| Issue |
Europhys. Lett.
Volume 46, Number 2, April II 1999
|
|
|---|---|---|
| Page(s) | 127 - 133 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1999-00235-7 | |
| Published online | 01 September 2002 | |
Gravitational force distribution in fractal structures
1
INFM Sezione di Roma 1, Dipartimento di Fisica,
Università
"La Sapienza”
P.le A. Moro 2, I-00185 Roma, Italy
2
Dipartimento di Fisica,
Università degli Studi "Tor Vergata”
V.le della Ricerca Scientifica 1, 00133 Roma, Italy
3
Département de Physique Théorique,
Université de Genève
24, Quai E. Ansermet,
CH-1211 Genève, Switzerland
Received:
23
September
1998
Accepted:
29
January
1999
We study the (Newtonian) gravitational force distribution
arising from a fractal set of sources.
We show that, in the case of
real structures in finite samples, an important role
is played by morphological properties
and finite-size effects.
For dimensions smaller than 
(being d the space dimension)
the convergence of the net gravitational
force is assured by the fast decaying of the density,
while for fractal dimension 
the morphological
properties of the structure
determine the eventual convergence of the force
as a function of distance. We clarify the role
played by the cut-offs of the distribution.
Some cosmological implications are discussed.
PACS: 05.20.-y – Classical statistical mechanics / 98.65.-r – Galaxy groups, clusters, and superclusters; large scale structure of the Universe
© EDP Sciences, 1999
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