Plasma Waves and Thermoelastic Effects in Rotating Semiconductor Layers within the Moore-Gibson-Thompson Model

Document Type : Research Paper

Authors
1 Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
2 Department of Physics, College of Science, University of Bisha, Bisha 61922, Saudi Arabia
3 Department of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan 45142, Kingdom of Saudi Arabia
4 Physics Department, Al-Azhar University, 71524, Asyut, Egypt
5 Department of Basic Science, Faculty of Engineering, Sinai University, Al-Arish, Egypt
Abstract
The present article reports the rotation and plasma waves in a semiconductor thermoelastic medium. The proposed model is investigated for the microelongational layer in the modified Ohm’s law and Moore-Gibson-Thompson heat conduction (M-G-T). The combination of the modified Ohm’s law and M-G-T is an advanced framework for analyzing the behavior of materials obeying the electromagnetic, mechanical, and thermal interactions in the studied media. It is innovative to ensure the plasma waves effect produced from the used semiconductor material. The harmonic wave solution is utilized to derive the qualifier functions of the medium. The results are analyzed and illustrated for two values of rotation and time. Both the rotation and the plasma waves are effective and positively significant in the variation of the field quantity, while the obtained results are in consistent with the previous studies. Silicon is selected for the numerical scheme due to its relevance in manufacturing applications. The development of technologies in semiconducting media is utilized in a wide range of modern engineering applications, including smart materials and manufacturing processes.
Keywords
Subjects

