Numerical Simulation of Optical Trap Systems

2007 ◽  
Author(s):  
Radha Muddu ◽  
Steve Wereley
Keyword(s):  
Numerical Simulation ◽  
Diffusion Coefficient ◽  
Time Scales ◽  
Optical Trap ◽  
Current Work ◽  
Exact Match ◽  
Novel Method ◽  
Optically Trapped ◽  
Inertia Forces ◽  
Theoretical Results

The current work deals with numerical simulation of optical trap systems at time scales varying from very small to very large. This analysis is important to understand the effects of different forces acting on the optically trapped particle. The significance of inertia forces are also evaluated at these time scales. A novel method of computing diffusion coefficient from the simulated values is proposed. It has been shown that the computed values of the diffusion coefficient are an exact match to the theoretical results.

STABILITY OF TWO TYPICAL COMPLEX DYNAMICAL NETWORKS

2008 ◽  
Vol 22 (05) ◽  
pp. 553-560 ◽  
Author(s):  
WU-JIE YUAN ◽  
XIAO-SHU LUO ◽  
PIN-QUN JIANG ◽  
BING-HONG WANG ◽  
JIN-QING FANG
Keyword(s):  
Numerical Simulation ◽  
Dissipative System ◽  
Small World ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Scale Free ◽  
Scale Free Networks ◽  
General Complex ◽  
The Stability ◽  
Theoretical Results

When being constructed, complex dynamical networks can lose stability in the sense of Lyapunov (i. s. L.) due to positive feedback. Thus, there is much important worthiness in the theory and applications of complex dynamical networks to study the stability. In this paper, according to dissipative system criteria, we give the stability condition in general complex dynamical networks, especially, in NW small-world and BA scale-free networks. The results of theoretical analysis and numerical simulation show that the stability i. s. L. depends on the maximal connectivity of the network. Finally, we show a numerical example to verify our theoretical results.

Turbulent dispersion in a non-homogeneous field

1999 ◽  
Vol 392 ◽  
pp. 45-71 ◽  
Author(s):  
ILIAS ILIOPOULOS ◽  
THOMAS J. HANRATTY
Keyword(s):  
Numerical Simulation ◽  
Direct Numerical Simulation ◽  
Stochastic Model ◽  
Point Source ◽  
Time Scales ◽  
Langevin Equation ◽  
Turbulent Dispersion ◽  
Homogeneous Field ◽  
Fully Developed Flow ◽  
Good Agreement

Dispersion of fluid particles in non-homogeneous turbulence was studied for fully developed flow in a channel. A point source at a distance of 40 wall units from the wall is considered. Data obtained by carrying out experiments in a direct numerical simulation (DNS) are used to test a stochastic model which utilized a modified Langevin equation. All of the parameters, with the exception of the time scales, are obtained from Eulerian statistics. Good agreement is obtained by making simple assumptions about the spatial variation of the time scales.

Cancelling of Self-Excited Vibrations by Means of Parametric Excitation

1999 ◽  
Author(s):  
Aleš Tondl ◽  
Horst Ecker
Keyword(s):  
Numerical Simulation ◽  
Harmonic Function ◽  
Parametric Excitation ◽  
Exciting Force ◽  
Mass System ◽  
Parameter Variations ◽  
Simulation Parameter ◽  
Top Mass ◽  
Theoretical Results ◽  
Good Agreement

Abstract The possibility of cancelling self-excited vibrations of a mechanical system using parametric excitation is discussed. A two-mass system is considered, with the top mass excited by a flow-generated self-exciting force. The parameter of the connecting stiffness between the base mass and the foundation is a harmonic function of time and represents a parametric excitation. For such a system general conditions for full vibration cancelling are derived and presented. By means of numerical simulation the system is investigated for several sets of parameters. The theoretical results are found to be in very good agreement with the results obtained by simulation. Parameter variations show the extent of the parameter space where significant vibration cancelling can be achieved and illustrate possible applications.

scholarly journals Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Yazhou Tian ◽  
A. A. El-Deeb ◽  
Fanwei Meng
Keyword(s):  
Time Scales ◽  
Qualitative Theory ◽  
Integral Inequalities ◽  
Dynamic Equations ◽  
Fredholm Type ◽  
Explicit Bounds ◽  
Theoretical Results ◽  
Nonlinear Delay

We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions. The obtained results can be utilized to investigate the qualitative theory of nonlinear delay Volterra–Fredholm type dynamic equations. An example is also presented to illustrate the theoretical results.

