Mathematicians solve 60-year-old problem

http://phys.org/news/2015-03-mathematicians-year-old-problem.html

by ghosh • 11 years ago

97 28 11 years ago

bjwbell• 11 years ago

http://arxiv.org/abs/1402.1603, version of the paper not behind a paywall.

The phys.org summary is light on mathematical details. The actual paper is very readable & if you have a math or physics background more understandable, e.g. the paper says six-wave interactions are responsible for "effective irreversible transfer of energy" but the phys.org summary leaves out "effective" (making the phys.org summary confusing IMO).

mkesper2• 11 years ago

The described phenomenon remembered me of giant waves called rogue waves https://en.wikipedia.org/wiki/Rogue_wave.

peterfirefly3• 11 years ago

remembered → reminded.

Are you French?

gballan3• 11 years ago

Visualization and background of the FPU problem: http://stemblab.github.io/fermi-pasta-ulam/

pjgomez• 11 years ago

That is fantastic, thank you very much

teddyh3• 11 years ago

All I get is a blank page in both Firefox and Chrome.

AndrewOMartin• 11 years ago

Did you try disabling Adblock Plus? I have ABP and the page was blank for me until I disabled it.

detaro2• 11 years ago

uBlock and HTTPS Anywhere both kill the page for me -> if you run anything like them turn it off.

gballan3• 11 years ago

Sorry, never seen that before (author here). Was there anything interesting in the console?

short_circut• 11 years ago

After reading the solution presented, what strikes me is that there is very little new math in it. Before you jump down my throat let me explain as this is quite an impressive effort.

Equation 7 bears a striking resemblance to what you would get if you started with a Liouville vonNeumann equation and tried to solve it in time. Infact all of the equations seem to follow this path.

See for example the books: 1) Charge and energy transfer dynamics in Molecular systems by Volkhard May and Oliver Kuhn (chapter 2)

2) Chemical Dynamics in Condensed Phases by Abraham NItzan.

I find it a bit surprising to not see these in the reference material. Everything in this paper screams Liouville von-Neuman equation.

thyrsus• 11 years ago

Is the generalization between one, two and three spatial dimensions straightforward?

Mathematicians solve 60-year-old problem

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