scholarly journals Smoluchowski equations for linker-mediated irreversible aggregation

Soft Matter ◽  
2020 ◽  
Vol 16 (32) ◽  
pp. 7513-7523
Author(s):  
J. M. Tavares ◽  
G. C. Antunes ◽  
C. S. Dias ◽  
M. M. Telo da Gama ◽  
N. A. M. Araújo
Keyword(s):  
Analytical Solution ◽  
Time Evolution ◽  
Computer Simulations ◽  
Smoluchowski Equation ◽  
Experimental Results ◽  
Smoluchowski Equations ◽  
Irreversible Aggregation

An analytical solution of a generalized Smoluchowski equation for linker-mediated aggregation, validated by computer simulations, describes experimental results for the time evolution of clustering.

An improved spectrophotometric method tests the Einstein–Smoluchowski equation: a revisit and update

2020 ◽  
Vol 22 (38) ◽  
pp. 21784-21792
Author(s):  
Jiangbo (Tim) Zhao ◽  
Cong Qi ◽  
Guangrui Li ◽  
Markus A. Schmidt
Keyword(s):  
Spectrophotometric Method ◽  
Smoluchowski Equation ◽  
Smoluchowski Equations

We develop a highly accessible and accurate spectrophotometric method, and identify shortcomings of the Einstein–Smoluchowski equations in solvent scattering predictions.

scholarly journals Surface Plasmon Singularities

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Gabriel Martínez-Niconoff ◽  
P. Martinez-Vara ◽  
G. Diaz-Gonzalez ◽  
J. Silva-Barranco ◽  
A. Carbajal-Domínguez
Keyword(s):  
Shock Wave ◽  
Boundary Condition ◽  
Electromagnetic Field ◽  
Metal Surface ◽  
Surface Plasmon ◽  
Computer Simulations ◽  
Free Space ◽  
Experimental Results ◽  
Physical Features

With the purpose to compare the physical features of the electromagnetic field, we describe the synthesis of optical singularities propagating in the free space and on a metal surface. In both cases the electromagnetic field has a slit-shaped curve as a boundary condition, and the singularities correspond to a shock wave that is a consequence of the curvature of the slit curve. As prototypes, we generate singularities that correspond to fold and cusped regions. We show that singularities in free space may generate bifurcation effects while plasmon fields do not generate these kinds of effects. Experimental results for free-space propagation are presented and for surface plasmon fields, computer simulations are shown.

Patch antennas utilizing semi-insulating SiC for monolithic integration of the antenna subsystem on a SiC chip

2014 ◽  
Vol 1693 ◽  
Author(s):  
Tutku Karacolak ◽  
Rooban V. K. G. Thirumalai ◽  
Erdem Topsakal ◽  
Yaroslav Koshka
Keyword(s):  
Silicon Carbide ◽  
Computer Simulations ◽  
Return Loss ◽  
Dielectric Substrate ◽  
Experimental Results ◽  
Patch Antennas ◽  
Microstrip Patch Antennas ◽  
Microstrip Patch ◽  
Semiconductor Chip ◽  
Good Agreement

ABSTRACTSemi-insulating (SI) silicon carbide (SiC) was evaluated as a candidate material for dielectric substrate for patch antennas suitable for monolithic antenna integration on a SiC semiconductor chip. Computer simulations of the return loss were conducted to design microstrip patch antennas operating at 10 GHz. The antennas were fabricated using SI 4H-SiC substrates, with Ti-Pt-Au stacks for ground planes and patches. A good agreement between the experimental results and simulation was obtained. The radiation performance of the designed SiC based patch antennas was as good as that normally achieved from antennas fabricated using conventional RF materials such as FR4 and Rogers. The antennas had the gain around 2 dBi at 10 GHz, which is consistent with the conventional antennas of a similar size.

scholarly journals Effects of initial coherence on distinguishability of pure/mixed states and chiral stability in an open chiral system

2014 ◽  
Vol 92 (2) ◽  
pp. 112-118 ◽  
Author(s):  
Heekyung Han ◽  
David M. Wardlaw ◽  
Alexei M. Frolov
Keyword(s):  
Analytical Solution ◽  
Time Evolution ◽  
Mixed States ◽  
Position Measurement ◽  
Decay Interaction ◽  
Initial States ◽  
Chiral Systems ◽  
Chiral System ◽  
Dephasing Rate ◽  
Pure Versus

We examine how initial coherences in open chiral systems affect distinguishability of pure versus mixed states and purity decay. Interaction between a system and an environment is modeled by a continuous position measurement and a two-level approximation is taken for the system. The resultant analytical solution is explored for various parameters, with emphasis on the interplay of initial coherences of the system and dephasing rate in determining the purity decay and differences in the time evolution of pure versus mixed initial states. Implications of the results for several fundamental problems are noted.

