ECE 656 Lecture 31: Balance Equation Approach II

By Mark Lundstrom

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

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Abstract

Outline:
  1. Review of L30
  2. Energy balance equation
  3. Energy flux balance equation
  4. Terminating the hierarchy
  5. Summary

Cite this work

Researchers should cite this work as follows:

  • Mark Lundstrom (2012), "ECE 656 Lecture 31: Balance Equation Approach II," https://nanohub.org/resources/12705.

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Location

EE 115, Purdue University, West Lafayette, IN

Tags

  1. balance equation
  2. Charge Transport
  3. course lecture
  4. moments of the Boltzmann equation
  5. nanoelectronics
  6. nanotransistors
ECE 656 Lecture 31: Balance Equation Approach II
  • ECE-656: Fall 2011 Lecture 31: Balance Equation Approach: II Mark Lundstrom Purdue University West Lafayette, IN USA 1. ECE-656: Fall 2011 Lecture 31… 8.5
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  • outline 2. outline 32.633333333333333
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  • moment of f 3. moment of f 37.5
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  • the continuity equation 4. the continuity equation 81.7
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  • balance equations for physical quantities 5. balance equations for physical… 143.46666666666667
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  • putting it all together 6. putting it all together 234.03333333333333
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  • 0th moment of the BTE 7. 0th moment of the BTE 388.36666666666667
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  • 1st moment of the BTE 8. 1st moment of the BTE 426.7
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  • current equation 9. current equation 566.0333333333333
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  • drift-diffusion equation 10. drift-diffusion equation 625.1
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  • DD equation with temperature gradients 11. DD equation with temperature g… 753.63333333333333
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  • DD equation with temperature gradients (ii) 12. DD equation with temperature g… 876.5333333333333
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  • final current equation 13. final current equation 938.76666666666665
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  • Seebeck coefficient 14. Seebeck coefficient 981.3
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  • recap: moments of the BTE 15. recap: moments of the BTE 1169.1666666666667
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  • terminating the hierarchy 16. terminating the hierarchy 1223.4333333333334
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  • outline 17. outline 1241.7333333333334
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  • 2nd moment of the BTE 18. 2nd moment of the BTE 1248
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  • 2nd moment of the BTE 19. 2nd moment of the BTE 1361.7666666666667
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  • 2nd moment of the BTE 20. 2nd moment of the BTE 1491.8333333333333
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  • recap 21. recap 1516.6666666666667
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  • outline 22. outline 1580.9
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  • energy flux balance equation 23. energy flux balance equation 1674.2666666666667
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  • energy flux balance equation 24. energy flux balance equation 1874.6
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  • outline 25. outline 1916.0333333333333
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  • the four balance equations 26. the four balance equations 1920.9333333333334
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  • terminating at the 1st moment 27. terminating at the 1st moment 1942.0333333333333
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  • terminating at the second moment 28. terminating at the second mome… 1999.8333333333333
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  • approximating the third moment 29. approximating the third moment 2016.8333333333333
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  • the energy flux 30. the energy flux 2132.9333333333334
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  • four balance equations 31. four balance equations 2161.6
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  • outline 32. outline 2225.7
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  • summary 33. summary 2357.4333333333334
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  • unfinished business 34. unfinished business 2444.5333333333333
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  • questions? 35. questions? 2621.4666666666667
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