scholarly journals Decay of Entanglement of Correlated Qubits Through Bosonic Fields

2021 ◽  
Vol 6 (1) ◽  
pp. 183-192
Author(s):  
Deniz Türkpençe
Keyword(s):  
Quantum Communication ◽  
Numerical Calculations ◽  
Model Parameters ◽  
Experimental Task ◽  
System Parameters ◽  
Specific Quantum ◽  
Coupling Type

Distribution of entangled parties with the longest time possible is of importance to quantum communication. Therefore, analyzing the decay character of entanglement of correlated qubits in the presence of reservoir effects is of significance to the quantum-based technologies. This study covers the analysis of the temporal entanglement decay of two maximally entangled qubits against different reservoir types and system parameters. It is shown how varying the coupling type of the system to the environment affects the lifetime of entanglement. In the presence of quantum interaction between entangled qubits, it is possible to enlarge the entanglement lifetime depending on the initialization of entanglement.  Model parameters used in the numerical calculations and the results are general enough to be applied in any specific quantum-based experimental task.

Epithelial transport parameters: an analysis of experimental strategies

1983 ◽  
Vol 218 (1212) ◽  
pp. 309-329 ◽  
Keyword(s):  
Experimental Data ◽  
Epithelial Transport ◽  
Flux Ratio ◽  
Model Parameters ◽  
Acta Physiol ◽  
Transport Parameters ◽  
Na Transport ◽  
Experimental Conditions ◽  
System Parameters ◽  
Experimental Strategies

A set of experiments was simulated on a computer version of the Koefoed-Johnsen & Ussing model for high-resistance epithelia. The results obtained were analysed according to procedures commonly applied to the analyses of experimental data and interpreted in terms of the model parameters. Although the computer model encodes a stoichiometry of 3:2 for Na-K exchange through the Na pump, the simulation of published experimental procedures yields different figures in almost every case. We show that E Na as originally defined by Ussing & Zerahn ( Acta physiol. scand . 23, 110-127 (1951)) and as obtained from flux-ratio experiments has different values under different experimental conditions with unchanged system parameters and that it is distinct from E Na measured by other methods. We also show that unless the pump is saturated with internal Na an increase in the rate of pumping cannot cause a substantial increase in the rate of transepithelial Na transport.

Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters

2006 ◽  
Author(s):  
Yichao Guo ◽  
Robert G. Parker
Keyword(s):  
Natural Frequencies ◽  
Planetary Gear ◽  
Lumped Parameter Model ◽  
Model Parameters ◽  
Vibration Modes ◽  
Planetary Gears ◽  
System Parameters ◽  
Modal Properties ◽  
Mass Moment ◽  
Inertia Parameters

This paper studies sensitivity of compound planetary gear natural frequencies and vibration modes to system parameters. Based on a lumped parameter model of general compound planetary gears and their distinctive modal properties [1], the eigensensitivities to inertias and stiffnesses are calculated and expressed in compact formulae. Analysis reveals that eigenvalue sensitivities to stiffness parameters are directly proportional to modal strain energies, and eigenvalue sensitivities to inertia parameters are proportional to modal kinetic energies. Furthermore, the eigenvalue sensitivities to model parameters are determined by inspection of the modal strain and kinetic energy distributions. This provides an effective way to identify those parameters with the greatest impact on tuning certain natural frequencies. The present results, combined with the modal properties of general compound planetary gears, show that rotational modes are independent of translational bearing/shaft stiffnesses and masses of carriers/central gears, translational modes are independent of torsional bearing/shaft stiffnesses and moment of inertias of carriers/central gears, and planet modes are independent of all system parameters of other planet sets, the shaft/bearing stiffness parameters of carriers/rings, and the mass/moment of inertia parameters of carriers/central gears.

Assessment of Workspace Attributes Under Simulated Index Finger Proximal Interphalangeal Arthrodesis

2016 ◽  
Vol 138 (5) ◽  
Author(s):  
Paul G. Arauz ◽  
Sue A. Sisto ◽  
Imin Kao
Keyword(s):  
Index Finger ◽  
Model Parameters ◽  
System Parameters ◽  
System A ◽  
Flexion Extension ◽  
Pip Joint ◽  
Interphalangeal Arthrodesis ◽  
Analysis System ◽  
The Impact ◽  
Proximal Interphalangeal Arthrodesis

