Ah, you’re right, sorry. Yes, diffusion rate works the same in 1D for concentration gradient over time. The difference I was thinking of is that in 1D for an individual molecule a random walk returns to the origin with probability 1, even though avg distance rises over time, while in higher dimensions that isn’t true.
Ah, you’re right, sorry. Yes, diffusion rate works the same in 1D for concentration gradient over time. The difference I was thinking of is that in 1D for an individual molecule a random walk returns to the origin with probability 1, even though avg distance rises over time, while in higher dimensions that isn’t true.
Simple random walks return to the origin in 2D as well, but not 3D or higher. I don’t know if the continuous case is different, but I suspect not.
Then I’m probably just misremembering, it’s been about 15 years since I looked at that one. Thanks!