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Volumn 13, Issue 3, 2003, Pages 771-801

Effective potentials and quantum fluid models: A thermodynamic approach

Author keywords

Effective potentials; Quantum hydrodynamics; Quantum thermodynamics

Indexed keywords

COMPUTER SIMULATION; DIODES; ELECTRONS; HYDRODYNAMICS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MONTE CARLO METHODS; POISSON EQUATION; RESONANT TUNNELING; THERMODYNAMICS;

EID: 1542579960     PISSN: 01291564     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129156403002022     Document Type: Article
Times cited : (23)

References (33)
  • 2
    • 0002910549 scopus 로고
    • Quantum kinetic equations for electrons in high electric and phonon field
    • P. Argyres: Quantum kinetic equations for electrons in high electric and phonon field, Physics Letters, Vol. A 171, 1992.
    • (1992) Physics Letters , vol.171 A
    • Argyres, P.1
  • 3
    • 0022044296 scopus 로고
    • An investigation of steady-state velocity overshoot effects in Si and GaAs devices
    • G.Baccarani, M. Wordeman: An investigation of steady-state velocity overshoot effects in Si and GaAs devices, Solid State Electronics, Vol. 28, pp. 407-416, 1985.
    • (1985) Solid State Electronics , vol.28 , pp. 407-416
    • Baccarani, G.1    Wordeman, M.2
  • 4
    • 24844476905 scopus 로고
    • Self-scattering path-variable formulation of high-field, time-dependent, quantum kinetic equations for semiconductor transport in the finite collision-duration regime
    • J.Barker, D. Ferry: Self-scattering path-variable formulation of high-field, time-dependent, quantum kinetic equations for semiconductor transport in the finite collision-duration regime, Physical Review Letters, Vol. 42, pp. 1779-1781, 1979.
    • (1979) Physical Review Letters , vol.42 , pp. 1779-1781
    • Barker, J.1    Ferry, D.2
  • 5
    • 0036033113 scopus 로고    scopus 로고
    • Coupling one-dimensional time-dependent classical and quantum transport models
    • N. Ben Abdallah, P. Degond, I.M. Gamba: Coupling one-dimensional time-dependent classical and quantum transport models, J. Math. Phys. 43(1), 1-24, 2002.
    • (2002) J. Math. Phys. , vol.43 , Issue.1 , pp. 1-24
    • Ben Abdallah, N.1    Degond, P.2    Gamba, I.M.3
  • 6
    • 84968481687 scopus 로고
    • The Weighted Particle Method for Convection-Diffusion Equations. Part 1: The Case of an Isotropic Viscosity
    • P. Degond, S. Mas-Gallic: The Weighted Particle Method for Convection-Diffusion Equations. Part 1: The Case of an Isotropic Viscosity, Mathematics of Computation, Vol. 53, No. 188, pp. 485-507, 1989.
    • (1989) Mathematics of Computation , vol.53 , Issue.188 , pp. 485-507
    • Degond, P.1    Mas-Gallic, S.2
  • 7
    • 84968519040 scopus 로고
    • The Weighted Particle Method for Convection-Diffusion Equations. Part 2: The AnisotropicCase
    • P. Degond, S. Mas-Gallic: The Weighted Particle Method for Convection-Diffusion Equations. Part 2: The AnisotropicCase, Mathematics of Computation, Vol. 53, No. 188, pp. 509-525, 1989.
    • (1989) Mathematics of Computation , vol.53 , Issue.188 , pp. 509-525
    • Degond, P.1    Mas-Gallic, S.2
  • 8
    • 77956698230 scopus 로고
    • Modelling of quantum transport in semiconductor devices
    • D. Ferry, H. Grubin: Modelling of quantum transport in semiconductor devices, Solid State Phys. 49, pp.283-448, 1995.
    • (1995) Solid State Phys. , vol.49 , pp. 283-448
    • Ferry, D.1    Grubin, H.2
  • 9
    • 0000962141 scopus 로고
    • First-Order Optical and Intervalley Scattering in Semiconductors
    • D. K. Ferry: First-Order Optical and Intervalley Scattering in Semiconductors, Phys. Rev. B, Vol. 14, 1605, 1976.
    • (1976) Phys. Rev. B , vol.14 , pp. 1605
    • Ferry, D.K.1
  • 11
    • 0028413338 scopus 로고
    • The quantum hydrodynamic model for semiconductor devices
    • C. Gardner: The quantum hydrodynamic model for semiconductor devices, SIAM Journal on Applied Mathematics, Vol. 54, pp. 409-427, 1994.
