, the amplitudes enhance to power-law behavior due to the space-time T-duality symmetry in the compact direction. This result is consistent with the coexistence of the linear relations and the softer exponential fall-off behavior of high energy string scattering amplitudes as we pointed out prevously. It is also

, with a probable power law of 5. However, the observations of Andrade and of Hanson, which may apply to the regime of power-law breakdown rather than power-law creep, strongly indicate that deformation is localized at the grain boundaries. If this is the case, existing theories of power-law creep based

Word co-occurrence networks are one of the most common linguistic networks studied in the past and they are known to exhibit several interesting topological characteristics. In this article, we investigate the global topological properties of word co-occurrence networks and, in particular, present a detailed study of their spectrum. Our experiments reveal certain universal trends found across the networks for seven different languages from three different language families, which are neither reported nor explained by any of the previous studies and models of word-cooccurrence networks. We hypothesize that since word co-occurrences are governed by syntactic properties of a language, the network has much constrained topology than that predicted by the previously proposed growth model. A deeper empirical and theoretical investigation into the evolution of these networks further suggests that they have a coreperiphery structure, where the core hardly evolves with time and new words are only attached to the periphery of the network. These properties are fundamental to the nature of word co-occurrence across languages. 1

which depends on the number of people that speak that language. Here we extend the aforementioned model to examine the role of saturation of the fitness on the language dynamics. We found that the dependence of the linguistic diversity on the area after colonization displays a power law regime with a

, and Â. The slope of the power-law regime of the cluster mass is una ected by changes in these three variables; however the characteristic mass of the cluster depends upon Â. We propose new scaling functions that reproduce the  dependence of the characteristic mass found in the simulations.

usually associated with the conventional “five-power-law ” regime. Thus, dislocation climb, rather than the often assumed glide mechanism, may be rate controlling. Power-law breakdown occurs at values of «̇ss/D greater than approximately 109 cm22, consistent with most traditional five-power-law materials

elections with the correct slope, a cutoff for larger number of votes and a plateau for small number of votes. It is found that the small world property of the underlying network is fundamental for the emergence of the power law regime. 1

regimes in turbulent velocity fields which increase the complexity of the phenomena. The spectral analysis shows the existence of two power law regimes in the wavenumber spectra of the horizontal and vertical turbulent velocities. The regime at lower wavenumbers exhibits slopes of -3 which correspond

Large scale molecular dynamics (MD) simulations on two-phase immiscible flows show that associated with the moving contact line, there is a very large 1/x partial-slip region where x denotes the distance from the contact line. This power-law partial-slip region is verified in large-scale adaptive

have been derived. In this paper, asymptotic expansions of these integral forms are used to describe scattering in the power-law regime. These approximations are used to constrain a unified equation for small-angle scattering. A function suitable for data fitting is obtained that describes polymeric