Quantum Moment Hydrodynamics and the Entropy Principle

By Pierre Degond, Christian A. Ringhofer. 2003

194 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/618e95b3e9d2964f9f053cb674e47eb8eeaae11e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Pierangelo Marcati
2. Paolo Antonelli
3. Florian Méhats
4. Pierre Degond
5. Christian A. Ringhofer
6. I. Karlin
7. Alexander N Gorban

In Statistical and Nonlinear Physics

1. Pierangelo Marcati
2. Paolo Antonelli
3. Florian Méhats
4. I. Karlin
5. Alexander N Gorban
6. Pierre Degond
7. Christian A. Ringhofer

Citations in the corpus

• On the Finite Energy Weak Solutions to a System in Quantum Fluid Dynamics (2008, methodology): “devices, such as those based on Wigner-Poisson or Schr¨odinger-Poisson, since kinetic or Schr¨odinger equations are computationally very expensive. For a derivation of the QHD system we refer to [2], [15], [28], [29], [21], [13], [14]. The unknowns ρ,Jrepresent the charge and the current densities r”
• Invariant Manifolds for Physical and Chemical Kinetics (2005, background): “Quasiequilibrium approximations for quantum systems in the Wigner representation [36, 37] was discussed very recently [232].”
• Quantum Energy-Transport and Drift-Diffusion Models (2005, methodology): “In [29], we use these quantum Maxwellians to extend the expression of the classical Boltzmann collision operator to the quantum case.”