The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold pc based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scal...

Various scaling methods such as relative viscosity, Peclet and Reynolds scaling were used to find the best scaling law. Scaling and modeling of the flow curves of various model emulsions consist of Tragacanth Gum (TG) (0.5, 1 % wt), Oleic acid (5, 10% v/v) and WPI (2, 4 % wt) were investigated and the best models were selected. As these emulsions are non-Newtonian, they do not obey the usual...

Scaling law for the Υ(4S) → B ¯ B and ψ(3770) → D ¯ D decay constants from effective sum rules Abstract Sum rules for exclusive production of heavy meson pairs in e + e − annihilation are used to evaluate the Υ(4S) → B ¯ B and ψ(3770) → D ¯ D decay widths. Infinitely heavy quark limit is discussed, so that scaling law for the quarkonium-meson coupling constant is derived. A value of the B ¯ B p...

various scaling methods such as relative viscosity, peclet and reynolds scaling were used to find the best scaling law. scaling and modeling of the flow curves of various model emulsions consist of tragacanth gum (tg) (0.5, 1 % wt), oleic acid (5, 10% v/v) and wpi (2, 4 % wt) were investigated and the best models were selected. as these emulsions are non-newtonian, they do not obey the usual, si...

In this paper, the scaling-law vector calculus, which is related to connection between calculus and scaling law in fractal geometry, addressed based on Leibniz derivative Stieltjes integral for first time. The Gauss-Ostrogradsky-like theorem, Stokes-like Green-like identities are considered sense of calculus. Navier-Stokes-like equations obtained detail. result as a potentially mathematical too...

An expression is proposed for determining the error made by neglecting finite sample effects in entropy estimates. It is based on the Ansatz that the ranked distribution of probabilities tends to follow a Zipf scaling.

This paper studies how the effectiveness of various Dynamic Voltage Scaling mechanisms is affected by technology scaling and system activity. We show that V dd scaling maintains its effectiveness while V th scaling and supply gating become more efficient as the feature size decreases. We also discuss the impact of packaging and provide tools for bringing it early into the design process. In thi...

We give a functional generalization of fractal scaling laws applied to response problems as well as to probability distributions. We consider excitations and responses, which are functions of a given state vector. Based on scaling arguments, we derive a general nonlinear response functional scaling law, which expresses the logarithm of a response at a given state as a superposition of the value...

We study the behaviour of the Standard map critical function in a neighbourhood of a fixed resonance, that is the scaling law at the fixed resonance. We prove that for the fundamental resonance the scaling law is linear. We show numerical evidence that for the other resonances p/q, q ≥ 2, p 6= 0 and p and q relatively prime, the scaling law follows a power–law with exponent 1/q.