Based on a new criterion that was proposed to search for the universality of spectroscopic constants for bound ground-state diatomics [R. H. Xie and P. S. Hsu, Phys. Rev. Lett. 96, 243201 (2006)], we have found universal scaling relations between spectroscopic constants of diatomic systems with s-, p-, and d-type valence-shell constituents. Our study suggests a useful empirical approach for the...

A logarithmic scaling for structure functions, in the form Sp ∼ [ln(r/η)] ζp , where η is the Kolmogorov dissipation scale and ζp are the scaling exponents, is suggested for the statistical description of the near-dissipation range for which classical power-law scaling does not apply. From experimental data at moderate Reynolds numbers, it is shown that the logarithmic scaling, deduced from gen...

The necessity to find the global optimum of multiextremal functions arises in many applied problems where finding local solutions is insufficient. One of the desirable properties of global optimization methods is strong homogeneity meaning that a method produces the same sequences of points where the objective function is evaluated independently both of multiplication of the function by a scali...

Using a novel finite size scaling Monte Carlo technique, we calculate the four, six and eight point renormalized coupling constants defined at zero momentum for the three dimensional Ising system. Our values of the six and eight point coupling constants are significantly different from those obtained from other methods.

Image scaling, particularly by powers of two, has previously been shown as implemented efficiently by direct manipulation of coefficients in the frequency domain. Typically, these coefficients are computed via the 8x8 DCT, or other block transforms, for their compressed storage in popular standard formats such as JPEG or MPEG. Many existing implementations of these image scaling algorithms use ...

An allometric framework is used to construct a model for seed plant annual reproductive biomass based on standing leaf, stem and root biomass. According to this model, the scaling of reproduction is governed by numerous taxon-specific scaling exponents and constants that reflect the allometry of vegetative biomass partitioning. Although this allometry cannot be predicted a priori, the model acc...

The anisotropic frustrated three-dimensional (3D) XY model with disorder in the coupling constants is simulated as a model of a point disordered superconductor in an applied magnetic field. A finite size scaling analysis of the helicity modulus gives strong evidence for a finite temperature transition with isotropic scaling and the correlation length exponent nu=1.5+/-0.3, consistent with 3D ga...

Allometric biomass allocation theory predicts that leaf biomass (M L ) scaled isometrically with stem (M S ) and root (M R ) biomass, and thus above-ground biomass (leaf and stem) (M A ) and root (M R ) scaled nearly isometrically with below-ground biomass (root) for tree seedlings across a wide diversity of taxa. Furthermore, prior studies also imply that scaling constant should vary with spec...

Abstract The pure cross-anisotropy is understood as a special scaling of strain (or stress). scaled tensor used an argument in the elastic stiffness compliance). Such anisotropy can be overlaid on top any stiffness, particular one obtained from potential with its own stress-induced anisotropy. This superposition does not violate Second Law. method also applied to other functions like plastic po...