[gmx-users] Mean square displacement on Log-Log plot?

Kevin Boyd kevin.boyd at uconn.edu
Mon Dec 10 21:57:37 CET 2018


Hi,

If you're reporting a diffusion coefficient, they're probably looking for
you to justify that you're out of the short-time subdiffusive regime. My
experience is in bilayer simulations, where the MSD hits that regime
typically in the time lag range of ~10-20 ns.

For a qualitative estimate of whether you've reached the long timescale
limit, you don't need a log-log plot, you can just eyeball when the MSD
goes linear, and (again in my experience) that's generally sufficient. A
log-log plot may make it easier to see, or catch some subtler trends.

Maybe take a look at "Non-brownian diffusion in lipid membranes:
experiments and simulations", by Metzler, Jeon, and Cherstvy, particularly
some of the later figures look at the extent of subdiffusion with log-log
plots.
https://www.sciencedirect.com/science/article/pii/S0005273616300219

Kevin

On Mon, Dec 10, 2018 at 3:34 PM David van der Spoel <spoel at xray.bmc.uu.se>
wrote:

> Hi,
>
> unusual request, but here goes. I am dealing with a referee to one of my
> papers who is asking for a mean square displacement plots:
>
> "a log-log plot of the MSD vs. time, from which one could judge whether
> the long-time limit subject to multiple collisions and obstructions is
> actually reached."
>
> Any clue what the referee is looking for? References?
>
> Cheers,
> --
> David van der Spoel, Ph.D., Professor of Biology
> Head of Department, Cell & Molecular Biology, Uppsala University.
> Box 596, SE-75124 Uppsala, Sweden. Phone: +46184714205.
>
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