This article presented an assessment of quantitative measures of workspace (WS) attributes under simulated proximal interphalangeal (PIP) joint arthrodesis of the index finger. Seven healthy subjects were tested with the PIP joint unconstrained (UC) and constrained to selected angles using a motion analysis system. A model of the constrained finger was developed in order to address the impact of the inclusion of prescribed joint arthrodesis angles on WS attributes. Model parameters were obtained from system identification experiments involving flexion–extension (FE) movements of the UC and constrained finger. The data of experimental FE movements of the constrained finger were used to generate the two-dimensional (2D) WS boundaries and to validate the model. A weighted criterion was formulated to define an optimal constraint angle among several system parameters. Results indicated that a PIP joint immobilization angle of 40–50 deg of flexion maximized the 2D WS. The analysis of the aspect ratio of the 2D WS indicated that the WS was more evenly distributed as the imposed PIP joint constraint angle increased. With the imposed PIP joint constraint angles of 30 deg, 40 deg, 50 deg, and 60 deg of flexion, the normalized maximum distance of fingertip reach was reduced by approximately 3%, 4%, 7%, and 9%, respectively.

The Design of Modeled Cam Systems—Part II: Minimization of Motion Distortion Due to Modeling Errors

1975 ◽  
Vol 97 (4) ◽  
pp. 1181-1189 ◽  
Author(s):  
G. K. Matthew ◽  
D. Tesar
Keyword(s):  
Complex Analysis ◽  
Inertia Force ◽  
Model Parameters ◽  
System Parameters ◽  
Qualitative And Quantitative ◽  
Dynamic Synthesis ◽  
Modeling Errors ◽  
Rules Of Thumb ◽  
Quantitative Results ◽  
Cam Systems

The dynamic synthesis procedures of Part I are reinforced by qualitative and quantitative results from analysis. The principal concern is for the motion distortion which results from off-speed operation and from errors in the model parameters. Elementary direct means for calculating errors due to transient vibrations and inertia force variations are given which eliminate the need for complex analysis procedures. Rules of thumb are developed which enable the designer to choose system parameters to minimize motion distortion and inhibit growth of wear and consequent noise.

A Novel Emergence Model of Public Opinion Based on Small-World Network

2011 ◽  
Vol 474-476 ◽  
pp. 2263-2268 ◽  
Author(s):  
Yu Wu ◽  
Yuan Yao ◽  
Li Wang
Keyword(s):  
Complex System ◽  
Public Opinion ◽  
Small World ◽  
Model Parameters ◽  
Small World Network ◽  
World Model ◽  
System Parameters ◽  
Emergent Computation ◽  
Internet Users ◽  
Simulation Results

From the view of complex networks and emergent computation, a new emergence model of public opinion is built. It is based on small-world model, and takes Internet users as agents. Then the system parameters and realistic interactions in this model are set. Simulation results show that our model can demonstrate the whole evolution process of formed or unformed public opinion. The formation evolution of public opinion is in accordance with the real network of public opinion. We can get all kinds of public opinion forms via setting different model parameters. By comparing with the existing network model, there is an obvious advantage for the interaction rules and forms in our model, and it is realistic and reasonable. As a new model for the complex system, it can be used as one of the objects for studying the network behaviors and emergent computation.

Nonlinear Identification of a Capacitive Dual-Backplate MEMS Microphone

2005 ◽  
Author(s):  
Jian Liu ◽  
David T. Martin ◽  
Karthik Kadirvel ◽  
Toshikazu Nishida ◽  
Mark Sheplak ◽  
...  
Keyword(s):  
Nonlinear System Identification ◽  
Nonlinear Least Squares ◽  
Order System ◽  
Multiple Time Scales ◽  
Model Parameters ◽  
Multiple Time ◽  
Element Analysis ◽  
System Parameters ◽  
Lumped Element ◽  
Mems Microphone

This paper presents the nonlinear system identification of model parameters for a capacitive dual-backplate MEMS microphone. System parameters of the microphone are developed by lumped element modeling (LEM) and a governing nonlinear equation is thereafter obtained with coupled mechanical and electrostatic nonlinearities. The approximate solution for a general damped second order system with both quadratic and cubic nonlinearities and a non-zero external step loading is explored by the multiple time scales method. Then nonlinear finite element analysis (FEA) is performed to verify the accuracy of the lumped stiffnesses of the diaphragm. The microphone is characterized and nonlinear least-squares technique is implemented to identify system parameters from experimental data. Finally uncertainty analysis is performed. The experimentally identified natural frequency and nonlinear stiffness parameter fall into their theoretical ranges for a 95% confidence level respectively.

