Volume 46, Number 2, April II 1999
|Page(s)||127 - 133|
|Published online||01 September 2002|
Gravitational force distribution in fractal structures
INFM Sezione di Roma 1, Dipartimento di Fisica,
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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.