How does it vary with concentration, temperature, size of atom?
My question is related to diffusion process.
Yes you should be more precise about your question. I can of course guess something like you have H atoms jumping from site to site. This is diffusion. If you mean such process then you can change the jump frequency by changing temperature or even by pressure. You can change the jump frequency by modifying the environment, i.e. by changing structure and composition of the host matrix. I can give you better answer if you state the problem more precisely.
If your diffusion process can be described as transition from one (meta)stable state to another one by overcoming some energy barrier, an Arrhenius equation can be safely used to calculate the rate, so it would be exponentially dependent on temperature.
As for concentration, mass, size - it all depends on the interaction potential (interaction energy) that you consider.
This interaction energy ultimately contributes to the activation barrier for diffusion and hence affect the diffusion coefficient and we know that diffusion coefficient is directly proportional to jump frequency.
So concentration, mass and size has some effect on jump frequency
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