| Issue |
Europhys. Lett.
Volume 38, Number 7, June I 1997
|
|
|---|---|---|
| Page(s) | 485 - 490 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1997-00272-8 | |
| Published online | 01 September 2002 | |
Long-time behavior of the survivors' areas
Department of Physics of Complex Systems, Weizmann Institute of Science, IL-Rehovot 76100, Israel
Received:
20
August
1996
Accepted:
24
April
1997
We investigate the long-time
behavior of the survivors' area in the scaling state of two-dimensional
soap froth. We relate this problem to the recently studied temporal decay
of the fraction of Potts spins that have never been flipped till time t.
The results of our topological simulations
are consistent with the value
for the scaling exponent of the
survivors' areas, in agreement with a recently obtained analytical result. We
find, however, that the relaxation time needed to get into the scaling regime
depends on the degree of randomness in the topological rearrangements and
becomes very large in the deterministic limit.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes / 82.70.Rr – Aerosols and foams
© EDP Sciences, 1997
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