Three Dimensional Bacteria Concentration by Negative Dielectrophoresis

2013 ◽  
Vol 699 ◽  
pp. 251-256
Author(s):  
T. Hisajima ◽  
L. Mao ◽  
K. Shinzato ◽  
M. Nakano ◽  
J. Suehiro
Keyword(s):  
Escherichia Coli ◽  
Numerical Simulation ◽  
Dielectric Layer ◽  
Parallel Plate ◽  
Three Dimensional ◽  
Three Dimension ◽  
Escherichia Coli Cells ◽  
Opposite Electrode ◽  
Novel Method ◽  
Thin Dielectric Layer

Thispaper reports a novel method to concentrate bacteria in three-dimension by negative dielectrophoretic (n-DEP) force in a microchannel. This was achieved by placing a thin dielectric layer on one of a pair of parallel plate electrodes. The dielectric layer having a home-plate like pentagonal shape, forms a gradient of electric field causing n-DEP. A three-dimensional numerical simulation of bacteria trajectory predicts that bacteria flowing a microchannel were three-dimensionally concentrated beneath the tip of the pentagonal dielectric thin layer. The trajectory and concentration of bacteria under n-DEP force were also experimentally confirmed using Escherichia coli cells. Bacteria moved along edges of the dielectric layer and were pushed to the opposite electrode, resulting in their concentration in three-dimension. The proposed device might be applicable to selective concentration of bacteria depending on their dielectric properties.

scholarly journals The MLE of the Parameters of a Discrete Competitive System Subject to Environmental Noise

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Huili Xiang ◽  
Zhijun Liu
Keyword(s):  
Numerical Simulation ◽  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Likelihood Estimation ◽  
Environmental Noise ◽  
Competitive System ◽  
Theoretical Results

A randomized discrete competitive system is investigated and the maximum likelihood estimation (MLE) of the parameters of the system is obtained. Also, a corresponding numerical simulation is offered to support our theoretical results.

Time Scales of DNAPL Migration in Sandy Aquifers Examined via Numerical Simulation

Ground Water ◽  
2007 ◽  
Vol 45 (2) ◽  
pp. 147-157 ◽  
Author(s):  
Jason I. Gerhard ◽  
TiWee Pang ◽  
Bernard H. Kueper
Keyword(s):  
Numerical Simulation ◽  
Time Scales ◽  
Sandy Aquifers

scholarly journals Effect of Lay-Up on the Sorption Behaviour of Woven Glass-Polyester Composites

1998 ◽  
Vol 7 (6) ◽  
pp. 096369359800700
Author(s):  
R. Elleuch ◽  
A. Chateauminois ◽  
Ch. Bradai ◽  
N. Derbel
Keyword(s):  
Numerical Simulation ◽  
Diffusion Coefficient ◽  
Diffusion Rate ◽  
Stratified Media ◽  
Sorption Behaviour ◽  
Enhanced Diffusion ◽  
Linear Behaviour ◽  
Polyester Composites ◽  
Diffusion Behaviour ◽  
Sorption Curve

The effects of the lay-up on the water diffusion behaviour of hand made woven glass/polyester composites have been investigated by means of sorption experiments and numerical simulation of the diffusion process in a stratified media. Experimental sorption curves exhibited a non linear behaviour during the initial sorption step. On the basis of the numerical simulations, this behaviour was attributed to an enhanced diffusion rate in the superficial matrix layers. These effects were found to affect significantly the measurement of the diffusion coefficient from the sorption curve.

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