Naslov
Quantum hydrodynamic models with temperature effects: pros and cons

Autori
Milišić, Josipa Pina

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Conference on Multiscale Problems

Mjesto i datum
München, Njemačka, 09.09.2006. - 11.09.2006

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
quantum hydrodynamic models; entropy minimization; quantum maxwellian; resonant tunneling diode; finite differences

Sažetak
Semiconductor devices have reached the nanoscale length where quantum effects play an significant role. Usually, quantum systems are described by microscopic quantum models. In order to reduce the computational effort and to work with intuitive quantities, macroscopic quantum models have been derived. Quantum hydrodynamic models belong to this group. In this talk we derive and compare different quantum hydrodynamic models. The equations can be obtained formally from the Wigner equation, using the moment method. By taking the certain closure condition and choosing the collision operator, we derive different quantum hydrodynamic models. Finally, we present some numerical results for a one-dimensional resonant tunneling diode.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA