Artikel,
New simple properties of a few irregular systems
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 357 (1): 1-17 (2005)International Workshop on Physics Survey of Irregular Systems, Fortaleza, BRAZIL, AUG 15-18, 2004.
DOI: 10.1016/j.physa.2005.05.066
Zusammenfassung
This paper presents seven results on irregular systems that are both new
and can be described simply. The first three results are related to
dynamical and static properties of gradient percolation. Firstly, it is
shown that the transient regimes which lead to self-organized gradient
percolation due to corrosion do not scale like gradient percolation
itself. Secondly, it is shown that there is no diffusion front in 1-D
but there exists a zone of fluctuations with a size of the order of the
system size. Thirdly, the geometry of realistic intermetallic contacts
in 3-D is shown to be closely related to that of diffusion fronts, but
different. The two next results are related to reactive irregular
surfaces. Firstly, molecular dynamics results indicates that, in 2-D,
the size of the active zone of purely absorptive surfaces in the Knudsen
diffusion regime is larger than that found in the molecular diffusion
regime. Secondly, it is then shown that, in this last regime, the
particles that really interacts with the surface, remains near the
surface within a distance equal to the unscreened perimeter length. The
following topic is related to the vibrations of deterministic surface
fractals: with very good approximation, the extended disordered modes
can be described as a superposition of regular (non-localized) trivial
modes of the initiator of the fractal morphology. Finally, it is shown
that the diffusion reorganizedaggregation mechanism may display
transitory fractal states with a life time increasing so rapidly with
the system mass that dynamical equilibrium may never been reached, even
for systems of relatively small size. This could be a simple example of
the so-called ``inherent states''. (c) 2005 Elsevier B.V. All rights
reserved.
