Soap froths as typical disordered cellular structures, exhibiting spatial and temporal evolution, have been studied through their distributions and topological properties. Recently, persistence has been introduced as a non-topological probe to study froth dynamics at different length scales and to view the froth as a two-phase system. Using a direct simulation method, we have investigated virtual phase dynamos in 2D artificial froths with various initial structures corresponding to controlled disorder. In particular, we examine the special case of a defect ring surrounding a central inclusion in a uniform froth, for different percentages of persistent cells, where this geometry permits comparison with shell-theory. It appears that defect location and pattern of cell inclusion in the virtual phase cause considerable variation in the evolutionary Ideaviour, leading to non-universal exponents for the phase dynamics. This is probably explained by the fact that the froth is still in the transient period over simulation lime-scales, rather than achieving the final stage of persistence. However, distinctive patterns of response can be identified for the different froth regions, despite the limitations on system size. © 2002 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Feng, Y., Ruskin, H. J., & Zhu, B. (2002). Virtual phase dynamics for constrained geometries in a soap froth. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2329 LNCS, pp. 399–408). Springer Verlag. https://doi.org/10.1007/3-540-46043-8_40
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