsene Yerle , Pierre Gaspard , Joel Mabillard

We derive a closed equation for the empirical concentration of colloidal particles in the presence of both hydrodynamic and direct interactions. The ensemble average of our functional Langevin equation reproduces known deterministic Dynamic…

Statistical Mechanics · Physics 2015-06-19 A. Donev , E. Vanden-Eijnden