The additivity of the pseudo-additive conditional entropy for a proper Tsallis' entropic index

Details The additivity of the pseudo-additive conditional entropy for a proper Tsallis' entropic index The additivity of the pseudo-additive conditional entropy for a proper Tsallis' entropic index

2001-10-02

arxiv.org/abs/cond-mat/0110046v1

Physica A 301 (2001) 284-290

Physics

Condensed Matter

Statistical Mechanics

LaTeX2e, elsart, 4 pages, no figure, contributed paper to the Proceedings of the International School and Workshop on Nonexten

Scientific paper

For Tsallis' entropic analysis to the time evolutions of standard logistic map at the Feigenbaum critical point, it is known that there exists a unique value $q^*$ of the entropic index such that the asymptotic rate $K_q \equiv \lim_{t \to \infty} \{S_q(t)-S_q(0)\} / t$ of increase in $S_q(t)$ remains finite whereas $K_q$ vanishes (diverges) for $q > q^* (q < q^*)$. We show that in spite of the associated whole time evolution cannot be factorized into a product of independent sub-interval time evolutions, the pseudo-additive conditional entropy $S_q(t|0) \equiv \{S_q(t)-S_q(0)\}/ \{1+(1-q)S_q(0)\}$ becomes additive when $q=q^*$. The connection between $K_{q^*}$ and the rate $K'_{q^*} \equiv S_{q^*}(t | 0) / t$ of increase in the conditional entropy is discussed.

Affiliated with

Also associated with

No associations

Rating

The additivity of the pseudo-additive conditional entropy for a proper Tsallis' entropic index 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 The additivity of the pseudo-additive conditional entropy for a proper Tsallis' entropic index, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The additivity of the pseudo-additive conditional entropy for a proper Tsallis' entropic index will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60325