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Dh(r) is the density of the Thomas Fermi kinetic energy for the homogeneous electron gas, which acts as a normalizing multiplier; D r) is interpreted as excess density of the local kinetic energy of electrons (fermions) resulting from repulsion according to the Pauli principle relative to the density of the local kinetic energy of bosons [22].
A comparison of the above features between the frequency-reduced and the true excess density of vibrational states revealed that the spectrum of the latter does not exhibit the anomalous trend of the Boson peak as regards the temperature dependence of its frequency, and further the number of the excess modes decreases with increasing temperature.
Excess density of WMN has also been reported in patients with schizophrenia and autism [ 15– 19], suggesting the possibility that the WMN density may be an indicator of neurodevelopmental disorders beyond epilepsy.
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Excess densities of apoptotic GPT neurons were found in the mantle and marginal zones on E13 and E14 (Pα<0.05) during and shortly after peak total apoptotic density.
Thus, persistent excess density reflected defective growth of the neuropil, not the somatic cellular, tissue compartment.
The similarity between PDCs and turbidity currents is that they are both particulate density currents and as such, the agent of excess density (the particles) is not a conserved quantity (particles can deposit or be entrained).
Turbidity currents are flows driven by suspended sediment of flood-induced turbid river water with excess density.
The resulting electron densities exceed the ones expected due to solar control alone; the D-region part of these excess densities is responsible for the absorption measured by a riometer.
Equilibrium is reached when the upwards force due to the pressure is equal to the weight of the particles arising from the excess of the density of the material of the particles over that of the suspending liquid.
This relates to an excess in vibrational density of states' contribution which is directly connected with the so-called boson peak (BP) observed by neutron or vibrational Raman spectroscopy [10, 11, 14, 18, 20, 21].
The difference curve Δk(T) of k(T) (heating minus cooling) has a complex asymmetric peak when energy is between 1 and 10 meV (Fig. 5) and reproduces the experimental low-temperature boson peak (excess of the density of states based on the Debye prediction).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com