This viewpoint leads then to a short and physically transparent derivation of the Josephson inequality for critical exponents.doi:10.1016/0550-3213(94)90014-0LeoStodolskyandJacekWosiekNuclear Physics BL. Stodolsky and J. Wosiek, "Exact density of states and its critical behavior", Nuclear ...
In the derivation leading to Eq. (1.102), only one quantum state ne = 1 was considered. Once E > Ee,z(2), as an example, an electron of a given total energy Ee can be found in either ne = 1 or ne = 2 state so that the density of states doubles. The total density of states...
Generalized expressions for the free energy difference between normal and superconducting states are derived for the case of an energy dependent (ED) electronic density of states (EDOS) with normal and paramagnetic impurity scattering included. The derivation starts from the Eliashberg expression for ...
A variety of generalized entropic functionals have been introduced to phenomenologically extend statistical mechanics to specific non-ergodic or strongly interacting systems, both within and outside the realm of physics including spin-like systems9,10,11, cosmic ray energy spectra12, multifractals13, ne...
Using Hirao’s approach for creating RS-functionals, the RS form of a given exchange functional is created by multiplying the standard energy density by a factor that depends on the energy density. The factor is the same for all functionals and the only difference is introduced by the individua...
[e,v] = dpss(length(x),3.5,10); lv = length(v); stem(1:lv,v,"filled") ylim([0 1.2]) title("Proportion of Energy in [-w,w] of k-th Slepian Sequence")Determine the number of Slepian sequences with energy concentrations greater than 99%. Using the selected DPSS sequences, obta...
The Widom-Středa formula provides an insightful connection between the Hall conductivity of a two-dimensional gas σH and the variation of its bulk particle density nbulk in response to the modification of an external magnetic field B. This relation states that, whenever the Fermi energy μF ...
it was later supported by a formal derivation of a continuity equation [6]. Whether the starting point, in order to describe the energy of a system, is an integral or a differential form, depends on the system and the information required. If the energy distribution is required, the differe...
cumulant functional was used for calculating the correlation energy45,46,47. Chai obtained the same cross-entropy term in the derivation of the thermally-assisted-occupation DFT48. Following this rationale, we introduce here a one-parameter approximation to the CASSCF correlation energy in the form ...
Here we suggest that the neo-classical free-energy density is incomplete and propose an alternative derivation that resolves these difficulties. In our approach, we use the molecular–statistical theory to identify appropriate variables. This yields the choice for the microstructural degrees of freedom ...