Sentence examples for density of modes from inspiring English sources

We argue that the main role is played by the symmetry of the underlying lattice which, in the case we study, is scale free, and to the distortion in the density of modes.

We have provided a rough, analytical explanation of why, in the case in which the density of modes is not uniform, one has to consider a smeared version of the spectral density.

The density of Mode II fatigue cracks near the end of life (N/Nf = 0.97) was greater in the hydrogen-precharged specimen than in the uncharged specimen.

This holds well if there is a high density of optical modes in the plane of the structure with, at the same time, a certain amount of coupling between these modes and the free space outside.

In addition to this, the density of energy modes is, differently from the case of translational invariant graphs, distributed according to a power-law.

The mode volume, V, is defined as the ratio of the total electric field energy density of the mode to the peak energy density [10, 11, 26]: V = 1 max 1 2 ε eff E r → 2 ∫ ∫ ∫ all 1 2 ε eff E r → 2 d 3 r → (1).

As has been mentioned above, the Purcell factor Fp can be used to characterize the efficiency of coupling into the SP mode [11, 12, 22] estimated as the ratio of the effective density of the SP modes ρSP to that of the radiation components ρrad[23].

The effect of the coupling of density modes to those which are not directly observed is examined.

The modal density of the flexural modes for a thick slender cylinder is derived analytically.

At the flat band-edge, the group velocity tends to zero, so that the density of surface plasmon modes is high.

We also analyze the density of vibrational normal modes to further understand the interfacial thermal conductance between different molecular linkers and CNTs.