Understanding Super Diffusion: A Brief Introduction

[Panthera Leo]

What is Super Diffusion?

I just came up with an article talking about "super diffusion", then I searched the net & came upon the wikipedia article on anomalous diffusion which was very short and not descriptive of the physics behind it...

I will highly appreciate any enlightenment :)

Thanks in advance

 

[Mapes]

What's the context? There are multiple situations where the assumptions associated with the diffusion equation break down.

 

[Panthera Leo]

What's the context? There are multiple situations where the assumptions associated with the diffusion equation break down.

This is the article I had found written by the gemological association of all japan:
"[URL
http://www.gaaj-zenhokyo.easystockhosting.com/treatment-blue-sapphire-super-diffusion-tanusorn-filling-treatment-cobalt-coloured-lead-glass


But this article seems to be talking about a simple filling process not diffusion at all...! The interesting part is the headline which I didn't understand...

Why do the equations of diffusion fail for certain situations? & can you please give an example?

Thanks for the reply :)

 

[Mapes]

I looked at the link, and I'm not sure that "super diffusion" has a scientific meaning in this context. It may just be a marketing term.

OK, an example from another field: when people look at small particles (either injected or endogenous) in living cells, they seem to move more than just thermal energy would allow. The excess motion (called "superdiffusive") is caused by the metabolism of the cell.

 

[Panthera Leo]

I see...! Thank you very much indeed :)

Is there any example of superdiffusive effect in crystalline solids, like metals or ceramics?

Thanks again

 

[Mapes]

Dopant diffusion in monocrystalline and polycrystalline silicon has been closely studied due to the importance of doping in the semiconductor industry. Whenever people see any unusual dopant transport, they call it "anomalous diffusion" or sometimes "superdiffusion." But there are myriad possible origins: built-in electric fields, dislocations, very large concentration gradients, etc. I'm not familiar enough to review the mechanisms, but there are review articles out there.

 

[Panthera Leo]

I see!

Thanks a lot Mapes, You've been very helpful :)

 

[oghenez]

Hello Mapes,
am interested in this subject, can you give any reference material to your last post.
thanks

 

[Mapes]

Hello Mapes,
am interested in this subject, can you give any reference material to your last post.
thanks

I have nothing on hand; try Google Scholar, that's what I'd use to start gathering information.