Discrete charge dielectric model of electrostatic energy

@article{LaFave2011DiscreteCD,
  title={Discrete charge dielectric model of electrostatic energy},
  author={Tim LaFave},
  journal={Journal of Electrostatics},
  year={2011},
  volume={69},
  pages={414-418}
}
  • T. LaFave
  • Published 1 October 2011
  • Physics
  • Journal of Electrostatics
View PDF on arXiv
7 Citations
Background Citations
1

Figures from this paper

7 Citations

A uniformly charged circular disk with an anisotropic Coulomb interaction potential
Correspondences between the Classical Electrostatic Thomson Problem and Atomic Electronic Structure
Discrete transformations in the Thomson Problem
Development of a hybrid simulation methodology for circuits composed by MOS and SET transistors
TLDR
The main objective of this research is to develop the modeling methodology of hybrid circuit simulation MOS-SET, which includes the development of models for the single-electron transistor at functional level, and the proposed methodology for hybrid simulation.
Fourier transform method for the electrostatic self-energy of a solid sphere with uniform volume charge density
The problem of a solid sphere with uniform volume charge density is encountered in virtually all undergraduate calculus-based physics textbooks dealing with the topic of electromagnetism. This…
Interaction energy of a pair of identical coplanar uniformly charged nanodisks
We consider a nanosystem consisting of two coplanar uniformly charged nanodisks that are coupled via Coulomb forces. Such a model represents a typical situation encountered in two-dimensional…
Capacitance, the Next of Kin to Chemical Softness and Density of States, an Unexpected Perk of Being the “Middle Child”
The capacitance characterizes abilities of various systems to store energy in the form of energy density of electric field. The spatial distribution of electrons exhibits a nonuniform relationship…

References

SHOWING 1-10 OF 15 REFERENCES
The value of monophasic capacitance of few-electron systems
Capacitance: A property of nanoscale materials based on spatial symmetry of discrete electrons
A new definition of capacitance of few electron systems
Due to the discreteness of electronic charges in a nanoscale system, capacitance is deflned in terms of the total interaction energy of N-electrons conflned in a dielectric sphere. Speciflcally, the…
Capacitive nature of atomic-sized structures.
TLDR
An illustrative example is used to show explicitly the microscopic behavior of thederived capacitance for a finite electron system, and to discuss the tendency of the derived capacitance to limit toward the classical electrostatic capacitance as the system becomes macroscopically large.
Introduction to Electrodynamics
1. Vector Analysis. Vector Algebra. Differential Calculus. Integral Calculus. Curvilinear Coordinates. The Dirac Delta Function. The Theory of Vector Fields. 2. Electrostatics. The Electrostatic…
Foundations of Electromagnetic Theory
1. Vector Analysis. 2. Electrostatistics. 3. Solution of Electrostatic Problems. 4. The Electrostatic Field in Dielectric Media. 5. Microscopic Theory of Dielectrics. 6. Electrostatic Energy. 7.…
Many-electron artificial atoms
Artificial atoms, i.e., systems of excess electrons confined in semiconductor quantum dots, are studied by the unrestricted Hartree-Fock method. We consider a spherical quantum dot embedded in an…
Superlattice to nanoelectronics
Electron and hole addition energies in PbSe quantum dots
We calculate electron and hole addition energies of PbSe quantum dots using a pseudopotential configuration-interaction approach. We find that (i) the addition energies are nearly constant for the…
Classical Electrodynamics
Electrodynamics of Particles and PlasmasBy P. C. Clemmow and J. P. Dougherty. (Addison-Wesley Series in Advanced Physics.) Pp. ix + 457. (Addison-Wesley London, September 1969.) 163s.
...
...