Sunday, December 21, 2008

Latch with diffusion


Feature size changes with diffusion ... more diffusion, bigger features.


Today I played around with how the diffusion coefficient effects the formation of pattern in the simple latch case. This is an array of bi-stable switches with uninitialized starting conditions (i.e. a little bit of noise). The feature size varies directly with the diffusion. The graph shows that the mean feature size (blue, multiple trials) rises fairly linearly with diffusion as does the variance (standard deviation plotted in red, same trials). There's probably a sexier way to make this plot with error bars or something, I'll think about that.

2 comments:

Frida zayla said...

I like your nice blog

Edward said...

You could plot the 95% confidence bounds or +/- 1 or 2 sd curves. Highlights the distribution, but not too crowded of a plot.

Here's a couple of random examples from Google images:
One
Two

- Edward