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Showing 1 to 20 of 23 for “"Scaling function"”.
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Scale-Dependent Homogenization and Scaling Laws in Random Polycrystals
… condition. Further, the concept of a scaling function is introduced to establish unifying scaling laws. It turns out that the scaling function depends on a mesoscale (scale of observation relative to grain size) and an appropriate universal anisotropy index quantifying the single …
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Corner Transfer Matrix approach to the Yang-Lee Singularity in the 2D Ising Model
… result is the numerical verification of the scaling function conjecture by Fonseca \& Zamolodchikov in \cite{fonseca2003ising} regarding the structure of the free energy scaling function near the Yang-Lee singularity, as well as proposed logarithmic operators in the Ising free energy at order …
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Corner Transfer Matrix approach to the Yang-Lee Singularity in the 2D Ising Model
… result is the numerical verification of the scaling function conjecture by Fonseca \& Zamolodchikov in \cite{fonseca2003ising} regarding the structure of the free energy scaling function near the Yang-Lee singularity, as well as proposed logarithmic operators in the Ising free energy at order …
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Homogenization and elastic-plastic transitions in random and FGM microstructures
… in these materials and hence we study the scaling from Statistical Volume Element (SVE) to RVE. Using Hill condition, the RVE is achieved when the material response becomes independent of the two boundary conditions (kinematic and static boundary condition) setup on the SVE. Elastic …
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Optimization of Soft Interference Cancellation in DS-CDMA Receivers
… BER is evaluated, and the optimal interference scaling function which minimizes BER is derived. We demonstrate BER performance enhancements by simulating this soft interference cancellation technique in systems under perfect power control and in the near-far situation. We further discuss the …
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The Vulcanization Transition and the Amorphous Solid State It Yields: A Statistical Mechanical Perspective
… fraction of randomly localized particles and the scaling function that describes the statistical distribution of localization lengths. Our investigation of the vulcanization transition beyond the mean-field level, via both a perturbative renormalization group approach and a diagrammatic analysis …
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Application of wavelets in few-body problems.
… into a dense matrix. Wavelets are a class of functions with special properties. Daubachies wavelets are a subset of wavelets defined to have vanishing lower order moments, enabling Daubachies 2 and 3 wavelet bases to exactly represent polynomials of degree up to two. These properties make them …
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Generalisations of graph broadcasts
… introduced by Erwin in [9], involves studying a function f : V (G) → {0, 1, 2, ...} called a broadcast. We say a broadcast is dominating if for each vertex v there exists a vertex u with f(u) ≠ 0 and dG(v, u) ≤ f(u). The cost of a broadcast f is given by ∑v∈V(G) f(v) and we are usually interested …
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Damage Detection and System Identification using a Wavelet Energy Based Approach
… First, the connection coefficients for the scaling function were developed for deriving the responses of the velocity and displacement from the acceleration responses. Next, defining the dominant sets based on the relative energies of the Wavelet Components of the acceleration responses, the …
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Scale-dependent homogenization of elastic-viscoelastic random composites
… random microstructures. The frequency-dependent scaling to RVE is further described through a complex-valued scaling function, which generalizes the concept originally developed for linear elastic random composites. This scaling function is shown to apply for all different phase combinations and …
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Experimental study of tricritical phenomena in the metamagnet ferrous chloride (FeCl₂)
… the first time, to express both CHa and OF as functions of internal magnetic field along different isotherms. Following a detailed description of our experimental system, data are reported which were taken in the vicinity of the tricritical point at Tt=20.6K and in an applied field of Ha = …
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The Nonexistence of Shearlet-Like Scaling Multifunctions that Satisfy Certain Minimally Desirable Properties and Characterizations of the Reproducing Properties of the Integer Lattice Translations of a Countable Collection of Square Integrable Functions
… of a countable collection of square integrable functions forms a Bessel system, a frame, and a Riesz basis.</p> <p>In Chapter 3, we introduce composite wavelet systems and generalize several well-known classical wavelet system results—including those regarding pointwise values of the Fourier …
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Elimination of Edge Effects Using Spline Wavelets Which Maintain a Uniform Two-Scale Relation
… is intended to simplify implementation. Boundary scaling functions with multiple nodes at interval endpoints are rejected, in favor of the classical B-spline scaling function restricted to the interval. This necessitates derivation of revised boundary wavelets. In addition, a direct method of …
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Studies of one-dimensional unimodal maps in the chaotic regime
… depends on the details of the map hλ(x) and the scaling constant α. The thermodynamics and the scaling function of the resulting dynamical system are also discussed. In addition, the total measure of the periodic windows is calculated with results in basic agreement with those obtained previously …
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Higher Order Spectra and Universal Shape Functions in Avalanche Models
Submitted by Meng Tao (mengtao2@illinois.edu) on 2012-10-24T20:30:19Z No. of bitstreams: 1 Mehta_Amit.pdf: 7026482 bytes, checksum: 1444de396ed7dcadf0f35e9a3eec8bae (MD5)
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Scaling of entanglement entropy in some condensed matter systems
The following thesis focuses on the scaling of entanglement entropy in lower dimensions and is divided into three main parts. Chapter 2 studies the thermal reduced density matrices in fermion and spin systems on ladders. Chapter 3 studies the many-body localization phase transition in a …
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Shear Thickening In Dense Bidisperse Suspensions By Dynamic Simulation
… shear thickening by performing a critical scaling analysis on the bidisperse suspensions while also comparing the results to those of nearly monodisperse suspensions. Specifically, we express the suspension rheological properties, such as the viscosity, the second normal stress difference, …
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Multidimensional and High Frequency Heat Flux Reconstruction Applied to Hypersonic Transitional Flows
… response by approximating the system Green's function with the Galerkin method and optimizes the heat flux distribution by fitting the distributed surface temperature data. Coating and glue layers are treated as separate domains for which the Green's function is obtained independently. …
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Fractal and Multifractal Analysis of Runoff Time Series and Stream Networks in Agricultural Watersheds
… other areas. Quantitative description of fractal scaling behavior of runoff and stream network morphometry in agricultural watersheds has not been previously reported. In the present study, fractal and multifractal scaling of daily runoff rate in four experimental agricultural watersheds and their …
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ENHANCEMENT AND RESTORATION OF DUST IMAGES
… the smallest and largest values using the same scaling function in order to preserve the correct contrast. Once this is done, the image is converted into the HSI color model in order to stretch the intensity. The intensity is adjusted to get true colors and illumination. Finally, a color balance …
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