Collapse in $1/r^α$ interacting systems
| dc.creator | Ispolatov, I. | |
| dc.creator | Cohen, E. G. D. | |
| dc.date | 2001-06-19 | |
| dc.date.accessioned | 2026-07-07T02:41:50Z | |
| dc.date.available | 2026-07-07T02:41:50Z | |
| dc.description | Collapse, or a gravitational-like phase transition is studied in a microcanonical ensemble of particles with an attractive $1/r^α$ potential. A mean field continuous integral equation is used to determine a saddle-point density profile that extremizes the entropy functional. For all $0<α<3$, a critical energy is determined below which the entropy of the system exhibits a discontinuous jump. If an effective short-range cutoff is applied, the entropy jump is finite; if not, the entropy diverges to $+\infty$. A stable integral equation solution represents a state with maximal entropy; the reverse is always true only for a modified integral equation introduced here. | |
| dc.description | 9 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0106381 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0106381 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/17901 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Astrophysics | |
| dc.title | Collapse in $1/r^α$ interacting systems | |
| dc.type | text |