| Issue |
Europhys. Lett.
Volume 33, Number 2, January II 1996
|
|
|---|---|---|
| Page(s) | 99 - 104 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1996-00305-x | |
| Published online | 01 September 2002 | |
Long-term memory effects in closed random aggregating systems
1
Molecular Modelling of Materials Laboratory,
Institute of Physical Chemistry NRCPS Demokritos,
15310 Ag. Paraskevi, Greece
Faculté des Sciences and
Center for Nonlinear Phenomena and Complex Systems
CP 231, Free University of Brussels,
1050 Brussels, Belgium.
2
Graduate School of Information Sciences,
Tohoku University -
Sendai 980-77, Japan
3
Research Institute of Fracture Technology,
Faculty of Engineering, Tohoku University
Sendai 980-77, Japan.
Received:
13
June
1995
Accepted:
24
November
1995
We study the problem of fractal initial conditions in
closed aggregating systems (no external input).
When the initial distribution of aggregating
particles has a fractal dimension 
, the
number of surviving particles decreases as 
, for 
. Logarithmic corrections are
necessary for 
.
This fractal decay indicates that
in closed aggregating systems
the memory of the initial distribution is always
present in the dynamical exponent which characterizes
the decay of the particle number.
PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 82.20.Db – Statistical theories (including transition state) / 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes
© EDP Sciences, 1996
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