Quantum Hydrodynamic Model by Moment Closure of Wigner Equation
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Tiao Lu | Zhenning Cai | Yuwei Fan | Yanli Wang | Ruo Li
[1] H. Struchtrup,et al. Regularization of Grad’s 13 moment equations: Derivation and linear analysis , 2003 .
[2] Manuel Torrilhon,et al. Explicit fluxes and productions for large systems of the moment method based on extended thermodynamics , 2003 .
[3] Pierre Degond,et al. Quantum Moment Hydrodynamics and the Entropy Principle , 2003 .
[4] Pierre Degond,et al. Quantum Energy-Transport and Drift-Diffusion Models , 2005 .
[5] Ruo Li,et al. NRxx Simulation of Microflows with Shakhov Model , 2011, SIAM J. Sci. Comput..
[6] Shi Jin,et al. Regularization of the Burnett Equations via Relaxation , 2001 .
[7] Ruo Li,et al. Globally Hyperbolic Regularization of Grad's Moment System , 2012 .
[8] M. Scully,et al. Distribution functions in physics: Fundamentals , 1984 .
[9] C. D. Levermore,et al. Moment closure hierarchies for kinetic theories , 1996 .
[10] J. Mayer,et al. On the Quantum Correction for Thermodynamic Equilibrium , 1947 .
[11] Plummer,et al. Comparison of self-consistency iteration options for the Wigner function method of quantum device simulation. , 1996, Physical review. B, Condensed matter.
[12] H. Kosina,et al. Wigner Function-Based Simulation of Quantum Transport in Scaled DG-MOSFETs Using a Monte Carlo Method , 2005 .
[13] Ferry,et al. Self-consistent study of the resonant-tunneling diode. , 1989, Physical review. B, Condensed matter.
[14] Sihong Shao,et al. Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport , 2011 .
[15] P. Bhatnagar,et al. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .
[16] D. Querlioz,et al. Wigner-Boltzmann Monte Carlo approach to nanodevice simulation: from quantum to semiclassical transport , 2009 .
[17] X. He,et al. Discretization of the Velocity Space in the Solution of the Boltzmann Equation , 1997, comp-gas/9712001.
[18] M. Nedjalkov,et al. Wigner Function-Based Device Modeling , 2008 .
[19] D. Owen. Handbook of Mathematical Functions with Formulas , 1965 .
[20] Ansgar Jüngel. A note on current-voltage characteristics from the quantum hydrodynamic equations for semiconductors , 1997 .
[21] J. D. Aua. The shock tube study in extended thermodynamics , 2001 .
[22] H. Grad. On the kinetic theory of rarefied gases , 1949 .
[23] Ruo Li,et al. Globally Hyperbolic Regularization of Grad's Moment System , 2011, 1203.0376.
[24] D. Ferry,et al. Transport in nanostructures , 1999 .
[25] Henning Struchtrup,et al. Stable transport equations for rarefied gases at high orders in the Knudsen number , 2004 .
[26] Manuel Torrilhon,et al. Hyperbolic Moment Equations in Kinetic Gas Theory Based on Multi-variate Pearson-IV-distributions , 2009 .
[27] Shaoqiang Tang,et al. Stationary and Transient Simulations for a One-Dimensional Resonant Tunneling Diode † , 2008 .
[28] T. Paul,et al. Sur les mesures de Wigner , 1993 .
[29] A. Kriman,et al. Transient Simulation of Ultra-Small GaAs MESFET Using Quantum Moment Equations , 1992, Picosecond Electronics and Optoelectronics.
[30] Ruo Li,et al. Numerical Regularized Moment Method for High Mach Number Flow , 2010, 1011.5787.
[31] Carl L. Gardner,et al. The Quantum Hydrodynamic Model for Semiconductor Devices , 1994, SIAM J. Appl. Math..
[32] Harold Grad,et al. The profile of a steady plane shock wave , 1952 .
[33] P. Bordone,et al. The Wigner-function approach to non-equilibrium electron transport , 2004 .
[34] Manuel Torrilhon. Regularized 13 -Moment-Equations , 2007 .
[35] Ruo Li,et al. Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation , 2010, SIAM J. Sci. Comput..
[36] W. Frensley,et al. Wigner-function model of a resonant-tunneling semiconductor device. , 1987, Physical review. B, Condensed matter.