Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-03-13
Phys. Rev. E 79, 041116 (2009)
Physics
Condensed Matter
Statistical Mechanics
22 pages, no figures. Accepted for publication in Phys. Rev. E
Scientific paper
Quite unexpectedly, kinetic theory is found to specify the correct definition of average value to be employed in nonextensive statistical mechanics. It is shown that the normal average is consistent with the generalized Stosszahlansatz (i.e., molecular chaos hypothesis) and the associated H-theorem, whereas the q-average widely used in the relevant literature is not. In the course of the analysis, the distributions with finite cut-off factors are rigorously treated. Accordingly, the formulation of nonextensive statistical mechanics is amended based on the normal average. In addition, the Shore-Johnson theorem, which supports the use of the q-average, is carefully reexamined, and it is found that one of the axioms may not be appropriate for systems to be treated within the framework of nonextensive statistical mechanics.
No associations
LandOfFree
Generalized molecular chaos hypothesis and H-theorem: Problem of constraints and amendment of nonextensive statistical mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Generalized molecular chaos hypothesis and H-theorem: Problem of constraints and amendment of nonextensive statistical mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized molecular chaos hypothesis and H-theorem: Problem of constraints and amendment of nonextensive statistical mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-229293