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Updated: Jun 23, 2025
05:20
Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
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A fully coupled system of generalized thermoelastic theory for semiconductor medium
H Sherief1, M Naim Anwar2, A Abd El-Latief3
1Department of Mathematics and Computer Sciences, Faculty of Sciences, Alexandria University, Alexandria, Egypt.
Scientific Reports
|June 16, 2024
Summary
This study introduces a new mathematical framework to analyze semiconductor elastic materials under magnetic fields, detailing plasma thermoelastic behavior. The model provides insights into wave interactions and material responses for enhanced semiconductor research.
Area of Science:
- Solid State Physics
- Materials Science
- Mathematical Modeling
Background:
- Semiconductor materials exhibit complex behaviors under external stimuli.
- Understanding plasma, thermal, and elastic wave interactions is crucial for material characterization.
- Existing models may not fully capture the coupled thermoelastic response in magnetic fields.
Purpose of the Study:
- To develop a novel mathematical framework for analyzing semiconductor elastic materials under magnetic fields.
- To derive a fully coupled mathematical model for plasma thermoelastic behavior.
- To apply the model to Danilovskaya's problem for validation.
Main Methods:
- Derivation of a novel, fully coupled mathematical model.
- Application of the Laplace transform for frequency domain analysis.
- Utilization of numerical methods for inverse Laplace transform to obtain physical domain solutions.
Main Results:
- The study successfully derives and applies a new plasma thermoelastic model for semiconductors.
- Numerical solutions are obtained for physical fields including temperature, stress, and carrier density.
- Graphical representations illustrate the behavior of these fields over time and depth.
Conclusions:
- The developed mathematical framework provides a comprehensive approach to studying semiconductor thermoelasticity.
- The model accurately captures the coupled interactions of plasma, thermal, and elastic waves.
- Comparison with existing models validates the efficacy of the new framework.
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