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 Ohstroke 2 -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.
Barletti, L., Cintolesi, C. (2012). Derivation of Isothermal Quantum Fluid Equations with Fermi-Dirac and Bose-Einstein Statistics. JOURNAL OF STATISTICAL PHYSICS, 148(2), 353-386 [10.1007/s10955-012-0535-5].
Derivation of Isothermal Quantum Fluid Equations with Fermi-Dirac and Bose-Einstein Statistics
Cintolesi C.
2012
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 Ohstroke 2 -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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
