650 research outputs found
Correcting the polarization effect in low frequency Dielectric Spectroscopy
We demonstrate a simple and robust methodology for measuring and analyzing
the polarization impedance appearing at interface between electrodes and ionic
solutions, in the frequency range from 1 to Hz. The method assumes no
particular behavior of the electrode polarization impedance and it only makes
use of the fact that the polarization effect dies out with frequency. The
method allows a direct and un-biased measurement of the polarization impedance,
whose behavior with the applied voltages and ionic concentration is
methodically investigated. Furthermore, based on the previous findings, we
propose a protocol for correcting the polarization effect in low frequency
Dielectric Spectroscopy measurements of colloids. This could potentially lead
to the quantitative resolution of the -dispersion regime of live cells
in suspension
Structural vibration attenuation using a fractional order PD controller designed for a fractional order process
Evolutions of helical edge states in disordered HgTe/CdTe quantum wells
We study the evolutions of the nonmagnetic disorder-induced edge states with
the disorder strength in the HgTe/CdTe quantum wells. From the supercell band
structures and wave-functions, it is clearly shown that the conducting helical
edge states, which are responsible for the reported quantized conductance
plateau, appear above a critical disorder strength after a gap-closing phase
transition. These edge states are then found to decline with the increase of
disorder strength in a stepwise pattern due to the finite-width effect, where
the opposite edges couple with each other through the localized states in the
bulk. This is in sharp contrast with the localization of the edge states
themselves if magnetic disorders are doped which breaks the time-reversal
symmetry. The size-independent boundary of the topological phase is obtained by
scaling analysis, and an Anderson transition to an Anderson insulator at even
stronger disorder is identified, in-between of which, a metallic phase is found
to separate the two topologically distinct phases.Comment: 7 pages, 5 figure
On the Green function of linear evolution equations for a region with a boundary
We derive a closed-form expression for the Green function of linear evolution
equations with the Dirichlet boundary condition for an arbitrary region, based
on the singular perturbation approach to boundary problems.Comment: 9 page
Refractive-index sensing with ultra-thin plasmonic nanotubes
We study the refractive-index sensing properties of plasmonic nanotubes with
a dielectric core and ultra-thin metal shell. The few-nm thin metal shell is
described by both the usual Drude model and the nonlocal hydrodynamic model to
investigate the effects of nonlocality. We derive an analytical expression for
the extinction cross section and show how sensing of the refractive index of
the surrounding medium and the figure-of-merit are affected by the shape and
size of the nanotubes. Comparison with other localized surface plasmon
resonance sensors reveals that the nanotube exhibits superior sensitivity and
comparable figure-of-merit
Blockchain-based prosumer incentivization for peak mitigation through temporal aggregation and contextual clustering
Blockchain-based prosumer incentivization for peak mitigation through temporal aggregation and contextual clustering
symmetric non-selfadjoint operators, diagonalizable and non-diagonalizable, with real discrete spectrum
Consider in , , the operator family . \ds
H_0= a^\ast_1a_1+... +a^\ast_da_d+d/2 is the quantum harmonic oscillator with
rational frequencies, a symmetric bounded potential, and a real
coupling constant. We show that if , being an explicitly
determined constant, the spectrum of is real and discrete. Moreover we
show that the operator \ds H(g)=a^\ast_1 a_1+a^\ast_2a_2+ig a^\ast_2a_1 has
real discrete spectrum but is not diagonalizable.Comment: 20 page
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