Discrete Boltzmann-like equations: a dynamical formulation

G. Baumann, M. Grmela and T.F. Nonnenmacher

Physica A: Statistical Mechanics and its Applications, 1992, vol. 187, issue 3, 503-518

Abstract: This investigation presents a dynamical formulation of Boltzmann-like discrete kinetic equations. The central concept of such a formulation is based on the idea that a dissipative system is equipped with a functional Poisson bracket and a dissipative bracket, and with two functionals generating the dynamical evolution. We present non-canonical brackets and the generating functionals. We also discuss their basic properties and investigate dynamical invariants as well as the production of entropy generated by the entropy functional via the dissipative part of the bracket. When collisions are the only sources of dissipation we are coming up with a consistent up to now unknown version of the discrete Boltzmann-Vlasov kinetic equation.

Date: 1992
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719290008E
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:eee:phsmap:v:187:y:1992:i:3:p:503-518

DOI: 10.1016/0378-4371(92)90008-E

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().