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EnglishBy using the quantum maximum entropy principle we formally derive, from a underlying kinetic description, isothermal (hydrodynamic and diffusive) quantum fluid equations for particles with Fermi-Dirac and Bose-Einstein statistics. A semiclassical expansion of the quantum fluid equations, up to -terms, leads to classical fluid equations with statistics-dependent quantum corrections, including a modified Bohm potential. The Maxwell-Boltzmann limit and the zero temperature limit are eventually discussed.
| Titolo: | Derivation of Isothermal Quantum Fluid Equations with Fermi-Dirac and Bose-Einstein Statistics | |
| Autori: | ||
| Data di pubblicazione: | 2012 | |
| Rivista: | ||
| Abstract: | By using the quantum maximum entropy principle we formally derive, from a underlying kinetic description, isothermal (hydrodynamic and diffusive) quantum fluid equations for particles with Fermi-Dirac and Bose-Einstein statistics. A semiclassical expansion of the quantum fluid equations, up to -terms, leads to classical fluid equations with statistics-dependent quantum corrections, including a modified Bohm potential. The Maxwell-Boltzmann limit and the zero temperature limit are eventually discussed. | |
| Handle: | http://hdl.handle.net/11368/2831096 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10955-012-0535-5 | |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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