ECE 606 L17.4 Transport - Physics of Diffusion – Einstein Relationship

By Gerhard Klimeck

Electrical and Computer Engineering, Purdue University, West Lafayette, IN

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  • Gerhard Klimeck (2023), "ECE 606 L17.4 Transport - Physics of Diffusion – Einstein Relationship," https://nanohub.org/resources/37147.

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  1. diffusion
  2. drift-difussion
  3. ECE606-Klimeck
  4. semiconductor transport
ECE 606 L17.4 Physics of Diffusion – Einstein Relationship
  • Section 17.4 Physics of diffusion - Einstein Relationship 1. Section 17.4 Physics of diffus… 0
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  • Section 17 Intro to Transport – Drift, Mobility, Diffusion, Einstein Relationship 2. Section 17 Intro to Transport … 11.478144811478145
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  • Consider system to be in local equilibrium 3. Consider system to be in local… 24.024024024024026
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  • Now the Diffusion term… 4. Now the Diffusion term… 46.813480146813482
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  • Diffusion Flux … 5. Diffusion Flux … 105.83917250583917
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  • Diffusion Flux … 6. Diffusion Flux … 312.34567901234567
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  • Einstein Relationship … 7. Einstein Relationship … 375.74240907574244
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  • An alternate derivation 8. An alternate derivation 493.92726059392726
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  • Derivation for electron diffusion current 9. Derivation for electron diffus… 558.75875875875874
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  • Derivation continued 10. Derivation continued 591.22455789122455
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  • For holes, we repeat the derivation and find… 11. For holes, we repeat the deriv… 623.95729062395731
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  • For thermally distributed carriers… 12. For thermally distributed carr… 671.07107107107106
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  • Alternate way to obtain the diffusion constants 13. Alternate way to obtain the di… 705.17183850517188
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  • An alternate derivation of Einstein's relationship 14. An alternate derivation of Ein… 754.587921254588
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  • Section 17 Intro to Transport – Drift, Mobility, Diffusion, Einstein Relationship 15. Section 17 Intro to Transport … 965.09843176509844
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