Image charge inclusions in the prolate dielectric spheroid

Redžić, Dragan V; Redžić, S S

doi:10.1088/0022-3727/38/21/025

Cited by 18 publications

(21 citation statements)

References 17 publications

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“…8 Since then the classical Kelvin image theory for a charged sphere was successfully generalized by Lindell 9,10 and extended to dielectric spheres. [11][12][13][14] Many models based on the image charge theory exist today, and these include a variety of boundary conditions suitable for describing some aspects of experiment, [15][16][17] most notably the methods proposed by Ohshima [18][19][20][21][22][23][24] for the interaction between spheres in media of homogeneous dielectric permittivity. However, at close separation image charge methods require increasing numbers of images leading to convergence problems for a series expansion of the electrostatic force.…”

Section: Introductionmentioning

confidence: 99%

Electrostatic analysis of the interactions between charged particles of dielectric materials

Bichoutskaia¹,

Boatwright²,

Khachatourian³

et al. 2010

The Journal of Chemical Physics

102

193

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An understanding of the electrostatic interactions that exist between charged particles of dielectric materials has applications that span much of chemistry, physics, biology, and engineering. Areas of interest include cloud formation, ink-jet printing, and the stability of emulsions. A general solution to the problem of calculating electrostatic interactions between charged dielectric particles is presented. The solution converges very rapidly for low values of the dielectric constant and is stable up to the point where particles touch. Through applications to unspecified particles with a range of size and charge ratios, the model shows that there exist distinct regions of dielectric space where particles with the same sign of charge are strongly attracted to one another.

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Section: Introductionmentioning

confidence: 99%

Electrostatic analysis of the interactions between charged particles of dielectric materials

Bichoutskaia¹,

Boatwright²,

Khachatourian³

et al. 2010

The Journal of Chemical Physics

102

193

View full text Add to dashboard Cite

show abstract

“…Unfortunately, Van Siclen's original argument is somewhat involved and occasionally erroneous [7]. In this paper, we simplify the argument and show by direct calculation of the sources of the field how the surprising result reported in [6] comes about.…”

Section: Introductionmentioning

confidence: 86%

Image charge inclusion in the dielectric sphere revisited

2012

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Van Siclen (1988 Am. J. Phys. 56 1142) reported a curious property of a dielectric sphere in the field of an external point charge: the field outside the sphere generated by the combination of the original charge exterior and the Kelvin image charge interior to the sphere is independent of the permittivity of the sphere. In this paper, we simplify and correct the original derivation and give a detailed analysis of the sources of the field. We also present various checks for the theory, providing instructive exercises for advanced undergraduates.

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“…Using the dielectric constant reported for CdSe nanoparticles [ 148 ] ϵ / ϵ 0 = 6, one could estimate eV g ≈ 20 meV by assuming the dielectric filling the whole space. For a dielectric sphere surrounded by vacuum mimicking the SET, significantly higher values could be achieved, [ 149,150 ] which would further increase the operating temperature of the device. Nonetheless, here we prefer to make the conservative assumption eV g ≈ 20 meV to account for other possible charge screening effects and/or for a less favorable geometry in a practical realization, for example, with D farther from the SET.…”

Section: Ciss‐mediated Initialization and Readout Of Single Moleculesmentioning

confidence: 99%

Chirality‐Induced Spin Selectivity: An Enabling Technology for Quantum Applications

et al. 2023

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Molecular spins are promising building blocks of future quantum technologies thanks to the unparalleled flexibility provided by chemistry, which allows the design of complex structures targeted for specific applications. However, their weak interaction with external stimuli makes it difficult to access their state at the single‐molecule level, a fundamental tool for their use, for example, in quantum computing and sensing. Here, an innovative solution exploiting the interplay between chirality and magnetism using the chirality‐induced spin selectivity effect on electron transfer processes is foreseen. It is envisioned to use a spin‐to‐charge conversion mechanism that can be realized by connecting a molecular spin qubit to a dyad where an electron donor and an electron acceptor are linked by a chiral bridge. By numerical simulations based on realistic parameters, it is shown that the chirality‐induced spin selectivity effect could enable initialization, manipulation, and single‐spin readout of molecular qubits and qudits even at relatively high temperatures.

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Image charge inclusions in the prolate dielectric spheroid

Cited by 18 publications

References 17 publications

Electrostatic analysis of the interactions between charged particles of dielectric materials

Electrostatic analysis of the interactions between charged particles of dielectric materials

Image charge inclusion in the dielectric sphere revisited

Chirality‐Induced Spin Selectivity: An Enabling Technology for Quantum Applications

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