Modelling of the Heat Flux Density Distribution for Laser Beam Welding

2011 ◽  
Vol 183 ◽  
pp. 241-248 ◽  
Author(s):  
A. Marmołowski ◽  
W. Kiełczyński
Keyword(s):  
Heat Source ◽  
Laser Beam ◽  
Flux Density ◽  
Weld Pool ◽  
Thermal Field ◽  
Laser Beam Welding ◽  
Butt Joint ◽  
Numerical Calculations ◽  
Model Parameters ◽  
Weld Pool Geometry

Great interest of the laser beam welding in industry is a new theoretical task, making planning the welding procedure specification and the quality control of welded joints easier. Estimating and calculating the dimensions of a weld pool and temperature distribution near weld mainly concern heat source modelling. In the presented work calculations of welding pool shape and thermal field for cylindrical-powered-normally model of heat source have been presented. Parameters of the model of heat source and weld pool geometry were determined using analytical-numerical calculations. The results of numerical calculations were compared with the experimental data for butt joint made by CO2 laser beam. Comparable results have been observed. Practical recommendations for assumptions of model parameters - the flux density energy distribution of the heat source in case of calculations of the thermal field in the vicinity of a weld pool are given.

scholarly journals Generalization of the Lighthill problem for the viscous fluid filled tubes with complicated wall rheology

2020 ◽  
pp. 67-70
Author(s):  
N. Kizilova ◽  
I. Maiko
Keyword(s):  
Plane Waves ◽  
Relaxation Times ◽  
Computation Time ◽  
Numerical Calculations ◽  
Wall Material ◽  
Circulation System ◽  
Model Parameters ◽  
Cross Sectional ◽  
Rheological Relation ◽  
Complex Models

A generalization of the Lighthill model of the plane waves propagation along fluid-filled viscoelastic tubes is proposed. The rheological relation of the wall has two relaxation times for strains and stresses. The equations of the generalized model for the averaged pressure, velocity and the cross-sectional area of the tube are obtained. The solution of the equations in the form of the running waves and the dispersion relation are obtained and compared to those for the Lighthill and Shapiro problems, and the viscoelastic Kelvin-Voigt model for the wall material. Numerical calculations for the model parameters corresponded to human circulation system have been carried out. It is shown, the complicated properties of the material allow accounting for both Young and Lame wave modes, and stabilization the modes that were unstable in the case of simpler rheology. The developed model is helpful in performing the numerical calculations on complex models of arterial vasculatures at lower computation time and resources.

Parameter Estimation for Systems With Randomly Missing Output Under Network Environment

2008 ◽  
Author(s):  
Yang Shi ◽  
Huazhen Fang
Keyword(s):  
Parameter Estimation ◽  
Kalman Filter ◽  
Packet Loss ◽  
Time Delays ◽  
Model Parameters ◽  
Network Environment ◽  
System Parameters ◽  
Data Missing ◽  
Simulation Results ◽  
Estimate System

In this paper, we study how to identify the model parameters of a plant with randomly missing output in a network environment. As a result of networked-induced time delays and packet loss, the identification is inevitable to be affected by data missing. We propose to online estimate the missing output measurements, and employ the Kalman filter to estimate system parameters recursively. Convergence analysis on parameter estimation and output estimation is carried out. Simulation results verify the effectiveness of the proposed algorithm.

scholarly journals Robust Autoregression with Exogenous Input Model for System Identification and Predicting

Electronics ◽  
2021 ◽  
Vol 10 (6) ◽  
pp. 755
Author(s):  
Jiaxin Xie ◽  
Cunbo Li ◽  
Ning Li ◽  
Peiyang Li ◽  
Xurui Wang ◽  
...  
Keyword(s):  
System Identification ◽  
Model Fitting ◽  
Model Parameters ◽  
System Parameters ◽  
Arterial Blood ◽  
L2 Norm ◽  
Norm Space ◽  
Input Model ◽  
Dynamic Relationships ◽  
Electroencephalogram Eeg

Autoregression with exogenous input (ARX) is a widely used model to estimate the dynamic relationships between neurophysiological signals and other physiological parameters. Nevertheless, biological signals, such as electroencephalogram (EEG), arterial blood pressure (ABP), and intracranial pressure (ICP), are inevitably contaminated by unexpected artifacts, which may distort the parameter estimation due to the use of the L2 norm structure. In this paper, we defined the ARX in the Lp (p ≤ 1) norm space with the aim of resisting outlier influence and designed a feasible iteration procedure to estimate model parameters. A quantitative evaluation with various outlier conditions demonstrated that the proposed method could estimate ARX parameters more robustly than conventional methods. Testing with the resting-state EEG with ocular artifacts demonstrated that the proposed method could predict missing data with less influence from the artifacts. In addition, the results on ICP and ABP data further verified its efficiency for model fitting and system identification. The proposed Lp-ARX may help capture system parameters reliably with various input and output signals that are contaminated with artifacts.

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