Geometric Entropies of Mixing (EOM)

Details Geometric Entropies of Mixing (EOM) Geometric Entropies of Mixing (EOM)

2005-11-10

arxiv.org/abs/cond-mat/0511247v1

Open Systems & Information Dynamics 13 (2006) 91-101

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

Trigonometric and trigonometric-algebraic entropies are introduced. Regularity increases the entropy and the maximal entropy is shown to result when a regular $n$-gon is inscribed in a circle. A regular $n$-gon circumscribing a circle gives the largest entropy reduction, or the smallest change in entropy from the state of maximum entropy which occurs in the asymptotic infinite $n$ limit. EOM are shown to correspond to minimum perimeter and maximum area in the theory of convex bodies, and can be used in the prediction of new inequalities for convex sets. These expressions are shown to be related to the phase functions obtained from the WKB approximation for Bessel and Hermite functions.

Affiliated with

Also associated with

No associations

Rating

Geometric Entropies of Mixing (EOM) 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 Geometric Entropies of Mixing (EOM), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric Entropies of Mixing (EOM) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-386753