Abstract

From the evolution of the ancestral cells in two-dimensional soap froth, we find that the ancestral cell mean area $〈{A}_{\mathrm{an}}〉$ decreases and the mean number of edges $〈{n}_{\mathrm{an}}〉$ increases nonlinearly backwards in time. Unlike surviving cells, there is no sign of fixed point for the ancestral cells in our experiment. Also, the normalized mean area $〈{A}_{\mathrm{an}}(t)〉/〈{A}_{\mathrm{an}}{(t}_{f})〉$ and mean number of edges $〈{n}_{\mathrm{an}}(t)〉$ form scaling functions independent of ${t}_{f}>t$ with the normalized mean area $〈A(t)〉/〈{A(t}_{f})〉$ of the whole froth. These results agree with a dynamical simulation for two-dimensional soap froths.

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