title: Collapse in systems with attractive nonintegrable potentials.
abstract: Collapse, or a gravitational-like phase transition, is found in microcanonical ensembles of particles with an attractive 1/r(alpha) potential not only for alpha = 1 but for all 0<alpha<3. The phase behavior of the system is complex: If an effective sufficiently short-range cutoff is applied, the density of the collapsed phase is finite everywhere; if not, the collapse results in a density singularity. Also, with increasing effective cutoff range, the gravitational phase transition will cross over to a normal first-order phase transition.
authors.affiliation: Center for Studies in Physics and Biology, Rockefeller University, 1230 York Avenue, New York, New York 10021, USA.
authors.forename: I
authors.initials: I
authors.lastname: Ispolatov
authors.forename: E G
authors.initials: EG
authors.lastname: Cohen