Effects of variable thermal conductivity of a small semiconductor cavity through the fractional order heat-magneto-photothermal theory

Lotfy, Kh.; El-Bary, Alaa A.; Tantawi, Ramadan S.

doi:10.1140/epjp/i2019-12631-1

Cited by 48 publications

(10 citation statements)

References 33 publications

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“…Hobiny and Abbas [15] have studied the photothermal interactions in a two-dimensional semiconductor plane under the GN model. Lotfy et al [16] have discussed the variable thermal conductive effect of a semiconductor medium with cavities under the fractional-order magneto-photothermoelastic theory. Alzahrani and Abbas [17] have investigated the photothermal and elastic interactions in a semiconductor plane under Green and Naghdi type ii (GNii) dissipations.…”

Section: Introductionmentioning

confidence: 99%

The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity

2022

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This article focuses on the study of redial displacement, the carrier density, the conductive and thermodynamic temperatures and the stresses in a semiconductor medium with a spherical hole. This study deals with photo-thermoelastic interactions in a semiconductor material containing a spherical cavity. The new hyperbolic theory of two temperatures with one-time delay is used. The internal surface of the cavity is constrained and the density of carriers is photogenerated by a heat flux at the exponentially decreasing pulse boundaries. The analytical solutions by the eigenvalues approach under the Laplace transformation approaches are used to obtain the solution of the problem and the inversion of the Laplace transformations is performed numerically. Numerical results for semiconductor materials are presented graphically and discussed to show the variations of physical quantities under the present model.

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Section: Introductionmentioning

confidence: 99%

The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity

2022

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“…Abbas et al [8] studied the analytical solution of plasma and thermo-elastic wave photogenerated by a focused laser beam in a semiconducting medium. Lotfy et al [9] investigated the influnces of variable thermal conductivity in semiconductors mediums with cavity under fractional-order magnetophotothermal models. Alzahrani [10] investigated the effects of variable thermal conductivity in semiconductor materiale.…”

Section: Introductionmentioning

confidence: 99%

A Study of Photo-Thermoelastic Wave in Semiconductor Materials With Spherical Holes Using Analytical-numerical Methods

Alzahrani

Abbas

2021

Preprint

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Analytical and numerical solutions are two basic tools in the study of photothermal interaction problems in semiconductor medium. In this paper, we compare the analytical solutions with the numerical solutions for thermal interaction in semiconductor mediums containing spherical cavities. The governing equations are given in the domain of Laplace transforms and the eigenvalues approaches are used to obtained the analytical solution. The numerical solutions are obtained by applying the implicit finite difference method (IFDM). A comparison between the numerical solutions and analytical solution are presented. It is found that the implicit finite difference method (IFDM) is applicable, simple and efficient for such problems.

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“…Abbas et al [9] discussed the hyperbolic two-temperature photothermal interactions in a semi-conductor material with a cylindrical cavity. Lotfy et al [10] investigated the effect of variable thermal conductivity of a semiconducting medium with cavities under the fractional-order magnetophotothermal model. Lotfy et al [11] investigated the response of Thomson and magnitic impact of semiconducor material due to laser pulses under photothermoelastic theory.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Hyperbolic Two-temperatures Model on Waves Propagation in a Semi-conductor Medium Containing Spherical Cavities

Abbas

Hobiny

2021

Preprint

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This article is interested in the study of the carrier density, the redial displacement, the conductive temperature, thermodynamic temperature and the stresses in a semi-conductor material containing a spherical hole. This investigation deals with the photo-thermo-elastic interactions in a semi-conductor medium in the context of the new hyperbolic two-temperatures model with one relaxation time. The Laplace transform technique are used to obtain the problem analytical solution by the eigenvalues methods and the inversions of the Laplace transform were performed numerically. Numerical results for semi-conductor materials are shown graphically and discussed.

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Effects of variable thermal conductivity of a small semiconductor cavity through the fractional order heat-magneto-photothermal theory

Cited by 48 publications

References 33 publications

The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity

The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity

A Study of Photo-Thermoelastic Wave in Semiconductor Materials With Spherical Holes Using Analytical-numerical Methods

The Effect of Hyperbolic Two-temperatures Model on Waves Propagation in a Semi-conductor Medium Containing Spherical Cavities

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