I have a function named generateNoise() which creates a canvas element and paints random RGBA values to it; which, gives the appearance of noise.
You can do it like this:
window.setInterval('generateNoise(.8)',50);
The 2nd arg 50 is a delay in milliseconds. Increasing 50 will slow it down and decreasing visa versa.
though.. this is going to severely affect web page performance. If it were me, I'd do the rendering server-side and render a handful of frame iterations and output as an animated gif. Not quite the same as infinite randomness, but would be a huge performance boost and IMO most people won't even notice.