Chaudhuri, N and Unterreiter, A
(2002)
*On the Minimal Energy State of a Mixture of Charged Classical and Quantum Fluids.*
In: ZAMM, 82
(9).
pp. 587-597.

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## Abstract

The paper concerns the equilibrium state of ultra small semiconductor devices. Due to the quantum drift diffusion model, electrons and holes behave as a mixture of charged quantum fluids. Typically the involved scaled Planck's constants of holes, \xi , is significantly smaller than the scaled Planck's constant of electrons. By setting formally \xi = 0 a well-posed differentialalgebraic system arises. Existence and uniqueness of an equilibrium solution is proved. A rigorous asymptotic analysis shows that this equilibrium solution is the limit (in a rather strong sense) of quantum systems as \xi \rightarrow 0. In particular the ground state energies of the quantum systems converge to the ground state energy of the differential-algebraic system as \xi \rightarrow 0.

Item Type: | Journal Article |
---|---|

Publication: | ZAMM |

Publisher: | WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim |

Additional Information: | The copyright belongs to WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. |

Keywords: | thermal equilibrium state;charged fluids;mixture quantum fluids;classical fluids;semi classical limits |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Date Deposited: | 09 Jan 2006 |

Last Modified: | 19 Sep 2010 04:22 |

URI: | http://eprints.iisc.ac.in/id/eprint/4859 |

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