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Maximum Entropy Principle within A Total Energy Scheme for Hot-carrier Transport in Semiconductor Devices
Author(s) -
M. Trovato,
Luca Reggiani
Publication year - 2001
Publication title -
vlsi design
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.123
H-Index - 24
eISSN - 1065-514X
pISSN - 1026-7123
DOI - 10.1155/2001/89617
Subject(s) - principle of maximum entropy , statistical physics , monte carlo method , entropy (arrow of time) , semiconductor , maximum entropy spectral estimation , second moment of area , scheme (mathematics) , semiconductor device , mathematics , physics , mathematical analysis , quantum mechanics , materials science , thermodynamics , statistics , layer (electronics) , composite material
By extending the maximum entropy principle within a scheme in total average energywe obtain a closed system of hydrodynamic equations for a full nonparabolic bandmodel in which all the unknown constitutive functions are completely determined. Thetheory is validated by comparing hydrodynamic calculations with Monte Carlosimulations performed for bulk and submicron Si structures at 300 K. In the generalframework of the moment theory a systematic study of small-signal response functionsis provided

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