On spatially-averaged electrokinetics of point charges and Maxwell's equations

Research output: Contribution to journalArticle

1 Citation (Scopus)
20 Downloads (Pure)

Abstract

Maxwell-like field relations which describe spatially-averaged kinematic behaviour of electrons and atomic nuclei (modelled as point charges) are obtained at any prescribed scale using weighting function methodology. Upon appeal to the experimental laws of Coulomb and Biot-Savart, and to dimensional considerations, these relations yield the macroscopic Maxwell equations as they pertain to electrostatics and magnetostatics. Generalisation to classical macroscopic electrodynamics is effected by taking account of signal transmission delay and selection of appropriate retardation potentials. Unlike previous derivations, no appeal is made to the microscopic field relations of Lorentz.
Original languageEnglish
Number of pages35
JournalJournal of Elasticity
Early online date30 Jun 2017
DOIs
Publication statusE-pub ahead of print - 30 Jun 2017

Fingerprint

Magnetostatics
Electrodynamics
Maxwell equations
Electrostatics
Kinematics
Electrons

Keywords

  • macroscopic electrokinetics
  • Maxwell’s equations
  • weighting functions

Cite this

@article{a8ecc7d1bac242a4929420de5133be38,
title = "On spatially-averaged electrokinetics of point charges and Maxwell's equations",
abstract = "Maxwell-like field relations which describe spatially-averaged kinematic behaviour of electrons and atomic nuclei (modelled as point charges) are obtained at any prescribed scale using weighting function methodology. Upon appeal to the experimental laws of Coulomb and Biot-Savart, and to dimensional considerations, these relations yield the macroscopic Maxwell equations as they pertain to electrostatics and magnetostatics. Generalisation to classical macroscopic electrodynamics is effected by taking account of signal transmission delay and selection of appropriate retardation potentials. Unlike previous derivations, no appeal is made to the microscopic field relations of Lorentz.",
keywords = "macroscopic electrokinetics, Maxwell’s equations, weighting functions",
author = "Murdoch, {A. Ian}",
year = "2017",
month = "6",
day = "30",
doi = "10.1007/s10659-017-9647-0",
language = "English",
journal = "Journal of Elasticity",
issn = "0374-3535",

}

TY - JOUR

T1 - On spatially-averaged electrokinetics of point charges and Maxwell's equations

AU - Murdoch, A. Ian

PY - 2017/6/30

Y1 - 2017/6/30

N2 - Maxwell-like field relations which describe spatially-averaged kinematic behaviour of electrons and atomic nuclei (modelled as point charges) are obtained at any prescribed scale using weighting function methodology. Upon appeal to the experimental laws of Coulomb and Biot-Savart, and to dimensional considerations, these relations yield the macroscopic Maxwell equations as they pertain to electrostatics and magnetostatics. Generalisation to classical macroscopic electrodynamics is effected by taking account of signal transmission delay and selection of appropriate retardation potentials. Unlike previous derivations, no appeal is made to the microscopic field relations of Lorentz.

AB - Maxwell-like field relations which describe spatially-averaged kinematic behaviour of electrons and atomic nuclei (modelled as point charges) are obtained at any prescribed scale using weighting function methodology. Upon appeal to the experimental laws of Coulomb and Biot-Savart, and to dimensional considerations, these relations yield the macroscopic Maxwell equations as they pertain to electrostatics and magnetostatics. Generalisation to classical macroscopic electrodynamics is effected by taking account of signal transmission delay and selection of appropriate retardation potentials. Unlike previous derivations, no appeal is made to the microscopic field relations of Lorentz.

KW - macroscopic electrokinetics

KW - Maxwell’s equations

KW - weighting functions

UR - https://link.springer.com/journal/volumesAndIssues/10659

U2 - 10.1007/s10659-017-9647-0

DO - 10.1007/s10659-017-9647-0

M3 - Article

JO - Journal of Elasticity

JF - Journal of Elasticity

SN - 0374-3535

ER -