Abstract
The author proposes the semi-classical expansion of the distribution function using modified Hermite polynomials to calculate moment equations for quantum gas. The completeness of the semi-classical expansion of the distribution function is not satisfied, whereas we can conjecture that moment equations obtained using the semi-classical expansion coincides with those obtained using Uehling–Uhlenbeck equation. Actually, Grad’s 13 moment equations, which are calculated using correct Grad’s 13 moment equation, coincide with those, which are calculated using the semi-classical expansion of the distribution function, when the collisional term of the Uehling–Uhlenbeck equation is replaced with the quantum Bhatnagar–Gross–Krook model.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
