Non-standard fractal spectrum of a 1D gravitating model

Bruce N Miller and J.l Rouet

Physica A: Statistical Mechanics and its Applications, 2002, vol. 305, issue 1, 266-270

Abstract: A one-dimensional (1D) system obeying the Hubble expansion is studied numerically using an N-body code. The rescaling of both space and time changes the dynamics which, in the rescaled frame, is analogous to the dynamics of a 1D one-component plasma with the addition of a friction term. We start from a homogeneous initial condition but, because of Jeans’ instability, the system enters a non-linear regime and builds a hierarchical structure. Applying a multi-fractal analysis, we show that the density reveals a non-standard fractal spectrum related to a bifractal geometry.

Keywords: Expansion; N-body problem; Hierarchical structure; Cosmology; Numerical simulation (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437101006732
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:305:y:2002:i:1:p:266-270

DOI: 10.1016/S0378-4371(01)00673-2

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().