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Volumn 11, Issue 7, 2001, Pages 1253-1272

The high field asymptotics for degenerate semiconductors

Author keywords

Convergence rate; Kinetic equations; Linearization; Maximum principle

Indexed keywords


EID: 0035615621     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202501001252     Document Type: Article
Times cited : (15)

References (19)
  • 1
    • 0011032060 scopus 로고
    • Runaway particles for a Boltzmann-like transport equation
    • L. Arlotti and G. Frosali, Runaway particles for a Boltzmann-like transport equation, Math. Models Methods Appl. Sci. 2 (1992) 203-221.
    • (1992) Math. Models Methods Appl. Sci. , vol.2 , pp. 203-221
    • Arlotti, L.1    Frosali, G.2
  • 2
    • 0030548243 scopus 로고    scopus 로고
    • Extended thermodynamics tested beyond the linear regime: The case of electron transport in silicon semiconductors
    • A. M. Anile and O. Muscato, Extended thermodynamics tested beyond the linear regime: The case of electron transport in silicon semiconductors, Contin. Mech. Thermodyn. 8 (1996) 131-142.
    • (1996) Contin. Mech. Thermodyn. , vol.8 , pp. 131-142
    • Anile, A.M.1    Muscato, O.2
  • 3
    • 0000505779 scopus 로고
    • Improved hydrodynamical model for carrier transport in semiconductors
    • A. M. Anile and O. Muscato, Improved hydrodynamical model for carrier transport in semiconductors, Phys. Rev. B51 (1995) 16728-16740.
    • (1995) Phys. Rev. , vol.B51 , pp. 16728-16740
    • Anile, A.M.1    Muscato, O.2
  • 4
    • 0030537690 scopus 로고    scopus 로고
    • On a hierarchy of macroscopic models for semiconductors
    • N. Ben Abdallah and P. Degond, On a hierarchy of macroscopic models for semiconductors, J. Math. Phys. 37 (1996) 3306-3333.
    • (1996) J. Math. Phys. , vol.37 , pp. 3306-3333
    • Ben Abdallah, N.1    Degond, P.2
  • 5
    • 0030186891 scopus 로고    scopus 로고
    • An energy-transport model for semiconductors derived from the Boltzmann equation
    • N. Ben Abdallah, P. Degond and S. Génieys, An energy-transport model for semiconductors derived from the Boltzmann equation, J. Stat. Phys. 84 (1996) 205-231.
    • (1996) J. Stat. Phys. , vol.84 , pp. 205-231
    • Ben Abdallah, N.1    Degond, P.2    Génieys, S.3
  • 6
    • 0035531199 scopus 로고    scopus 로고
    • High field approximations of the spherical harmonics expansion model for semiconductors
    • N. Ben Abdallah, P. Degond, P. A. Markowich and C. Schmeiser, High field approximations of the spherical harmonics expansion model for semiconductors, Z.A.M.P. 52 (2001) 201-230.
    • (2001) Z.A.M.P. , vol.52 , pp. 201-230
    • Ben Abdallah, N.1    Degond, P.2    Markowich, P.A.3    Schmeiser, C.4
  • 8
    • 0040692207 scopus 로고    scopus 로고
    • High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor
    • C. Cercignani, I. Gamba, and D. Levermore, High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor, Appl. Math. Lett. 10 (1997) 111-117.
    • (1997) Appl. Math. Lett. , vol.10 , pp. 111-117
    • Cercignani, C.1    Gamba, I.2    Levermore, D.3
  • 9
    • 0003293577 scopus 로고
    • High-field transport in semiconductors
    • Academic Press
    • E. M. Conwell, High-field transport in semiconductors, Solid State Phys. (Academic Press, 1967).
    • (1967) Solid State Phys.
    • Conwell, E.M.1
  • 10
    • 0002892761 scopus 로고
    • High electric field approximation in semiconductor devices
    • P. Dmitruk, A. Saul and L. Reyna, High electric field approximation in semiconductor devices, Appl. Math. Lett. 5 (1992) 99-102.
    • (1992) Appl. Math. Lett. , vol.5 , pp. 99-102
    • Dmitruk, P.1    Saul, A.2    Reyna, L.3
  • 12
    • 84974759770 scopus 로고
    • Limite fluide des quations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac
    • F. Golse and F. Poupaud, Limite fluide des quations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac, Asympt. Anal. 6 (1992) 135-160.
    • (1992) Asympt. Anal. , vol.6 , pp. 135-160
    • Golse, F.1    Poupaud, F.2
  • 13
    • 0039927422 scopus 로고
    • Global existence of solutions for the non linear Boltzmann equations of semiconductor physics
    • F. J. Mustieles, Global existence of solutions for the non linear Boltzmann equations of semiconductor physics, Rev. Mat. Iber. 6 (1990).
    • (1990) Rev. Mat. Iber. , vol.6
    • Mustieles, F.J.1
  • 14
    • 0025545719 scopus 로고
    • On a system of non linear Boltzmann equation of semiconductor physics
    • F. Poupaud, On a system of non linear Boltzmann equation of semiconductor physics, SIAM J. Appl. Math. 50 (1990) 1593-1606.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1593-1606
    • Poupaud, F.1
  • 15
    • 84974753119 scopus 로고
    • Diffusion approximation of the linear semiconductor Boltzmann equation, analysis of boundary layers
    • F. Poupaud, Diffusion approximation of the linear semiconductor Boltzmann equation, analysis of boundary layers, Asymp. Anal. 4 (1991) 293-317.
    • (1991) Asymp. Anal. , vol.4 , pp. 293-317
    • Poupaud, F.1
  • 16
    • 0032384696 scopus 로고    scopus 로고
    • Elastic and drift-diffusion limits of electron-phonon interaction in semiconductors
    • C. Schmeiser and A. Zwirchmayr, Elastic and drift-diffusion limits of electron-phonon interaction in semiconductors, Math. Models Methods Appl. Sci. 8 (1998) 37-53.
    • (1998) Math. Models Methods Appl. Sci. , vol.8 , pp. 37-53
    • Schmeiser, C.1    Zwirchmayr, A.2
  • 17
    • 84983941745 scopus 로고
    • Runaway phenomena and fluid approximation under high fields in semiconductor kinetic theory
    • F. Poupaud, Runaway phenomena and fluid approximation under high fields in semiconductor kinetic theory, Z. Angew. Math. Mech. 72 (1992) 359-372.
    • (1992) Z. Angew. Math. Mech. , vol.72 , pp. 359-372
    • Poupaud, F.1
  • 19
    • 0001961963 scopus 로고
    • Multidimensional spherical harmonies expansion of Boltzmann equation for transport in semiconductors
    • D. Ventura, A. Gnudi, G. Baccarani and F. Odeh, Multidimensional spherical harmonies expansion of Boltzmann equation for transport in semiconductors, Appl. Math. Lett. 5 (1992) 85-90.
    • (1992) Appl. Math. Lett. , vol.5 , pp. 85-90
    • Ventura, D.1    Gnudi, A.2    Baccarani, G.3    Odeh, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.