Maximum Entropy Principle for Rarefied Polyatomic Gas

Tommaso Ruggeri and Masaru Sugiyama
Additional contact information
Tommaso Ruggeri: University of Bologna, Dept. of Mathematics and Res. Center of Applied Mathematics AM²
Masaru Sugiyama: Nagoya Institute of Technology, Graduate School of Engineering

Chapter Chapter 6 in Rational Extended Thermodynamics beyond the Monatomic Gas, 2015, pp 139-151 from Springer

Abstract: Abstract In this chapter, we prove, in the case of polyatomic rarefied gases, that the maximum entropy principle (MEP) gives the same closure of the system as that obtained in the phenomenological ET theory with 14 fields discussed in Chap. 5 The main idea is to consider a generalized distribution function depending not only on the velocity but also on an extra variable that connects with the internal degrees of freedom of a constituent molecule. On the basis of MEP, we again obtain the same binary hierarchy introduced in the previous chapter: the one is the usual momentum-type, F-series, and the other is the energy-type, G-series. The extra variable plays a role in the G-series. Thus we prove the perfect agreement between the ET theory and the molecular ET theory at least within 14-field theories. The agreement for any number of moments will be proved in Chap. 10

Keywords: Collision Term; Maximum Entropy Principle; Euler System; Equilibrium Distribution Function; Caloric Equation (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-13341-6_6

Ordering information: This item can be ordered from
http://www.springer.com/9783319133416

DOI: 10.1007/978-3-319-13341-6_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().