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Scaling Behavior (scaling + behavior)

Distribution by Scientific Domains
Polymers and Materials Science28%
Physics and Astronomy28%
Mathematics and Statistics28%

Selected Abstracts

Longitudinal Dispersivity Data and Implications for Scaling Behavior

GROUND WATER, Issue 2 2006
Shlomo P. Neuman
No abstract is available for this article. [source]

Core Functionality and Scaling Behavior of Lysine Dendrimers

MACROMOLECULAR RAPID COMMUNICATIONS, Issue 20 2005
Bernd Fritzinger
Abstract Summary: A scaling exponent to describe the dependence of the hydrodynamic radius as a characteristic length of the molecule on the molecular weight, has been determined for low generation dendrimers with a thiacalixarene core and lysine dendrons. The hydrodynamic radius has been calculated from the diffusion coefficient measured by pulsed-field-gradient NMR spectroscopy. Scaling exponents of 2.0 for the lysine monodendron, 2.3 for a dendrimer with a bifunctional core, and 3.9 for a dendrimer with a tetrafunctional core have been determined. For a given structure of the dendrons, the scaling exponent reflects the functionality of the core of the dendrimers. Hydrodynamic radius of lysine dendrons as a function of molar mass. [source]

On the Scaling Behavior of the Force/Extension Relation of a Chain

MACROMOLECULAR THEORY AND SIMULATIONS, Issue 7 2010
Marios K. Kosmas
Abstract Applying an extending force F along the end-to-end vector r of a chain enlarges the initial size ,i , |ri| leading to a final state with ,f larger than ,i. Assuming a power law dependence of the size , , N, of the chain on its length N, at the two different states with different exponents ,i and ,f, a scaling relationship is derived between the measure of the extending force F and the extension , of the chain. The exponent , of the force/extension relation, , , F,, depends on both exponents ,i and ,f of the initial and the final states. A relation between , and the exponents ,i and ,f is derived which permits the explanation of previous results and predicts some more. The scaling behavior is checked with the exactly soluble model of a random walk under a force. [source]

Scaling behavior of plasmon coupling in Au and ReO3 nanoparticles incorporated in polymer matrices

PHYSICA STATUS SOLIDI - RAPID RESEARCH LETTERS, Issue 7 2010
Urmimala Maitra
Abstract Polymer nanocomposites containing different concentrations of Au nanoparticles have been investigated by small angle X-ray scattering and electronic absorption spectroscopy. The variation in the surface plasmon resonance (SPR) band of Au nanoparticles with concentration is described by a scaling law. The variation in the plasmon band of ReO3 nanoparticles embedded in polymers also follows a similar scaling law. Distance dependence of plasmon coupling in polymer composites of metal nanoparticles. (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Modelling suspended carbon nanotube resonators

PHYSICA STATUS SOLIDI (B) BASIC SOLID STATE PHYSICS, Issue 11 2007
M. Poot
Abstract We study the bending mode vibration in suspended carbon nanotubes. Based on the theory of continuum mechanics, we have developed a model for flexural oscillations of suspended nanotubes. A detailed analysis of the electrostatic force, the scaling behavior of the model and the gate tuning is given. The model is used to fit experimental data and to reconstruct the gate dependence of the tension and strain in the nanotube. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

On the estimation of the heavy-tail exponent in time series using the max-spectrum

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, Issue 3 2010
Stilian A. Stoev
Abstract This paper addresses the problem of estimating the tail index , of distributions with heavy, Pareto-type tails for dependent data, that is of interest in the areas of finance, insurance, environmental monitoring and teletraffic analysis. A novel approach based on the max self-similarity scaling behavior of block maxima is introduced. The method exploits the increasing lack of dependence of maxima over large size blocks, which proves useful for time series data. We establish the consistency and asymptotic normality of the proposed max-spectrum estimator for a large class of m -dependent time series, in the regime of intermediate block-maxima. In the regime of large block-maxima, we demonstrate the distributional consistency of the estimator for a broad range of time series models including linear processes. The max-spectrum estimator is a robust and computationally efficient tool, which provides a novel time-scale perspective to the estimation of the tail exponents. Its performance is illustrated over synthetic and real data sets. Copyright © 2009 John Wiley & Sons, Ltd. [source]

Anomalous scaling for three-dimensional Cahn-Hilliard fronts

COMMUNICATIONS ON PURE & APPLIED MATHEMATICS, Issue 8 2005
Timo Korvola
We prove the stability of the one-dimensional kink solution of the Cahn-Hilliard equation under d -dimensional perturbations for d , 3. We also establish a novel scaling behavior of the large-time asymptotics of the solution. The leading asymptotics of the solution is characterized by a length scale proportional to t1/3 instead of the usual t1/2 scaling typical to parabolic problems. © 2004 Wiley Periodicals, Inc. [source]