6533b7dcfe1ef96bd12727c7
RESEARCH PRODUCT
A derivation of the isothermal quantum hydrodynamic equations using entropy minimization
Ansgar JüngelDaniel Matthessubject
Minimisation (psychology)Standard Model (mathematical formulation)Classical mechanicsQuantum hydrodynamicsApplied MathematicsComputational MechanicsOrder (ring theory)Von Neumann entropyVorticityQuantumIsothermal processMathematical physicsMathematicsdescription
Isothermal quantum hydrodynamic equations of order O(h 2 ) 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(h 2 ) which involves the vorticity. If the initial vorticity is of order 0(h), the standard model is obtained up to order O(h 4 ). The derivation is based on a careful expansion of the quantum equilibrium obtained from the entropy minimization in powers of h 2 .
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-11-02 | ZAMM |