A self-consistent numerical method for simulation of quantum transport in high electron mobility transistor. I: The Boltzmann-Poisson-Schrödinger solver.
Khoie, R. (1996)
Mathematical Problems in Engineering
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Khoie, R. (1996)
Mathematical Problems in Engineering
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Jinn-Liang Liu (2015)
Molecular Based Mathematical Biology
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A quantum corrected Poisson-Nernst-Planck (QCPNP) model is proposed for simulating ionic currents through biological ion channels by taking into account both classical and quantum mechanical effects. A generalized Gummel algorithm is also presented for solving the model system. Compared with the experimental results of X-ray crystallography, it is shown that the quantum PNP model is more accurate than the classical model in predicting the average number of ions in the channel pore. Moreover,...
Olbrant, Edgar, Frank, Martin (2010)
Computational & Mathematical Methods in Medicine
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Katz, Matthew Lubelski, Wang, Jingbo (2010)
Advances in Mathematical Physics
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Alberto Barchielli, Giancarlo Lupieri (1998)
Banach Center Publications
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Stéphane Nonnenmacher (2009-2010)
Séminaire Équations aux dérivées partielles
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C. Jourdana, N. Vauchelet (2015)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
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This paper is devoted to numerical simulations of electronic transport in nanoscale semiconductor devices forwhich charged carriers are extremely confined in one direction. In such devices, like DG-MOSFETs, the subband decomposition method is used to reduce the dimensionality of the problem. In the transversal direction electrons are confined and described by a statistical mixture of eigenstates of the Schrödinger operator. In the longitudinal direction, the device is decomposed into...
Stéphane Nonnenmacher, Maciej Zworski (2005-2006)
Séminaire Équations aux dérivées partielles
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G. M. Graf (1989-1990)
Séminaire Équations aux dérivées partielles (Polytechnique)
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