A New Concept for Solving the Boltzmann TransportEquation in Ultra‐fast Transient Situations | Zendy

MingC. Cheng | Zendy

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A New Concept for Solving the Boltzmann TransportEquation in Ultra‐fast Transient Situations

Author(s) -

MingC. Cheng

Publication year - 1998

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 - 10.1155/1998/91675

Subject(s) - statistical physics , distribution function , boltzmann equation , relaxation (psychology) , monte carlo method , momentum (technical analysis) , transient (computer programming) , scale (ratio) , function (biology) , physics , distribution (mathematics) , boltzmann constant , field (mathematics) , computational physics , mathematics , computer science , quantum mechanics , mathematical analysis , psychology , social psychology , statistics , finance , evolutionary biology , pure mathematics , economics , biology , operating system

A concept based on relaxation of the hydrodynamic parameters is introduced to arrive at acomputational model for the extreme non-equilibrium distribution function of carriers inmulti-valley bandstructure. The relaxation times are taken to describe the evolution scale ofthe distribution function. The developed model is able to account for transport phenomena atthe momentum relaxation scale. The model, together with the Monte Carlo simulation, isapplied to obtain the electron distribution function in each valley of the lower conductionband in GaAs, and to study the evolution of the distribution function in GaAs subjected torapid changes in field

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