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Transport Theory and Statistical Physics Volume 27, 1998 - Issue 5-7: Proceedings of the Fifreenth International Conference on Transport Theory—Part II
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Original Articles

Trend to equilibrium of electron gas in a semiconductor according to the Boltzmann equation

A. Majorana Dipartimento di Matematica, Università di Catania, Viale A. Doria 6, 95125, Catania, Italy
Pages 547-571 | Received 08 Aug 1997, Accepted 06 Apr 1998, Published online: 20 Aug 2006

References

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  • Majorana , A. 1991 . Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors . Transport Th. Stat. Phys. , 20 : 261 – 279 .
  • Majorana , A. 1993 . Conservation laws from the Boltzmann equation describing electron-phonon interaction in semiconductors . Transport Th. Stat. Phys , 22 : 81 – 93 .
  • Majorana , A. 1993 . Equilibrium solutions of the non-linear Boltzmann equation for an electron gas in a semiconductor . Nuovo Cimento B , 108 : 871 – S77 .
  • Cercignani , C. 1990 . Equilibrium States and Trend to equilibrium in a Gas According to the Boltzmann Equation . Rendiconti di Matematica, Serie VII , 10 : 77 – 95 .
  • Ferry , D. K. 1982 . “ Fundamental aspects of hot electron phenomena ” . In Handbook on Semiconductors , Edited by: Paul , W. Vol. I , 563 – 597 . NorthHolland Publishing Company .
  • Majorana , A. and Marano , A. 1997 . Space homogeneous solutions to the Cauchy problem for semiconductor Boltzmann equations . SIAM J. Math. Anal , 28 : 1294 – 1308 .
  • Markowich , P. A. and Schmeiser , C. 1995 . Relaxation time approximation for electron-phonon interaction in semiconductors . Math. Mod. and Meth. in Applied Sciences , 5 : 519 – 527 .
  • Gel'fand , I. M. and Shilov , G. E. 1964 . Generalized Functions , Vol. I , New York : Academic Press .
  • Cercignani , C. 1988 . The Boltzmann Equation and its Applications , New York : Springer -Verlag .
  • Chapman , S. and Cowling , T. G. 1970 . Cambridge : The Mathematical Theory of Non-Uniform Gases .
  • Blakemore , J. S. 1987 . Semiconductor Statistics , New York : Dover Publ. .
  • Tomizawa , K. 1993 . Numerical Simulation of Submicron Semiconductors Devices , Boston : Artech House .
  • Abramowitz , M. and Stegun , I. A. 1972 . Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , New York : Dover Publ. .
  • Majorana , A. 1997 . Existence and uniqueness of solutions to a linear transport equation in a metric space . Appl. Math. Lett , 10 : 49 – 53 .

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