Calculating the Electrons Distribution Function for Gallium Arsenide at Low Fields by Solving the Boltzmann Transport Equation.
The electron distribution function for gallium arsenide GaAs was calculated by using the Boltzmann transition equation in the central valley , for a range of low fields relative to the threshold field (E0 = 5.95Kv/cm) (0.3-1)E0. To obtain the distribution function, the Boltzmann transport equation w...
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| Format: | Article |
| Language: | Arabic |
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College of Education for Pure Sciences
2023-03-01
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| Series: | مجلة التربية والعلم |
| Subjects: | |
| Online Access: | https://edusj.mosuljournals.com/article_176891_308d25c0ab67895479996e21974155f7.pdf |
| _version_ | 1811161418250059776 |
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| author | Noora Mohammed Jamil Ali Abbas Mohammed Salih Al Agah |
| author_facet | Noora Mohammed Jamil Ali Abbas Mohammed Salih Al Agah |
| author_sort | Noora Mohammed Jamil |
| collection | DOAJ |
| description | The electron distribution function for gallium arsenide GaAs was calculated by using the Boltzmann transition equation in the central valley , for a range of low fields relative to the threshold field (E0 = 5.95Kv/cm) (0.3-1)E0. To obtain the distribution function, the Boltzmann transport equation was solved using a mechanism that combines the analytical and numerical methods. Analytical method involving extension of the Legendre polynomial was used and the effect of polar optical scattering was introduced as the dominant scattering mechanism in this research, as well as the effect of an asymmetric energy band structure with spherical energy surfaces in the central valley. After obtaining a partial differential equation of the second order, it is solved numerically after separation process for the variables using the direct matrix method in energy space by building a mathematical program using MATLAB. In this study, a system with dimensions of 360 × 360 was built, and the rate of change in energy was taken as 0.001.The computational system was tested by applying low electric fields, and the distribution function that was obtained had a Maxwellian distribution at very low fields, and it shifted from the Maxwellian distribution at higher fields close to the threshold field, and the results obtained were agree with previous results. While this system did not give accurate results at the high-electric fields. |
| first_indexed | 2024-04-10T06:13:48Z |
| format | Article |
| id | doaj.art-3ebe5806656f439e9ff4d9a0e4c7bd1b |
| institution | Directory Open Access Journal |
| issn | 1812-125X 2664-2530 |
| language | Arabic |
| last_indexed | 2024-04-10T06:13:48Z |
| publishDate | 2023-03-01 |
| publisher | College of Education for Pure Sciences |
| record_format | Article |
| series | مجلة التربية والعلم |
| spelling | doaj.art-3ebe5806656f439e9ff4d9a0e4c7bd1b2023-03-02T10:05:14ZaraCollege of Education for Pure Sciencesمجلة التربية والعلم1812-125X2664-25302023-03-01321567010.33899/edusj.2023.137643.1313176891Calculating the Electrons Distribution Function for Gallium Arsenide at Low Fields by Solving the Boltzmann Transport Equation.Noora Mohammed Jamil0Ali Abbas Mohammed Salih Al Agah1Nineveh Directorate of Education/ Nineveh, IraqPhysics department, College of Education for Pure Sciences,University of Mosul, Mosul, IraqThe electron distribution function for gallium arsenide GaAs was calculated by using the Boltzmann transition equation in the central valley , for a range of low fields relative to the threshold field (E0 = 5.95Kv/cm) (0.3-1)E0. To obtain the distribution function, the Boltzmann transport equation was solved using a mechanism that combines the analytical and numerical methods. Analytical method involving extension of the Legendre polynomial was used and the effect of polar optical scattering was introduced as the dominant scattering mechanism in this research, as well as the effect of an asymmetric energy band structure with spherical energy surfaces in the central valley. After obtaining a partial differential equation of the second order, it is solved numerically after separation process for the variables using the direct matrix method in energy space by building a mathematical program using MATLAB. In this study, a system with dimensions of 360 × 360 was built, and the rate of change in energy was taken as 0.001.The computational system was tested by applying low electric fields, and the distribution function that was obtained had a Maxwellian distribution at very low fields, and it shifted from the Maxwellian distribution at higher fields close to the threshold field, and the results obtained were agree with previous results. While this system did not give accurate results at the high-electric fields.https://edusj.mosuljournals.com/article_176891_308d25c0ab67895479996e21974155f7.pdfpolar optical scattering,,,،,؛legendre polynomial,,,،,؛transport in gaas |
| spellingShingle | Noora Mohammed Jamil Ali Abbas Mohammed Salih Al Agah Calculating the Electrons Distribution Function for Gallium Arsenide at Low Fields by Solving the Boltzmann Transport Equation. مجلة التربية والعلم polar optical scattering,, ,،,؛legendre polynomial,, ,،,؛transport in gaas |
| title | Calculating the Electrons Distribution Function for Gallium Arsenide at Low Fields by Solving the Boltzmann Transport Equation. |
| title_full | Calculating the Electrons Distribution Function for Gallium Arsenide at Low Fields by Solving the Boltzmann Transport Equation. |
| title_fullStr | Calculating the Electrons Distribution Function for Gallium Arsenide at Low Fields by Solving the Boltzmann Transport Equation. |
| title_full_unstemmed | Calculating the Electrons Distribution Function for Gallium Arsenide at Low Fields by Solving the Boltzmann Transport Equation. |
| title_short | Calculating the Electrons Distribution Function for Gallium Arsenide at Low Fields by Solving the Boltzmann Transport Equation. |
| title_sort | calculating the electrons distribution function for gallium arsenide at low fields by solving the boltzmann transport equation |
| topic | polar optical scattering,, ,،,؛legendre polynomial,, ,،,؛transport in gaas |
| url | https://edusj.mosuljournals.com/article_176891_308d25c0ab67895479996e21974155f7.pdf |
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