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friday :: october 20, 2006
   
 
applied self-organized criticality

Proving yet again that nature pays no attention to academic boundaries, two scientists at UCLA and the Santa Fe Institute have gained a deeper insight into rainfall patterns and atmospheric dynamics by using techniques originally developed for magnetic materials.

Physicist Ole Peters of the Santa Fe Institute and UCLA, and climatologist J. David Neelin of UCLA, argue that the onset of intense tropical rain can be described by the same mathematics as a piece of iron that's making the transition from unmagnetized to magnetized.

To illustrate the principle, explain the two scientists, imagine that you're dribbling rice grains onto a steadily accumulating mound of rice. Adding one more grain usually does nothing at all, except to make the pile a bit bigger. But eventually, as the sides of the pile get steeper, the balance becomes so precarious that a single falling grain can trigger an avalanche--sometimes even a catastrophic avalanche. At this point of "self-organized criticality," a tiny perturbation can produce a huge response.

So it is with an ordinary iron bar magnet that's near a certain critical temperature. At low temperatures, perturbations don't have much effect. Once the iron atoms in the bar have oriented themselves in the same direction, with their internal magnetic fields adding together, they like to stay that way; the bar is permanently "magnetized." But as the temperature goes up, meaning that the iron atoms are vibrating harder and harder, the disordering effects of the vibrations begin to overwhelm the forces that keep the atoms in line. At the critical temperature, the balance is so precarious that the slightest fluctuation can cause the entire magnet to switch north and south. Again, a tiny perturbation can produce a huge response.

And so it is with rainfall over the tropical oceans, explain the scientists, who based their conclusions on satellite remote sensing data. "The atmosphere has a tendency to move to a critical point in water vapor where the likelihood of rain dramatically increases," says Peters. "The system reaches a point where it's just about to rain; it's highly susceptible. Any additional water vapor can produce a large response."

One near-term payoff from this insight may be more accurate climate models, which currently have a tough time accurately representing precipitation.

"It's known that as water vapor increases" noted Neelin, "that there should be an onset of precipitation. These results tell us much more precisely how that transition occurs--which we can incorporate into atmospheric models". >from *A Link Between Rainfall and Magnetism*. They are nothing alike--except for their underlying mathematics. june 29, 2006

related context
>
more information about peters and neelin research. "this is a huge step forward in self-organized criticality and critical phenomena. there really is a critical point. this is the strongest evidence for any physical self-organized critical system to really have a critical point." june 20, 2006
> self-organized criticality and scale-free properties in emergent functional neural networks. 'studies on complex systems have shown that the synchronization of oscillators, including neuronal ones, is faster, stronger, and more efficient in small-world networks than in regular or random networks.' october 9, 2006
> zero point energy of the vacuum. july 21, 2006
> disorder-induced synchronization. april 14, 2006
> synchrony: order is inevitable. april 9, 2003
> network-based movements. march 3, 2003
> smart mobs. october 3, 2002
> understanding the patterns of chaos. february 6, 2002


imago
>
tales of suspense:
iron man plays a critical point as an attractor

sonic flow
>
mathematical fabric of reality [stream]
mathematical fabric of reality [download]

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