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cond-mat.dis-nn2001★ 2 cited
Self-gravitating systems in a three-dimensional expanding Universe
Erik Aurell, Duccio Fanelli
The non-linear evolution of one-dimensional perturbations in a three-dimensional expanding Universe is considered. A general Lagrangian scheme is derived, and compared to two previ…
astro-ph2001★ 11 cited
A one-dimensional toy model of globular clusters
Duccio Fanelli, Marco Merafina, Stefano Ruffo
We introduce a one-dimensional toy model of globular clusters. The model is a version of the well-known gravitational sheets system, where we take additionally into account mass an…
cond-mat.dis-nn2001
Heap-based algorithm for one-dimensional particle systems
Alain Noullez, Duccio Fanelli, Erik Aurell
A fast algorithm to study one-dimensional self-gravitating systems, and, more generally, systems that are Lagrangian integrable between collisions, is presented. The algorithm is e…