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Entropy/energy stable schemes for evolutionary dispersal models

Journal of Computational Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hailiang Liu, Hui Yu
openaire   +3 more sources

Sheets: Entropy Dissipation, Multiscale Dynamics, Dispersion, and Intercalation

Computing in Science & Engineering, 2008
In this article, a coarse-grained computer simulation for dispersing a layer of platelets in a solvent matrix after a brief introduction of a sheet's unique characteristics is described. Although our model offers a stripped-down description of a sheet and a nanocomposite, the concepts used here can be extended to other systems.
Pandey, Ras B.   +2 more
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Entropy as a Measure of Dispersion

1980
As already mentioned, entropy has been used by many authors as a measure of concentration/decentralization or variation (Theil, 1967, Tribus, 1969, Kunisawa, 1975, Horowitz-Horowitz, 1976, Erlander, 1977g,, Naslund, 1977). Its usefulness as such a measure has not been universally agreed upon (see e. g.
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Extended Dispersion Entropy and Its Multiscale Versions: Methodology and Application

Communications in Nonlinear Science and Numerical Simulation
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Yuxing Li, Yingmin Yi, Xianghong Xue
exaly   +4 more sources

Entropy-induced dispersion of bulk liquids

Journal of Colloid and Interface Science, 1975
Abstract The possibility that two-phase fluid systems will emulsify spontaneously, due to entropy effects, is investigated theoretically. It is discovered that for interfacial tensions below about 2 dynes/cm, such spontaneous dispersions can occur, although with large tensions the dispersed particles are not macroscopic.
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Black Hole Entropy with Modified Dispersion Relations

Communications in Theoretical Physics, 2009
There is much interest in resolving the quantum corrections to Bekenstein–Hawking entropy with a large length scale limit. The leading correction term is given by the logarithm of black hole area with a model-dependent coefficient. Recently the research for quantum gravity implies the emergence of a modification of the energy-momentum dispersion ...
Wang Fu-Jun, Gui Yuan-Xing, Zhang Yu
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Instability and entropy for a class of dispersing billiards

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1998
Summary: The billiard in the exterior of a finite disjoint union \(K\) of strictly convex bodies in \(\mathbb{R}^d\) with smooth boundaries is considered. The existence of global constants \(0
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Maximum entropy analysis of dispersed seismic signals

Geophysics, 1986
Abstract Conventional moving-window analyzers based on Fourier transforms sometimes lack the resolution required to separate each of the modes in a seismic wave-guide. It is possible to enhance the resolution of a moving-window analyzer by using a maximum entropy power spectral estimator to approximate the spectrum of each windowed ...
K. B. Cox, I. M. Mason
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Effective methods for quantifying complexity based on improved ordinal partition networks: Topological dispersion entropy and weighted topological dispersion entropy

Communications in Nonlinear Science and Numerical Simulation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan Zhang   +3 more
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Dispersive graded entropy on computing dynamical complexity

Physica A: Statistical Mechanics and its Applications, 2018
Abstract We propose a phase space based statistical disorder to investigate the dynamical complexity of chaotic models. The statistical disorder is defined by introducing a grade function, inversely maps the mean dispersion of the trajectories in the phase space. We denote the associate entropy by the dispersive graded entropy (DGE).
Mukherjee, Sayan   +2 more
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