arXiv subjects

Ahmad Yousefi

Publications and source records attributed to Ahmad Yousefi.

3 recordsLinked to original sources

arXiv2023

Entropic Density Functional Theory

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 inference produces the variational principle of DFT when information about the expected density of particles is imposed. This process introduces a family of trial density-parametrized density matrices from which the preferred density matrix is found using the method of quantum maximum entropy. As illustrations some known approximation schemes of the theory are discussed.

cond-mat.stat-mech↗

arXiv2021

Entropic Density Functional Theory: Entropic Inference and the Equilibrium State of Inhomogeneous Fluids

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 fluids in thermal equilibrium. It is shown that entropic inference reproduces the variational principle of DFT when information about expected density of particles is imposed. In the classical regime, this process introduces a family of trial density-parametrized probability distributions, and consequently a trial entropy, from which the preferred one is found using the method of Maximum Entropy (MaxEnt). In the quantum regime, similarly, the process involves introduction of a family of trial density-parametrized density matrices, and consequently a trial entropy, from which the preferred density matrix is found using the method of quantum MaxEnt. As illustrations some known approximation schemes of the theory are discussed.

cond-mat.stat-mech↗

arXiv2021

An Entropic Approach To Classical Density Functional Theory

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 information about expected density of particles is imposed. This process introduces an intermediate family of trial density-parametrized probability distributions, and consequently an intermediate entropy, from which the preferred one is found using the method of Maximum Entropy (MaxEnt). As an application, the DFT model for slowly varying density is provided, and its approximation scheme is discussed.

cond-mat.stat-mech↗