Generalized entropies and the transformation group of superstatistics

Details Generalized entropies and the transformation group of superstatistics Generalized entropies and the transformation group of superstatistics

2011-03-02

arxiv.org/abs/1103.0580v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, no figure

Scientific paper

Superstatistics describes statistical systems that behave like superpositions of different inverse temperatures $\beta$, so that the probability distribution is $p(\epsilon_i) \propto \int_{0}^{\infty} f(\beta) e^{-\beta \epsilon_i}d\beta$, where the `kernel' $f(\beta)$ is nonnegative and normalized ($\int f(\beta)d \beta =1$). We discuss the relation between this distribution and the generalized entropic form $S=\sum_i s(p_i)$. The first three Shannon-Khinchin axioms are assumed to hold. It then turns out that for a given distribution there are two different ways to construct the entropy. One approach uses escort probabilities and the other does not; the question of which to use must be decided empirically. The two approaches are related by a duality. The thermodynamic properties of the system can be quite different for the two approaches. In that connection we present the transformation laws for the superstatistical distributions under macroscopic state changes. The transformation group is the Euclidean group in one dimension.

Affiliated with

Also associated with

No associations

Rating

Generalized entropies and the transformation group of superstatistics 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 entropies and the transformation group of superstatistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized entropies and the transformation group of superstatistics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-588295