A derivation of the isothermal quantum hydrodynamic equations using entropy minimization
نویسندگان
چکیده
Isothermal quantum hydrodynamic equations of order O(~) using the quantum entropy minimization method recently developed by Degond and Ringhofer are derived. The equations have the form of the usual quantum hydrodynamic model including a correction term of order O(~) which involves the vorticity. If the initial vorticity is of order O(~), the standard model is obtained up to order O(~). The derivation is based on a careful expansion of the quantum equilibrium obtained from the entropy minimization in powers of ~.
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