Guidelines for Design of Dividing Manifolds With Discharge Uniformly Distributed at Different Positions Along the Device Axis

2019 ◽  
Vol 142 (2) ◽  
Author(s):  
Honggang Yang ◽  
Yi Wang ◽  
Xiaojing Meng ◽  
Dong Li ◽  
Xiaofan Cai
Keyword(s):  
Experimental Data ◽  
Analytical Solution ◽  
Governing Equation ◽  
Analytical Solutions ◽  
Dimensionless Parameter ◽  
Operating Conditions ◽  
Experimental Results ◽  
Practical Operation ◽  
Discharge Distribution

Abstract For practical operation of dividing manifolds, the discharge uniformity is a property generally required. To investigate the dependence of discharge uniformity on the manifold geometry and operating conditions, analytical solution to the governing equation, Bajura's equation, was secured. Furthermore, examples were derived by substituting experimental data into the analytical solutions; the resultant curves of discharge distribution indicated essential agreement between the theoretical and experimental results. For evaluating the property of discharge distribution, a uniformity index, U, was introduced. The calculated results of U showed a well-defined dependence of uniformity on the dimensionless parameter, γ, and a maximum of U presented around 1.44 of γ.

Modeling Complete Dynamic Systems for image Segmenteion

2006 ◽  
pp. 83-112
Author(s):  
Liang Zhao
Keyword(s):  
Nonlinear Dynamics ◽  
Image Segmentation ◽  
Time Evolution ◽  
Computer Simulations ◽  
Dynamic Systems ◽  
Continuous Flow ◽  
Human Perception ◽  
Discrete Maps ◽  
Geometrical Information ◽  
Experimental Findings

Human perception is a complex nonlinear dynamics. Motivated by biological experimental findings, two networks of coupled chaotic elements for image segmentation are introduced in this chapter. In both models, time evolutions of chaotic elements that correspond to the same object in a given image are synchronized with one another, while this synchronized evolution is desynchronized with respect to time evolution of chaotic elements corresponding to other objects in the image. The first model is a continuous flow and the segmentation process incorporates geometrical information of input images; while the second model is a network of discrete maps for pixel clustering, accompanying an adaptive moving mechanism to eliminate pixel ambiguity. Computer simulations on real images are given.

Experimental Results Obtained in a Proactive Maintenance of Industrial Equipment Operating in Lukoil Refinery

2016 ◽  
Vol 14 (11) ◽  
pp. 57-66
Author(s):  
Ionel Rusa ◽  
Cornel Marin
Keyword(s):  
Time Evolution ◽  
Technical Condition ◽  
Experimental Results ◽  
Engineering Practice ◽  
Industrial Equipment ◽  
Repair Costs ◽  
Acoustic Diagnosis ◽  
Catastrophic Damage ◽  
Proactive Maintenance

Abstract In the engineering practice, knowing the technical condition of industrial equipment under operating results shortening of repairs, repairs machinery to smart planning based on the time evolution of bearing wear, detect and correct errors on their installation or repair. This is one of the most important objectives of proactive maintenance; maintenance engineer must follow and monitor the wear of equipment with moving parts to prevent damage and removing them permanently from service, ensuring repair costs as low as possible. The aim of this paper is to present a particular case study on vibro- acoustic diagnosis of equipment and components subject to wear during operation to prevent catastrophic damage, as well as human and material losses.

An Experimental Investigation of the Temperature Field Produced by a Cryosurgical Cannula

1974 ◽  
Vol 96 (3) ◽  
pp. 415-420 ◽  
Author(s):  
T. E. Cooper ◽  
W. K. Petrovic
Keyword(s):  
Experimental Investigation ◽  
Temperature Field ◽  
Liquid Crystals ◽  
Analytical Solution ◽  
Growth Rates ◽  
Experimental Results ◽  
Experimental Uncertainty ◽  
One Dimensional ◽  
Ice Growth

Liquid crystals, a material that exhibits brilliant changes in color over narrow temperature bands, have been successfully used to study the temperature field that is produced by a cryosurgical cannula (cryoprobe). Cryoprobe tip temperatures ranging from −36 to −117 C were used to produce frozen regions in a clear gel. Experimental results compare within experimental uncertainty with results of a one-dimensional analytical solution for predicting ice growth rates.

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