On the microcanonical solution of a system of globally coupled rotators
| dc.creator | Antoni, Mickael | |
| dc.creator | Hinrichsen, Haye | |
| dc.creator | Ruffo, Stefano | |
| dc.date | 1998-10-06 | |
| dc.date | 2000-07-13 | |
| dc.date.accessioned | 2026-07-07T03:11:39Z | |
| dc.date.available | 2026-07-07T03:11:39Z | |
| dc.description | We study the Hamiltonian Mean Field (HMF) model, a system of $N$ fully coupled particles, in the microcanonical ensemble. We use the previously obtained free energy in the canonical ensemble to derive entropy as a function of energy, using Legendre transform techniques. The temperature-energy relation is found to coincide with the one obtained in the canonical ensemble and includes a {\it metastable} branch which represents spatially homogeneous states below the critical energy. "Water bag" states, with removed tails momentum distribution, lying on this branch, are shown to relax to equilibrium on a time which diverges linearly with $N$ in an energy region just below the phase transition. | |
| dc.description | Invited paper to the Denton workshop (April 3-6, 2000). 5 LaTeX pages, 2 figures. To appear in a special issue of "Chaos, Solitons and Fractals" | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9810048 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9810048 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28655 | |
| dc.subject | Condensed Matter | |
| dc.title | On the microcanonical solution of a system of globally coupled rotators | |
| dc.type | text |