    • (1994) SIAM Journal on Applied Mathematics , vol.54 , pp. 409-427
    • Gardner, C.1
  • 12
    • 0029482315 scopus 로고
    • Resonant tunneling in the quantum hydrodynamic model
    • C. Gardner: Resonant tunneling in the quantum hydrodynamic model, VLSI Design, Vol. 3, pp. 201-210, 1995.
    • (1995) VLSI Design , vol.3 , pp. 201-210
    • Gardner, C.1
  • 13
    • 0001719509 scopus 로고    scopus 로고
    • Smooth quantum potential for the hydrodynamic model
    • C. L. Gardner, C. Ringhofer: Smooth quantum potential for the hydrodynamic model Physical Review, Vol. E 53, pp. 157-167, 1996.
    • (1996) Physical Review , vol.53 E , pp. 157-167
    • Gardner, C.L.1    Ringhofer, C.2
  • 14
    • 0032097932 scopus 로고    scopus 로고
    • Approximation of thermal equilibrium for quantum gases with discontinuous potentials and application to semiconductor devices
    • C.Gardner, C.Ringhofer: Approximation of thermal equilibrium for quantum gases with discontinuous potentials and application to semiconductor devices, SIAM Journal on Applied Mathematics, Vol. 58, pp. 780-805, 1998.
    • (1998) SIAM Journal on Applied Mathematics , vol.58 , pp. 780-805
    • Gardner, C.1    Ringhofer, C.2
  • 15
    • 0039768709 scopus 로고    scopus 로고
    • The quantum hydrodynamic model for semiconductors in thermal equilibrium
    • I. Gasser, A. Jüngel: The quantum hydrodynamic model for semiconductors in thermal equilibrium, Z. Angew. Math. Phys. 48, pp. 45-59, 1997.
    • (1997) Z. Angew. Math. Phys. , vol.48 , pp. 45-59
    • Gasser, I.1    Jüngel, A.2
  • 16
    • 0030507733 scopus 로고    scopus 로고
    • Closure conditions for classical and quantum moment hierarchies in the small temperature limit
    • I. Gasser, P. Markowich and C. Ringhofer: Closure conditions for classical and quantum moment hierarchies in the small temperature limit, Transp. Th. Stat. Phys. 25, pp. 409-423, 1996.
    • (1996) Transp. Th. Stat. Phys. , vol.25 , pp. 409-423
    • Gasser, I.1    Markowich, P.2    Ringhofer, C.3
  • 17
    • 0002375163 scopus 로고    scopus 로고
    • Quantum Hydrodynamics, Wigner Transforms and the Classical Limit
    • I. Gasser and P. A. Markowich: Quantum Hydrodynamics, Wigner Transforms and the Classical Limit, Asympt. Analysis, Vol. 14, No. 2, pp. 97-116, 1997.
    • (1997) Asympt. Analysis , vol.14 , Issue.2 , pp. 97-116
    • Gasser, I.1    Markowich, P.A.2
  • 18
    • 0000538578 scopus 로고    scopus 로고
    • A Review of Dispersive Limits of (non)linear Schrdinger-Type Equations
    • I. Gasser, C.K. Lin, P.A. Markowich: A Review of Dispersive Limits of (non)linear Schrdinger-Type Equations, Taiwanese Journal of Math., Vol. 4, No. 4, pp.501-529, 2000.
    • (2000) Taiwanese Journal of Math. , vol.4 , Issue.4 , pp. 501-529
    • Gasser, I.1    Lin, C.K.2    Markowich, P.A.3
  • 19
    • 0033667041 scopus 로고    scopus 로고
    • 3D Simulations of Ultra-Small MOSFETs with Real-Space Treatment of the Electron-Electron and Electron-Ion Interactions
    • W. J. Gross, D. Vasileska, D. K. Ferry: 3D Simulations of Ultra-Small MOSFETs with Real-Space Treatment of the Electron-Electron and Electron-Ion Interactions, VLSI Design, Vol. 10, 437, 2000.
    • (2000) VLSI Design , vol.10 , pp. 437
    • Gross, W.J.1    Vasileska, D.2    Ferry, D.K.3
  • 21
    • 36149023347 scopus 로고
    • Transport and Deformation-Potential Theory for Many-Valley Semiconductors with Anisotropic Scattering
    • C. Herring, E. Vogt: Transport and Deformation-Potential Theory for Many-Valley Semiconductors with Anisotropic Scattering, Phys. Rev., Vol. 101, 944, 1956.
    • (1956) Phys. Rev. , vol.101 , pp. 944
    • Herring, C.1    Vogt, E.2
  • 22
    • 35949025517 scopus 로고
    • The Monte Carlo Method for the Solution of Charge Transport in Semiconductors with Applications to Covalent Materials
    • C. Jacoboni, L. Reggiani: The Monte Carlo Method for the Solution of Charge Transport in Semiconductors with Applications to Covalent Materials, Rev. Modern Phys., Vol. 55, 645, 1983.
