Nigel Goldenfeld's Group: Dynamics and Pattern Formation

Nigel Goldenfeld's Group: Turbulence

 
     
     

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3D directed percolation propagating in a pipe geometry

The following movie shows a region of active states in 3+1 dimensional directed percolation above the percolation threshold. This movie is for small p - p_c. As you can see, the puff interface is rough since the correlation length is large.

The following movie is for large p - p_c. In this case, the turbulent-laminar interface is smooth since the correlation length is small. This may correspond to the "slug" regime in pipe flow.

3D directed percolation in a channel geometry below the critical threshold

The following movie shows a region of active states in 3+1 dimensional directed percolation below the percolation threshold.

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