Model spaces: A survey

2015 ◽  
pp. 197-245 ◽  
Author(s):  
Stephan Garcia ◽  
William Ross
Keyword(s):  
Model Spaces

scholarly journals Multi-orbital Frames Through Model Spaces

2021 ◽  
Vol 15 (1) ◽  
Author(s):  
Carlos Cabrelli ◽  
Ursula Molter ◽  
Daniel Suárez
Keyword(s):  
Model Spaces

Microstructure-Based Simulation of the Dielectric Properties of Polymer-Ceramic Composites for Capacitor Applications

2006 ◽  
Vol 949 ◽  
Author(s):  
Jeffrey P. Calame
Keyword(s):  
Electric Field ◽  
Polymer Matrix ◽  
Matrix Material ◽  
Realistic Model ◽  
Ceramic Composites ◽  
Internal Electric Field ◽  
Large Particles ◽  
Different Types ◽  
Model Spaces ◽  
Electrostatic Modeling

ABSTRACTResearch on the microstructure-based modeling of composite dielectrics for capacitor applications is described. Methods for predicting the composite dielectric permittivity and internal electric field distributions within the microstructure using finite difference quasi-electrostatic modeling are described, along with methods of generating realistic model spaces of particulate microstructures. An existing algorithm for generating random, monosized spheres-in-a-dielectric matrix model spaces is modified to allow the treatment of bimodal composites in which small particles are deliberately segregated into the spaces between large particles. Such composites can have substantially higher total volumetric filling fractions of particles, leading to higher composite permittivity. The variations in permittivity with the filling fractions of bimodal inclusions are studied with the new model, with cases covering three different types of polymer matrix material. The effect of the small particle additions on the electric field statistics within the polymer matrix is also explored.

scholarly journals Volterra Type Integral Operators and Composition Operators on Model Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Tesfa Mengestie
Keyword(s):  
Composition Operators ◽  
Integral Operators ◽  
Volterra Type ◽  
Open Problems ◽  
Type Integral ◽  
Model Spaces

We study some mapping properties of Volterra type integral operators and composition operators on model spaces. We also discuss and give out a couple of interesting open problems in model spaces where any possible solution of the problems can be used to study a number of other operator theoretic related problems in the spaces.

Model Spaces for Compositions of Q - Functions

1998 ◽  
Vol 195 (1) ◽  
pp. 159-170 ◽  
Author(s):  
Michael Kaltenbäck
Keyword(s):  
Model Spaces

FixedJ spectral distributions in large shell model spaces

1982 ◽  
Vol 309 (1) ◽  
pp. 55-64 ◽  
Author(s):  
C. Jacquemin ◽  
G. Auger ◽  
C. Quesne
Keyword(s):  
Shell Model ◽  
Model Spaces ◽  
Large Shell ◽  
Spectral Distributions

scholarly journals Realistic Calculations for Cold Dark Matter Detection Rates

2020 ◽  
Vol 13 ◽  
pp. 283
Author(s):  
T. S. Kosmas ◽  
M. Kortelainen ◽  
J. Suhonen ◽  
J. Toivanen
Keyword(s):  
Dark Matter ◽  
Nuclear Structure ◽  
Large Scale ◽  
Cold Dark Matter ◽  
Scattering Problem ◽  
Realistic Model ◽  
Supersymmetric Particle ◽  
Detection Rates ◽  
Model Spaces ◽  
Event Rates

The scattering of the cold dark matter (CDM) candidate LSP (Lightest Supersymmetric Particle) off nuclei is investigated. We focus on the nuclear-structure aspects of the LSP-nucleus scattering problem and computed the associated event rates as well as the annual modulation signals for the 23Na, 71Ga, 73Ge and 127I CDM detectors by using the nuclear shell model in realistic model spaces and exploiting microscopic effective two-body interactions. Large-scale computations had to be performed in order to achieve convergence of the results. The relevance of the spin-dependent and coherent channels for the event rates is discussed, from both the nuclear structure and the SUSY-model viewpoints.

COVID-19 ORDER PARAMETERS AND ORDER PARAMETER TIME CONSTANTS OF ITALY AND CHINA: A MODELING APPROACH BASED ON SYNERGETICS

2020 ◽  
Vol 28 (03) ◽  
pp. 589-608 ◽  
Author(s):  
T. D. FRANK
Keyword(s):  
Dynamical Systems ◽  
Compartment Model ◽  
Order Parameters ◽  
Unstable State ◽  
Human Populations ◽  
Time Constants ◽  
Systems Perspective ◽  
Infection Dynamics ◽  
Model Spaces ◽  
Systems Framework

From a dynamical systems perspective, COVID-19 infectious disease emerges via an instability in human populations. Accordingly, the human population free of COVID-19 infected individuals is an unstable state and the dynamics away from that unstable state is a bifurcation. Recent research has determined COVID-19 relevant bifurcation parameters for various countries in terms of basic reproduction ratios. However, little is known about the relevant order parameters (synergetics) of COVID-19 bifurcations and the corresponding time constants. Those order parameters describe directions in compartment model spaces in which infection dynamics initially evolves. The corresponding time constants describe the speed of the dynamics along those directions. COVID-19 order parameters and their time constants are derived within a standard SEIR dynamical systems framework and determined explicitly for two published studies on COVID-19 trajectories in Italy and China. The results suggest the existence of certain relationships between order parameters, time constants, and reproduction ratios. However, the examples from Italy and China also suggest that COVID-19 order parameters and time constants in general depend on regional differences and the stage of the local COVID-19 epidemic under consideration. These findings may help to improve the forecasting of COVID-19 outbreaks in new hotspots around the world.

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