In a breakthrough study, an international team of scientists, including Professor Nikolai Brilliantov from the University of Leicester, has solved an age-old scientific riddle by discovering that planetary rings, such as those orbiting Saturn, have a universally similar particle distribution.
The study, which is published in the academic journal Proceedings of the National Academy of Sciences (PNAS), also suggests that Saturn's rings are essentially in a steady state that does not depend on their history.
[...] Professor Brilliantov from the University of Leicester's Department of Mathematics explained: "Saturn's rings are relatively well studied and it is known that they consist of ice particles ranging in size from centimetres to about ten metres. With a high probability these particles are remains of some catastrophic event in a far past, and it is not surprising that there exists debris of all sizes, varying from very small to very large ones.
"What is surprising is that the relative abundance of particles of different sizes follows, with a high accuracy, a beautiful mathematical law 'of inverse cubes'. That is, the abundance of 2 metre-size particles is 8 times smaller than the abundance of 1 metre-size particles, the abundance of 3 metre-size particles is 27 times smaller and so on. This holds true up to the size of about 10 metres, then follows an abrupt drop in the abundance of particles. The reason for this drastic drop, as well as the nature of the amazing inverse cubes law, has remained a riddle until now. We have finally resolved the riddle of particle size distribution. In particular, our study shows that the observed distribution is not peculiar for Saturn's rings, but has a universal character. In other words, it is generic for all planetary rings which have particles to have a similar nature."
[...] Professor Brilliantov added: "The rather general mathematical model elaborated in the study with the focus on Saturn's rings may be successfully applied to other systems, where particles merge, colliding with slow velocities and break into small pieces colliding with large impact speeds. Such systems exist in nature and industry and will exhibit a beautiful law of inverse cubes and drop in large particle abundance in their particle size distribution."
"Size distribution of particles in Saturn's rings from aggregation and fragmentation" at PNAS and Arxiv.
(Score: 3, Interesting) by wonkey_monkey on Thursday August 06 2015, @08:20PM
The reason for this drastic drop ... has remained a riddle until now. We have finally resolved the riddle of particle size distribution. In particular, our study shows that the observed distribution is not peculiar for Saturn's rings, but has a universal character. In other words, it is generic for all planetary rings which have particles to have a similar nature.
So what is the reason for the drop? The article seems to focus on the fact that this kind of distribution will be found elsewhere, but doesn't explain anything about why the distribution has the properties it does.
systemd is Roko's Basilisk
(Score: 2) by Translation Error on Thursday August 06 2015, @09:10PM
Yeah, I'm not very impressed either.
(Score: 2) by wonkey_monkey on Thursday August 06 2015, @10:25PM
https://soylentnews.org/comments.pl?sid=8841&cid=219288 [soylentnews.org]
systemd is Roko's Basilisk
(Score: 3, Informative) by c0lo on Thursday August 06 2015, @09:58PM
Because of the Bolzmann distribution he set at the foundation of their demo (for the kinetic energies) and the collision cross section which varies with n2/3 with the number of "individual particles" in a larger boulder (collision cross-section varies with r2, the radius of a spherical cow in vacuum varies with n1/3 with the number of particles in the cow).
The result is that, after accounting for agglutination, destruction and chipping rates, the distribution of spherical cows made from n particles varies with a exp(-λ*n) n-3/2 .
https://www.youtube.com/watch?v=aoFiw2jMy-0 https://soylentnews.org/~MichaelDavidCrawford
(Score: 2) by edIII on Thursday August 06 2015, @10:41PM
*raises hand*
Question: If the cow is spherical because of the vacuum, wouldn't it explode instead?
Technically, lunchtime is at any moment. It's just a wave function.
(Score: 2, Informative) by Anonymous Coward on Thursday August 06 2015, @10:02PM
Some excerpts from the paper conclusion:
. . .