Potential-Driven Adiabatic Connection in Density Functional Theory [PDF]
As density functional theory conventionally assumes that the density of a chosen model system (e.g., the Kohn-Sham system) is the same as the exact one, one might expect that approximations to the exact density introduce supplementary errors by falsifying the density.
openaire +3 more sources
On Connecting Density Functional Approximations to Theory
Usually, density functional models are considered approximations to density functional theory, However, there is no systematic connection between the two, and this can make us doubt about a linkage. This attitude can be further enforced by the vagueness of the argumentation for using spin densities.
openaire +2 more sources
Functional relations for the density-functional exchange and correlation functionals connecting functionals at three densities [PDF]
5 ...
openaire +2 more sources
Whole brain resting-state analysis reveals decreased functional connectivity in major depression [PDF]
Recently, both increases and decreases in resting-state functional connectivity have been found in major depression. However, these studies only assessed functional connectivity within a specific network or between a few regions of interest, while ...
Andre Aleman +17 more
core +10 more sources
Resting‐state default mode network connectivity in young individuals with Down syndrome
Background Down syndrome (DS) is a chromosomal disorder that causes intellectual disability. Few studies have been conducted on functional connectivity using resting‐state fMRI (functional magnetic resonance imaging) signals or more specifically, on the ...
María Dolores Figueroa‐Jimenez +6 more
doaj +1 more source
Local and global gestalt laws: A neurally based spectral approach [PDF]
A mathematical model of figure-ground articulation is presented, taking into account both local and global gestalt laws. The model is compatible with the functional architecture of the primary visual cortex (V1).
Citti, Giovanna +2 more
core +2 more sources
Connection formulas for thermal density functional theory
The adiabatic connection formula of ground-state density functional theory relates the correlation energy to a coupling-constant integral over a purely potential contribution, and is widely used to understand and improve approximations. The corresponding formula for thermal density functional theory is cast as an integral over temperatures instead ...
Pribram-Jones, Aurora, Burke, Kieron
openaire +3 more sources
Network perspectives on epilepsy using EEG/MEG source connectivity [PDF]
The evolution of EEG/MEG source connectivity is both, a promising, and controversial advance in the characterization of epileptic brain activity. In this narrative review we elucidate the potential of this technology to provide an intuitive view of the ...
Focke, Niels K. +3 more
core +3 more sources
Adiabatic connection in spin-current density functional theory
The spin-current density functional theory (SCDFT), when formulated in a basis of Pauli spinors, provides a proper theoretical framework for the study of materials in an arbitrarily oriented external magnetic field and/or upon inclusion of spin-dependent relativistic effects, such as spin-orbit coupling. The SCDFT is formulated in terms of the particle-
Jacques K. Desmarais +2 more
openaire +3 more sources
Analysis of double-hybrid density functionals along the adiabatic connection [PDF]
We present a graphical analysis of the adiabatic connections underlying double-hybrid density-functional methods that employ second-order perturbation theory. Approximate adiabatic connection formulae relevant to the construction of these functionals are derived and compared directly with those calculated using accurate ab initio methods.
Yann Cornaton +3 more
openaire +2 more sources

