Zipf's law in Nuclear Multifragmentation and Percolation Theory

Details Zipf's law in Nuclear Multifragmentation and Percolation Theory Zipf's law in Nuclear Multifragmentation and Percolation Theory

2007-06-07

arxiv.org/abs/0706.0913v1

Phys.Rev.C76:054603,2007

Physics

Nuclear Physics

Nuclear Theory

8 pages, 11 figures, submitted to PRC

Scientific paper

10.1103/PhysRevC.76.054603

We investigate the average sizes of the $n$ largest fragments in nuclear multifragmentation events near the critical point of the nuclear matter phase diagram. We perform analytic calculations employing Poisson statistics as well as Monte Carlo simulations of the percolation type. We find that previous claims of manifestations of Zipf's Law in the rank-ordered fragment size distributions are not born out in our result, neither in finite nor infinite systems. Instead, we find that Zipf-Mandelbrot distributions are needed to describe the results, and we show how one can derive them in the infinite size limit. However, we agree with previous authors that the investigation of rank-ordered fragment size distributions is an alternative way to look for the critical point in the nuclear matter diagram.

Affiliated with

Also associated with

No associations

Rating

Zipf's law in Nuclear Multifragmentation and Percolation Theory 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 Zipf's law in Nuclear Multifragmentation and Percolation Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zipf's law in Nuclear Multifragmentation and Percolation Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-441652