Universal, statistically scale-invariant regime in 3D cellular systems

We perform extensive Potts model simulations of 3D dry foam coarsening and we report reaching a scaling state. Starting with 2.25 million bubbles, we have enough time for the transient to end and reach the scaling state; enough time in the scaling state to characterize its properties; and finally, e...

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Bibliographic Details
Published in:Physica A 2006-11, Vol.371 (1), p.67-70
Main Authors: de Almeida, R.M.C, Thomas, G.L., Graner, F.
Format: Article
Language:English
Subjects:
Bubbles
Cellular Potts model
Coarsening
Crystal growth
Foam
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Summary:We perform extensive Potts model simulations of 3D dry foam coarsening and we report reaching a scaling state. Starting with 2.25 million bubbles, we have enough time for the transient to end and reach the scaling state; enough time in the scaling state to characterize its properties; and finally, enough bubbles at the end to avoid spurious finite size effects. In the scaling state, we find that the number of bubbles decreases as t - 1.5 and we obtain a time independent distribution in relative bubble size.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2006.04.075