TY - INPR
A1 - Chaudhuri, Nirmalendu
A1 - Unterreiter, Andreas
T1 - On the minimal energy state of a mixture of charged classical and quantum fluids
N2 - 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 Plancks constants of holes, \(\xi\), is significantly smaller than the scaled Plancks constant of electrons. By setting formally \(\xi=0\) a well-posed differential-algebraic 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 \(\xi \to 0\). In particular the ground state energies of the quantum systems converge to the ground state energy of the differential-algebraic system as \(\xi \to 0\).
T3 - Berichte der Arbeitsgruppe Technomathematik (AGTM Report) - 230
KW - thermal equilibrium state
KW - charged fluids
KW - mixture of quantum fluids and classical fluids
KW - semi-classical limits
Y1 - 2000
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1113
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-10481
ER -