A kinetic beam scheme for ideal quantum gas dynamics

Autor:	Jaw-Yen Yang, Yu-Hsin Shi
Rok vydání:	2006
Předmět:	Physics Gas in a box Classical mechanics General Mathematics Quantum limit Quantum dynamics Quantum process General Engineering Quantum operation General Physics and Astronomy Quantum dissipation Amplitude damping channel Ideal gas
Zdroj:	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 462:1553-1572
ISSN:	1471-2946 1364-5021
Popis:	A novel kinetic beam scheme for the ideal quantum gas is presented for the computation of quantum gas dynamical flows. The quantum Boltzmann equation approach is adopted and the local thermodynamic equilibrium quantum distribution is assumed. Both Bose–Einstein and Fermi–Dirac gases are considered. Formulae for one spatial dimension is first derived and the resulting beam scheme is tested for shock tube flows. Implementation of high-order methods is also outlined. We only consider the system in the normal phase consisting of particles in excited states and both the classical limit and the nearly degenerate limit are computed. The flow structures can all be accurately captured by the present beam scheme. Formulations for multiple spatial dimensions are also included.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a7c7b4aca43bd8c83a6a4a35f5e06d8c https://doi.org/10.1098/rspa.2005.1618 Zobrazit plný text záznamu