Nearest-neighbor spacing

As for the trough states, a statistical analysis has been earned out for the calculated cone states [12]. The nearest neighbor spacings are calculated by... 

Figure 1. Nearest-neighbor spacing distributions of eigenvalues for a circle (left) and the Bunimovich stadium (right). Taken from Ref. (McDonald and Kaufman, 1979).

Figure 4 Nearest-neighbor spacing distribution P(s) for the free Dirac operator on a 53 x 47 x 43 x 41 lattice compared with a Poisson distribution, e-s.

Figure 5. Nearest-neighbor spacing distribution P(s) for U(l) gauge theory on an 83 x 6 lattice in the confined phase (left) and in the Coulomb phase (right). The theoretical curves are the chUE result, Eq. (14), and the Poisson distribution, -Pp(s) = exp(-s).

In order to investigate the influence of the hyperflne interaction we also analyze the nearest-neighbor spacings obtained with the confine-... 

Figure 8. Histograms of the nearest-neighbor spacing distribution for the nucleon (left plots) and the delta (right plots). The data is for Goldstone-boson exchange and for one-gluon exchange compared to a pure linear confinement potential of the same strength. Curves represent the Poisson and the GOE-Wigner distributions.

The linear variation of r with P [Eq. (2)] can be understood from a simple hard-sphere picture. Once the adsorbed molecules have conformed to the surface, they produce an interlocking configuration like that envisioned by early researchers (Fig. la), but at an atomic scale. The value of a is the effective slope that the surface must be lifted up over this interlocking layer. The main factor that changed t, in the above simulations was the ratio of the characteristic length for wall adsorbate interactions, CTwa, to the nearest-neighbor spacing on the walls, d. As the ratio decreased, adsorbed atoms could penetrate more... 

Table 7. Stracture of the 2D sohd phase of noble gas adlayers in the monolayer coverage regime (0 < 1). Abbreviations used T smface temperature, p 3D eqitilibrium pressure in mbar, ft coverage in monolayer imits, ft coverage in substrate atom units C commensurate phase, HI hexagonal incommensmate phase, SI striped incommensurate phase, UC uniaxially commensurate phase, HOC high-order commensurate phase R denotes the adlayer azimuthal orientation with respect to the substrate smface lattice a, (b) adsorbate nearest neighbor spacings. If not stated otherwise, the stractures were obtained from LEED. (Ad. = adsorbate)...

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