Electric Charges That Behave as Magnetic Monopoles

Umul, Yusuf Ziya

doi:10.2528/pierl10072607

Cited by 4 publications

(5 citation statements)

References 30 publications

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“…the vacancies. Note that these charge carriers are not especially magnetic (neither is it claimed here that the memristive charge carriers are acting as magnetic monopoles, although that comparison has been made [17]). Instead, the charge responsible for the memory function of the memristor is being separated conceptually from the charge due to the conducting electrons.…”

Section: Memory and Conservation Functionsmentioning

confidence: 94%

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The Memory-Conservation Theory of Memristance

Gale

2014

2014 UKSim-AMSS 16th International Conference on Computer Modelling and Simulation

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The memristor, the recently discovered fundamental circuit element, is of great interest for neuromorphic computing, nonlinear electronics and computer memory. It is usually modelled either using Chua's equations, which lack material device properties, or using Strukov's phenomenological model (or models derived from it), which deviates from Chua's definitions due to the lack of a magnetic flux term. It is shown that by modelling the magnetostatics of the memory-holding ionic current (oxygen vacancies in the Strukov memristor), the memristor's magnetic flux can be identified as the flux arising from the ions. This leads to a novel theory of memristance consisting of two components: 1. A memory function which describes how the memristance, as felt by the ions, affects the conducting electrons located in the 'on' part of the device; 2. A conservation function which describes the time-varying resistance in the 'off' part of the device. This model allows for a straight-forward incorporation of the ions within the electronic theory and relates Chua's constitutive definition of a memristor with device material properties for the first time.

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Section: Memory and Conservation Functionsmentioning

confidence: 94%

“…Equation 17 can be considered as three separate parts: 1) U , the universal constants: μ0 4π , this term includes the effects of the permittivity of a vacuum on memristance. It's inclusion in the equation clearly demonstrates that magnetism is involved in memristance.…”

Section: B Calculating the Magnetic Flux Due To Oxygen Vacancy Currentmentioning

confidence: 99%

The Memory-Conservation Theory of Memristance

Gale

2014

2014 UKSim-AMSS 16th International Conference on Computer Modelling and Simulation

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“…In the International System of Units, µ 0 ≡ 4π × 10 −7 NA −2 , and ε 0 the vacuum permittivity. Equations which present compatibilities with (1) and (2) in the main variant with respect to the standard Maxwell equations (i.e., ∇ · B = 0) are found in the analysis of electromagnetic scattering, diffraction and aperture antenna problems [1][2][3], and in memristive media [25].…”

Section: Field Equations With Magnetic Monopolesmentioning

confidence: 99%

Propagation of Electromagnetic Waves in Material Media With Magnetic Monopoles

Costa‐Quintana¹,

López‐Aguilar²

2010

PIER

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Abstract-The objective of this paper is to establish the properties of the electromagnetic wave propagation in a diversity of situations in material media with magnetic monopoles and even in the situations of entities simultaneously containing electric and magnetic charges. This analysis requires the knowledge and solutions of the "Maxwell" equations in material media compatible with the existence of magnetic monopoles and the extended concepts of linear responses (conductivity, split-charge susceptibility, kinetic susceptibility, permittivity and magnetic permeability) in the case of presence of electric and magnetic charges. This analysis can facilitate insights and suggestions for electrical and optical experiments affording a better knowledge of the materials whose behaviour can be analyzed under the consideration of the existence of entities with equivalent properties of the magnetic monopoles.

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“…These equivalent field sources are constituted of superficial electric and magnetic currents located in the closed surface. The consideration of the currents of magnetic charges can be an excellent and effective mathematical procedure for calculating complex electromagnetic problems [16][17][18]. However, these procedures are developed in order to obtain more accuracy in the solutions of the Maxwell equations in very complex electromagnetic systems and do not try to assign independent phenomenology to these magnetic charges and currents.…”

Section: Introductionmentioning

confidence: 99%

“…Other lines of research of magnetic charges and magnetic currents have been developed for the calculation of the fields in the wave scattering of diffraction in the aperture antennas [16], in the studies on the memristors [17] and in the study of equivalent sources in the reconstruction of 3D surfaces [18]. These equivalent field sources are constituted of superficial electric and magnetic currents located in the closed surface.…”

Section: Introductionmentioning

confidence: 99%

Molecular Em Fields and Dynamical Responses in Solids With Magnetic Charges

Costa‐Quintana¹,

López‐Aguilar²

2011

PIER

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Abstract-The monopoles are theoretically defined as charges which produce fields whose divergence is, obviously, different from zero. However, the entities which have been experimentally detected in the spin-ices, with mimetic behavior to that of the magnetic monopoles, generate magneti c fields which seem to be compatible with ∇ · B = 0. This apparent contradiction can create confusion and therefore it requires explanation. In this paper we have carried out an analysis of the different electromagnetic fields in the spinices materials. We clarify the differences between the average fields of standard Maxwell equations with zero divergence even in spin-ices and the non macroscopic fields when there are magnetic monopoles in these materials. We give the molecular or local fields which allow us to determine the molecular polarizability. We combine the extended Clausius-Mossotti equations with the Lorentz-Drude model for obtaining the extended susceptibility and the optical conductivity which can be used for explaining the action of the electromagnetic fields in spin-ices.

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Electric Charges That Behave as Magnetic Monopoles

Cited by 4 publications

References 30 publications

The Memory-Conservation Theory of Memristance

The Memory-Conservation Theory of Memristance

Propagation of Electromagnetic Waves in Material Media With Magnetic Monopoles

Molecular Em Fields and Dynamical Responses in Solids With Magnetic Charges

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