Non-distributive algebraic structures derived from nonextensive statistical mechanics

Details Non-distributive algebraic structures derived from nonextensive statistical mechanics Non-distributive algebraic structures derived from nonextensive statistical mechanics

2008-05-29

arxiv.org/abs/0805.4587v1

J. Math. Phys., 49, 093509 (2008)

Physics

Condensed Matter

Statistical Mechanics

11 pages, uses iopart

Scientific paper

10.1063/1.2982233

We propose a two-parametric non-distributive algebraic structure that follows from $(q,q')$-logarithm and $(q,q')$-exponential functions. Properties of generalized $(q,q')$-operators are analyzed. We also generalize the proposal into a multi-parametric structure (generalization of logarithm and exponential functions and the corresponding algebraic operators). All $n$-parameter expressions recover $(n-1)$-generalization when the corresponding $q_n\to1$. Nonextensive statistical mechanics has been the source of successive generalizations of entropic forms and mathematical structures, in which this work is a consequence.

Affiliated with

Also associated with

No associations

Rating

Non-distributive algebraic structures derived from 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 Non-distributive algebraic structures derived from nonextensive statistical mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-distributive algebraic structures derived from nonextensive statistical mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-179925