Wy. Tam et al., ANCESTRAL CELLS IN 2-DIMENSIONAL SOAP FROTH, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(6), 1998, pp. 7354-7357
From the evolution of the ancestral cells in two-dimensional soap frot
h, we find that the ancestral cell mean area [A(an)] decreases and the
mean number of edges [n(an)] increases nonlinearly backwards in time.
Unlike surviving cells, there is no sign of fixed point for the ances
tral cells in our experiment. Also, the normalized mean area [A(an)(t)
]/[A(an)(t(f))] and mean number of edges [n(an)(t)] form scaling funct
ions 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 simulati
on for two-dimensional soap froths.