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[1] Eringen, A.C., Linear theory of non-local elasticity and dispersion of plane waves, International Journal of Engineering Science, 10(5), 1972, 425-435.
[2] Eringen, A.C., Theory of thermo-microstretch elastic solids, International Journal of Engineering Science, 28(12), 1990, 1291-1301.
[3] Hilal, M.I.M., Analytical solution of rotation and thermodiffusion of thermoelastic microstretch medium with microtemperatures, Journal of Brazilian Society of Mechanical Sciences and Engineering, 41(10), 2019, 447-458.
[4] Shaw, S., Mukhopadhyay, B., Periodically varying heat source response in a functionally graded microelongated medium, Applied Mathematics and Computation, 218(11), 2012, 6304-6313.
[5] Shaw, S., Mukhopadhyay, B., Moving heat source response in a thermoelastic microelongated solid, Journal of Engineering Physics and Thermophysics, 86, 2013, 716-722.
[6] Ailawalia, P., Sachdeva, S.K., Pathania, D.S., Plane strain deformation in a thermoelastic microelongated solid with internal heat source, International Journal of Applied Mechanics and Engineering, 20(4), 2015, 717-731.
[7] Hilal, M.I.M., Thermodynamic modeling of a laser pulse heating in a rotating microelongated non-local thermoelastic solid due to (G-N) theory, ZAMM-Journal of Applied Mathematics and Mechanics, 102(1), 2022, e2021002.
[8] Hilal, M.I.M., Thermomechanical interactions of rotating thermoelastic magneto-microelongated medium heated by laser and initially stressed via non-local elasticity and GN III, Acta Mechanica, 233(10), 2022, 5183-5197.
[9] Schoenberg, M., Censor, D., Elastic waves in rotating media, Quarterly of Applied of Mathematics, 31, 1973, 115-125.
[10] Hilal, M.I.M., Tantawi, R.S., Othman, M.A., The gravity impact in a rotating micropolar thermoelastic medium with microtemperatures, Journal of Ocean Engineering and Science, 3(4), 2018, 325-333.
[11] Hilal, M.I.M., Tantawi, R.S., Elshazly, I.S., Halouani, B., Ailawalia, P., Lotfy, Kh., Moore- Gibson-Thompson model for thermal and rotational dynamics in micro-elongated semiconductor solids with gravitational field, AIP Advances, 15(3), 2025, 035332-1.
[12] Hilal, M.I.M., Tantawi, R.S., Elshazly, I.S., Bachar, I., Sharma, S., Lotfy, Kh., Thermomechanical waves in magnetized microelongated thermoelastic medium using the Moore-Gibson-Thompson model, AIP Advances, 15(3), 2025, 035343-11.
[13] Hilal, M.I.M., Reflection waves phenomena in a rotating magneto-micropolar thermoelastic medium with temperature dependency and gravity using Green-Naghdi theory, Mechanics Based Design in Structures and Machines, 50(10), 2022, 3441-3451.
[14] Hilal, M.I.M., Photothermal excitation and Thomson impact in a semiconductor microelongated thermoelastic medium with microtemperatures in the gravity, ZAMM-Journal of Applied Mathematics and Mechanics, 102(12), 2022, e202200175.
[15] Lotfy, Kh., El-Bary, A.A., Ismail, E.A., Atef, H.A., Analytical solution of a rotating semi-conductor elastic medium due to a refined heat conduction equation with hydrostatic initial stress, Alexandria Engineering Journal, 59(6), 2020, 4947-4958.
[16] Hilal, M.I.M., Fourier and Laplace transforms in micropolar thermoelastic solid with rotation and Hall current in the case of energy dissipation and thermal shock, Indian Journal of Physics, 94(10), 2020, 1515-1525.
[17] Hilal, M.I.M., Diffusion, rotation and lagging behavior of a thermoelastic micropolar medium with voids and temperature gradient under mechanical pressure, Waves in Random and Complex Media, 34(6), 2021, 5702-5721.
[18] Hilal, M.I.M., Shehata, A., Phase-lag and diffusion in porous thermoelastic micropolar media with initial pressure and rotational forces affected by modified Ohm’s law and gravity, Sinai International Scientific Journal, 1(1), 2024, 58-72.
[19] Gordon, J.P. Leite, R.C.C., Moore, R.S., Porto, S.P.S., Whinnery, J.R., Long-transient effects in lasers with inserted liquid samples, Journal of Applied Physics, 36, 1965, 1-7.
[20] Kreuzer, L.B., Ultralow gas concentration infrared absorption spectroscopy, Journal of Applied Physics, 42, 1971, 2934-2943.
[21] Wachter, E.A., Thundat, T., Micromechanical sensors for chemical and physical measurements, Journal of Applied Physics, 66, 1995, 3662-3667.
[22] Todorovic, D.M., Nikolic, P.M., Bojicic, A.I., Photoacoustic frequency transmission technique: electronic deformation mechanism in semiconductors, Journal of Applied Physics, 85, 1999, 7716-7726.
[23] Song, Y.Q., Todorovic, D.M., Cretin, B., Vairac, P., Study on the generalized thermoelastic vibration of the optically excited semiconducting microcantilevers, International Journal of Solids and Structures, 47(14), 2010, 1871-1875.
[24] Lotfy, Kh., A novel model of photothermal diffusion (PTD) for polymer nano-composite semiconducting of thin circular plate, Physica B: Condensed Matter, 537, 2018, 320-328.
[25] Quintanilla, R., Moore-Gibson-Thompson thermoelasticity, Mathematics and Mechanics of Solids, 24(12), 2019, 4020-4031.
[26] Abouelregal, A.E., Sedighi, H.M., Sofiyev, A.H., Modeling photoexcited carrier interactions in a solid sphere of a semiconductor material based on the photothermal Moore-Gibson-Thompson model, Applied Physics A, 127, 2021, 845.
[27] Abouelregal, A.E., Ahmad, H., Badr, S.K., Elmasry, Y., Yao, S.W., Thermo-viscoelastic behavior in an infinitely thin orthotropic hollow cylinder with variable properties under the non-Fourier MGT thermoelastic model, ZAMM-Journal of Applied Mathematics and Mechanics, 102(1), 2022, e202000344.
[28] Marin, M., Weak Solutions in Elasticity of Dipolar Porous Materials, Mathematical Problems in Engineering, 2008, 158908.
[29] Marin, M., Lagrange identity method for microstretch thermoelastic materials, Journal of Mathematical Analysis and Applications, 363(1), 2010, 275-286.
[30] Marin, M., Abbas, I.A., Kumar, R., Relaxed Saint-Venant principle for thermoelastic micropolar diffusion, Structural Engineering and Mechanics, 51(4), 2014, 651-662.
[31] Kumar, R., Abbas, I.A., Disturbance due to thermomechanical sources in poro-thermoelastic medium, Strength of Materials, 48, 2016, 315-332.
[32] Abbas, A.I., Abdallah, A.N., Alzahrani, F., Spagnuolo, M., Wave propagation in a generalized thermoelastic plate using eigenvalue approach, Journal of Thermal Stresses, 39(1), 2016, 1367-1377.
[33] Lotfy, Kh., El-Bary, A.A., Tantawi, R.S., Effects of variable thermal conductivity of a small semiconductor cavity through the fractional order heat-magneto-photothermal theory, European Physical Journal Plus, 134, 2019, 280.
[34] Marin, M., Hobiny, A., Abbas, I., The effects of fractional time derivatives in porothermoelastic materials using finite element method, Mathematics, 9(14), 2021, 1606.
[35] Tiwari, R., Saeed, A.M., Abouelregal, A.E., Singhal, A., Salem, M.G., Nonlocal thermoelastic waves inside nanobeam resonator subject to various loadings, Mechanics Based Design in Structures and Machines, 52(1), 2022, 1-24.
[36] Marin, M., Seadawy, A., Vlase, S., Chirila, A., On mixed problem in thermoelasticity of type III for Cosserat media, Journal of Taibah University for Sciences, 16(1), 2022, 1264-1274.
[37] Bhatti, M.M., Marin, M., Ellahi, R., Fudulu, I.M., Insight into the dynamics of EMHD hybrid nanofluid (ZnO/CuO-SA) flow through a pipe for geothermal energy applications, Journal of Thermal Analysis and Calorimetry, 148, 2023, 14261-14273.
[38] Yadav, A.K., Carrera, E., Marin, M., Othman, M.I.A., Fudulu, I.M., Reflection of hygrothermal waves in nonlocal theory of coupled thermoelasticity, Mechanics of Advanced Materials and Structures, 31(5), 2024, 1083-1096.
[39] Hilal, M.I.M., Dynamical interactions of the magnetic field in a binary mixture of interacting thermoelastic solids, Journal of Thermal Stresses, 47(8), 2024, 977-991.
[40] Abouelregal, A.E., Ahmad, H., Elagan, S.K., Alshehri, N.A., Modified Moore-Gibson-Thompson photo-thermoelastic model for a rotating semiconductor half-space subjected to a magnetic field, International Journal of Modern Physics C, 32(12), 2021, 2150163.
[41] Abouelregal, A.E., Alesemi, M., Fractional Moore-Gibson-Thompson heat transfer model with nonlocal and nonsingular kernels of a rotating viscoelastic annular cylinder with changeable thermal properties, Plos One, 17(6), 2022, e0269862.
[42] Abouelregal, A.E., Marin, M., Öchsner, A., The influence of a non-local Moore-Gibson-Thompson heat transfer model on an underlying thermoelastic material under the model of memory-dependent derivatives, Continuum Mechanics and Thermodynamics, 35(2), 2023, 545-562.
[43] Abouelregal, A.E., Marin, M., Askar, S.S., Foul, A., Transient thermoelastic response in a semi-infinite medium subjected to a moving heat source: an implementation of the Moore-Gibson-Thompson model with higher-order memory-dependent derivatives, Mechanics of Time-Dependent Materials, 28(3), 2024, 1555-1581.