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Classical density functional theory (DFT) is a statistical mechanical theory for calculating the density profiles of the molecules in a liquid. It is widely used, for example. to calculate the density distribution of the molecules in the…

统计力学 · 物理学 2015-07-08 Adam P. Hughes , Uwe Thiele , Andrew J. Archer

Classical density functional theory (DFT) is the primary method for investigations of inhomogeneous fluids in external fields. It requires the excess Helmholtz free energy functional as input to an Euler-Lagrange equation for the one-body…

软凝聚态物质 · 物理学 2026-02-05 S. M. Tschopp , H. Vahid , J. M. Brader

The classical Density Functional Theory (DFT) is introduced as an application of entropic inference for inhomogeneous fluids at thermal equilibrium. It is shown that entropic inference reproduces the variational principle of DFT when…

统计力学 · 物理学 2021-09-14 Ahmad Yousefi , Ariel Caticha

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…

计算物理 · 物理学 2014-02-14 Ravishankar Sundararaman , T. A. Arias

We reexamine results obtained with the recently proposed density functional theory framework based on forces (force-DFT) [Tschopp et al., Phys. Rev. E 106, 014115 (2022)]. We compare inhomogeneous density profiles for hard sphere fluids to…

软凝聚态物质 · 物理学 2024-02-28 Florian Sammüller , Sophie Hermann , Matthias Schmidt

Classical density functional theory (DFT) provides an exact variational framework for determining the equilibrium properties of inhomogeneous fluids. We report a generalization of DFT to treat the non-equilibrium dynamics of classical…

软凝聚态物质 · 物理学 2013-09-06 Matthias Schmidt , Joseph M. Brader

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…

等离子体物理 · 物理学 2020-04-29 Giovanni Manfredi

Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern statistical mechanics. It is an extension of the highly successful method of classical density functional theory (DFT) to nonequilibrium systems.…

软凝聚态物质 · 物理学 2020-12-29 Michael te Vrugt , Hartmut Löwen , Raphael Wittkowski

Density Functional Theory (DFT) is one of the most widely used methods for "ab initio" calculations of the structure of atoms, molecules, crystals, surfaces, and their interactions. Unfortunately, the customary introduction to DFT is often…

物理教育 · 物理学 2010-12-07 Nathan Argaman , Guy Makov

Classical Density Functional Theory (DFT) is a statistical-mechanical framework to analyze fluids, which accounts for nanoscale fluid inhomogeneities and non-local intermolecular interactions. DFT can be applied to a wide range of…

计算工程、金融与科学 · 计算机科学 2017-02-07 Andreas Nold , Benjamin D. Goddard , Peter Yatsyshin , Nikos Savva , Serafim Kalliadasis

Energy functionals serve as the basis for different models and methods in quantum and classical many-particle physics. Arguably, one of the most successful and widely used approaches in material science at both ambient and extreme…

等离子体物理 · 物理学 2024-10-22 Z. Moldabekov , J. Vorberger , T. Dornheim

We develop a classical density functional theory (DFT) for two site associating fluids in spatially uniform external fields which exhibit orientational inhomogeneities. The Helmholtz free energy functional is obtain using Wertheim's…

软凝聚态物质 · 物理学 2015-06-17 B. D. Marshall , W. G. Chapman , M. M. Telo da Gama

Starting from Newton's equations of motion, we derive a dynamical density functional theory (DDFT) applicable to atomic liquids. The theory has the feature that it requires as input the Helmholtz free energy functional from equilibrium…

软凝聚态物质 · 物理学 2007-05-23 A. J. Archer

A system of soft ellipsoid molecules confined between two planar walls is studied using classical Density Functional Theory (DFT). Both the isotropic and nematic phases are considered. The excess free energy is evaluated using two different…

材料科学 · 物理学 2009-11-10 David Cheung , Friederike Schmid

Understanding the properties of warm dense hydrogen is of key importance for the modeling of compact astrophysical objects and to understand and further optimize inertial confinement fusion (ICF) applications. The work horse of warm dense…

A unified formulation of the density functional theory is constructed on the foundations of entropic inference in both the classical and the quantum regimes. The theory is introduced as an application of entropic inference for inhomogeneous…

统计力学 · 物理学 2021-12-20 Ahmad Yousefi

Although the classical density functional theory (DFT) of inhomogeneous fluids was formulated more than four decades ago, its application to broken symmetry phases of molecular systems remained a challenge. Approximate free energy…

统计力学 · 物理学 2026-05-19 Yashwant Singh

Density functional theory (DFT), one of the most widely utilized methods available to computational chemistry, fails to describe systems with statically correlated electrons. To address this shortcoming, in previous work we transformed DFT…

化学物理 · 物理学 2023-01-02 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

A formulation of the density functional theory is constructed on the foundations of entropic inference. The theory is introduced as an application of maximum entropy for inhomogeneous fluids in thermal equilibrium. It is shown that entropic…

统计力学 · 物理学 2023-12-29 Ahmad Yousefi , Ariel Caticha

Classical density functional theory (cDFT) and dynamical density functional theory (DDFT) are modern statistical mechanical theories for modeling many-body colloidal systems at the one-body density level. The theories hinge on knowing the…

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