Comments on: 315. Turbulence: order and disorder in turbulent flow

By: Thermonuclear reactors. More on inertial confinement | NEQNET: Non-equilibrium Phenomena

Tue, 21 Apr 2009 08:01:31 +0000

[...] breakdown of spherical symmetry. That’s how the problem of thermonuclear fusion is related to the problem of turbulence, but let me leave the discussion of hydrodynamic instabilities to another post… Entered [...]

By: Dmitry

Dmitry — Mon, 23 Mar 2009 19:38:07 +0000

Hi J.D.

Feigenbaum constant is a “feature” of systems where transition to chaos happens via period doubling. There was long time belief (that goes back to Landau 1944) that in Navier-Stokes turbulence transition to chaos happens also through period doubling. For N.-S., such regime was later found to be unstable but the doubling story does not seem to be completely finished yet – I was going to talk about it more in one of the next posts (this week, probably).

Cheers,
Dmitry.

By: J.D. Bertron

J.D. Bertron — Mon, 23 Mar 2009 15:56:35 +0000

Reading about your posts on developed turbulence, I can’t help but think about Feigenbaum’s constant.
Surely someone has tried before to reconcile the energy cascade and onset of turbulence with this remarkable result.
It seems to me that it should not only explain turbulence, but intermittency as well. I would be shocked if it didn’t.
There must be some analytical description of the mechanism by which the energy is dissipated that is subject to this onset of chaos.
Surely the release of energy isn’t continuous and subject to some kind of hysteresis, or at least some oscillation.
Has this been investigated before ?