Order and chaos auf samsung galaxy s3

Turbulent fluid, for example, has a tendency to spontaneously form a tidy pattern: parallel stripes. Though physicists had observed this phenomenon experimentally, they can now explain why this happens using fundamental fluid dynamics equations, bringing them a step closer to understanding why particles behave in this way.


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In the lab, when a fluid is placed in between two parallel plates that are moving in opposite directions from each other, its flow becomes turbulent. But after a little while, the turbulence starts to smooth out in a striped pattern. What results is a canvas of smooth and turbulent lines running at an angle to the flow imagine slight wind-created waves in a river. This "kind of weird and very obscure" behavior has "fascinated scientists for a long, long time. Physicist Richard Feynman predicted that the explanation must be hidden in fundamental equations of fluid dynamics, called the Navier-Stokes equations.

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But these equations are very difficult to solve and analyze, Schneider told Live Science. So up until this point, no one knew how the equations predicted this pattern-forming behaviors. Schneider and his team used a combination of methods, including computer simulations and theoretical calculations to find a set of "very special solutions" to these equations that mathematically describe each step of the transition from chaos to order. Hilfer, R.

Order emerging from chaos in human evolutionary genetics | PNAS

Koeller, R. Acta Mech. Li, C.


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