    • (1983) Rev. Modern Phys. , vol.55 , pp. 645
    • Jacoboni, C.1    Reggiani, L.2
  • 23
    • 0030263242 scopus 로고    scopus 로고
    • On particle-mesh coupling in Monte Carlo semiconductor device simultion
    • S. E. Laux: On particle-mesh coupling in Monte Carlo semiconductor device simultion, IEEE Trans. CAD Integr. Circ. Syst., Vol. 15, 1266, 1996.
    • (1996) IEEE Trans. CAD Integr. Circ. Syst. , vol.15 , pp. 1266
    • Laux, S.E.1
  • 24
    • 2842549616 scopus 로고
    • The quantum tranmitting boundary method
    • C. Lent, D. Kirkner: The quantum tranmitting boundary method, Journal of Applied Physics, Vol. 67, pp. 6353-6359, 1990.
    • (1990) Journal of Applied Physics , vol.67 , pp. 6353-6359
    • Lent, C.1    Kirkner, D.2
  • 26
    • 0000435328 scopus 로고    scopus 로고
    • Space lateral transfer and negative differential conductance regimes in quantum waveguide junctions
    • to appear
    • E. Polizzi, N. Ben Abdallah: Space lateral transfer and negative differential conductance regimes in quantum waveguide junctions, to appear in Journal of Applied Physics, URL: http://www.math.tu-berlin.de/tmr/preprint/authors.html, 2000.
    • (2000) Journal of Applied Physics
    • Polizzi, E.1    Ben Abdallah, N.2
  • 27
    • 0036503414 scopus 로고    scopus 로고
    • Modeling of quantum effects in ultrasmall FD-SOI MOSFETs with effective potentials and 3D Monte Carlo
    • in press
    • S. Ramey, D. Ferry: Modeling of quantum effects in ultrasmall FD-SOI MOSFETs with effective potentials and 3D Monte Carlo, Physica B, in press, URL: http://www.eas.asu.edu/ferry/quantumdev.htm, 2002.
    • (2002) Physica B
    • Ramey, S.1    Ferry, D.2
  • 28
    • 85011527433 scopus 로고    scopus 로고
    • Computational methods for semiclassical and quantum transport in semiconductor devices
    • C. Ringhofer: Computational methods for semiclassical and quantum transport in semiconductor devices, Acta Numerica, Vol. 3, pp. 485-521, 1997.
    • (1997) Acta Numerica , vol.3 , pp. 485-521
    • Ringhofer, C.1
  • 29
    • 1542693678 scopus 로고    scopus 로고
    • A Wigner function based quantum ensemble Monte Carlo study of a resonant tunneling diode
    • to appear
    • L. Shifren, C. Ringhofer, D. Ferry: A Wigner function based quantum ensemble Monte Carlo study of a resonant tunneling diode, to appear, IEEE Electron Device Letters, URL: http://math.la.asu.edu/chris, 2002.
    • (2002) IEEE Electron Device Letters
    • Shifren, L.1    Ringhofer, C.2    Ferry, D.3
  • 30
    • 0035796610 scopus 로고    scopus 로고
    • Particle Monte Carlo simulation of Wigner function tunneling
    • L. Shifren, D. Ferry: Particle Monte Carlo simulation of Wigner function tunneling, Physics Letters A 285, 217-221, 2001.
    • (2001) Physics Letters A , vol.285 , pp. 217-221
    • Shifren, L.1    Ferry, D.2
  • 31
    • 33745014742 scopus 로고
    • On the quantum correction for thermodynamic equilibrium
    • E. Wigner: On the quantum correction for thermodynamic equilibrium, Physical Review, Vol. 40, pp. 749-759, 1932.
    • (1932) Physical Review , vol.40 , pp. 749-759
    • Wigner, E.1
  • 32
    • 0002704146 scopus 로고    scopus 로고
    • Quantum Wavepacket Dynamics with Trajectories: Wavefunction Synthesis along Quantum Paths
    • R. E. Wyatt: Quantum Wavepacket Dynamics with Trajectories: Wavefunction Synthesis along Quantum Paths, Chem. Phys. Lett. 313, 189-197, 1999.
    • (1999) Chem. Phys. Lett. , vol.313 , pp. 189-197
    • Wyatt, R.E.1
  • 33
    • 26644445731 scopus 로고    scopus 로고
    • Quantum Wave Packet Dynamics with Trajectories: Application to Reactive Scattering
    • R. E. Wyatt: Quantum Wave Packet Dynamics with Trajectories: Application to Reactive Scattering, J. Chem. Phys. 111, 4406-4413, 1999.
    • (1999) J. Chem. Phys. , vol.111 , pp. 4406-4413
    • Wyatt, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.