scholarly journals Cloaking using complementary media in the quasistatic regime

2016 ◽  
Vol 33 (6) ◽  
pp. 1509-1518 ◽  
Author(s):  
Hoai-Minh Nguyen
Keyword(s):  
Quasistatic Regime

scholarly journals Morphological evolution of microscopic dewetting droplets with slip

2017 ◽  
Vol 828 ◽  
pp. 271-288 ◽  
Author(s):  
Tak Shing Chan ◽  
Joshua D. McGraw ◽  
Thomas Salez ◽  
Ralf Seemann ◽  
Martin Brinkmann
Keyword(s):  
Slip Length ◽  
Morphological Evolution ◽  
Early Time ◽  
Slip Boundary Condition ◽  
Similarity Solutions ◽  
Contact Angles ◽  
Equilibrium Contact Angle ◽  
Navier Slip ◽  
Slip Boundary ◽  
Quasistatic Regime

We investigate the dewetting of a droplet on a smooth horizontal solid surface for different slip lengths and equilibrium contact angles. Specifically, we solve for the axisymmetric Stokes flow using the boundary element method with (i) the Navier-slip boundary condition at the solid/liquid boundary and (ii) a time-independent equilibrium contact angle at the contact line. When decreasing the rescaled slip length $\tilde{b}$ with respect to the initial central height of the droplet, the typical non-sphericity of a droplet first increases, reaches a maximum at a characteristic rescaled slip length $\tilde{b}_{m}\approx O(0.1{-}1)$ and then decreases. Regarding different equilibrium contact angles, two universal rescalings are proposed to describe the behaviour of the non-sphericity for rescaled slip lengths larger or smaller than $\tilde{b}_{m}$. Around $\tilde{b}_{m}$, the early time evolution of the profiles at the rim can be described by similarity solutions. The results are explained in terms of the structure of the flow field governed by different dissipation channels: elongational flows for $\tilde{b}\gg \tilde{b}_{m}$, friction at the substrate for $\tilde{b}\approx \tilde{b}_{m}$ and shear flows for $\tilde{b}\ll \tilde{b}_{m}$. Following the changes between these dominant dissipation mechanisms, our study indicates a crossover to the quasistatic regime when $\tilde{b}$ is many orders of magnitude smaller than $\tilde{b}_{m}$.

A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance

2005 ◽  
Vol 461 (2064) ◽  
pp. 3999-4034 ◽  
Author(s):  
Graeme W Milton ◽  
Nicolae-Alexandru P Nicorovici ◽  
Ross C McPhedran ◽  
Viktor A Podolskiy
Keyword(s):  
Power Dissipation ◽  
Line Source ◽  
Applied Field ◽  
Small Extent ◽  
The Other ◽  
Special Structure ◽  
Rigorous Proof ◽  
Field Magnitude ◽  
Resonant Region ◽  
Quasistatic Regime

Enlarging upon work of Nicorovici, McPhedran & Milton ( Nicorovici et al . 1994 Phys. Rev. B 49 (12), 8479–8482), a rigorous proof is given that in the quasistatic regime a cylindrical superlens can successfully image a dipole line source in the limit as the loss in the lens tends to zero. In this limit it is proved that the field magnitude diverges to infinity in two sometimes overlapping annular anomalously locally resonant regions, one of which extends inside the lens and the other of which extends outside the lens. The wavelength of the oscillations in the locally resonant regimes is set by the geometry and the loss, and goes to zero as the loss goes to zero. If the object or source being imaged responds to an applied field it is argued that it must lie outside the resonant regions to be successfully imaged. If the image is being probed it is argued that the resonant regions created by the probe should not surround the tip of the probe. These conditions taken together make it difficult to directly probe the potential in the near vicinity of the image of a source or object having small extent. The corresponding quasistatic results for the slab lens are also derived. If the source is too close to the slab lens, i.e. lying within the resonant region, then the power dissipation in the lens tends to infinity as the loss goes to zero, which makes the lens impractical for imaging such quasistatic sources. Perfect imaging in a cylindrical superlens is shown to extend to the static equations of magnetoelectricity or thermoelectricity, provided they have a special structure which makes these equations equivalent to the quasistatic equations.

scholarly journals Microcanonical Szilárd engines beyond the quasistatic regime

2017 ◽  
Vol 96 (6) ◽  
Author(s):  
Thiago V. Acconcia ◽  
Marcus V. S. Bonança
Keyword(s):  
Quasistatic Regime

Granular internal dynamics in a silo discharged with a conveyor belt

2021 ◽  
Vol 925 ◽  
Author(s):  
D. Gella ◽  
D. Maza ◽  
I. Zuriguel
Keyword(s):  
Granular Media ◽  
Vertical Direction ◽  
Conveyor Belt ◽  
Coarse Grained ◽  
Vertical Profiles ◽  
Flow Properties ◽  
Internal Dynamics ◽  
Free Discharge ◽  
Quasistatic Regime ◽  
Two Parameters

The dynamics of granular media within a silo in which the grain velocities are controlled by a conveyor belt has been experimentally investigated. To this end, the building of coarse-grained field maps of different magnitudes has allowed a deep analysis of the flow properties as a function of two parameters: the orifice size and the belt velocity. First, the internal dynamics of the particles within the silo has been fully characterized by the solid fraction, the velocity of the particles and the kinetic stress. Then, the analysis of the vertical profiles of the same magnitude (plus the acceleration) has allowed connection of the internal dynamics with the flow rate. In particular, we show that the gamma parameter – which accounts for the integration of the normalized acceleration along the vertical direction – can successfully discriminate the kind of flow established within the silo (from the quasistatic regime to the free discharge) depending on the outlet size and belt velocity.

A procedure for measurement of magnetic characteristics in quasistatic regime

2015 ◽  
Vol 10 (3) ◽  
pp. 31-42 ◽  
Author(s):  
Valentin Pricop ◽  
Elena Helerea ◽  
Gheorghe Scutaru
Keyword(s):  
Magnetic Characteristics ◽  
Quasistatic Regime

Optical Models for the Characterization of Silica Nanosphere Monolayers Prepared by the Langmuir−Blodgett Method Using Ellipsometry in the Quasistatic Regime

Langmuir ◽  
2010 ◽  
Vol 26 (20) ◽  
pp. 16122-16128 ◽  
Author(s):  
Peter Kozma ◽  
Balint Fodor ◽  
Andras Deak ◽  
Peter Petrik
Keyword(s):  
Langmuir Blodgett ◽  
Quasistatic Regime ◽  
Silica Nanosphere
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