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The relaxation time constants of both τ and the parameter β have been calculated, which indicated that the order of relaxation rate of free volume characterized by τ−1 measured by PALS was the same as the enthalpy relaxation rate characterized by ∂ΔH/∂(log t) measured by DSC.
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When ω ≈ τ-1, frequency is of the order of the relaxation rate and energy dissipation occur.
Also the order of thermal relaxation time for GaP nanowires is found in picoseconds, which justifies their hexagonal structure.
This is because the literature has only insights on the basic processes of thermo-elastic damping, but there is no effective theory that is capable of reducing the loss around the Debye peak (where resonator frequency is on the order of the relaxation rate) [7].
In the process, we find a parallel between the range of volumes, relative to the total excess volume, that are explored in the first few orders of magnitude of relaxation time increase, and the range of amorphous state inherent structure energies, relative to the total range, that are explored in ergodic computer simulations, which also cover only this limited range of relaxation time change.
This point is reflected in LF-NMR data from our 2012 study on water availability in high dry matter lignocellulose conversion processes [ 11], which shows near order of magnitude faster relaxation times for similar concentrations of oat spelt xylan compared to monomer xylose.
"They see it as a place of order and of invitation and of relaxation".
In the same way that when you go into a nightclub, and hear fast music and see strobed lights, this produces an excited state in your brain, this device produces the patterns your brain needs in order to produce deep states of relaxation".
The latter is the most important and novel element of HD models which allows to justifiably apply them to Gunn diodes working at very high frequencies (of the order of the carrier energy relaxation rates).
In other words, Δtp has to be larger (or at least of the same order of magnitude) than the relaxation time τ = α−1 appearing in Eq. (5). Figure 5 shows two typical noisy realizations of the temporal evolution of a particular xn(t) as a function of time, for two different choices of τ and Δtp: One for Δtp = 2.5 and τ = 1 (black curve), and the other for Δtp = 2.5 and τ = 1/20 (red curve).
Variations in distribution shape of less than an order of magnitude on the relaxation time axes are therefore considered to be determined by the signal quality and not the sample.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com