A Kac-potential treatment of nonintegrable interactions
| dc.creator | Vollmayr-Lee, Benjamin P. | |
| dc.creator | Luijten, Erik | |
| dc.date | 2000-09-03 | |
| dc.date.accessioned | 2026-07-07T02:38:38Z | |
| dc.date.available | 2026-07-07T02:38:38Z | |
| dc.description | We consider d-dimensional systems with nonintegrable, algebraically decaying pairwise interactions. It is shown that, upon introduction of periodic boundary conditions and a long-distance cutoff in the interaction range, the bulk thermodynamics can be obtained rigorously by means of a Kac-potential treatment, leading to an exact, mean-field-like theory. This explains various numerical results recently obtained for finite systems in the context of ``nonextensive thermodynamics,'' and in passing exposes a strong regulator dependence not discussed in these studies. Our findings imply that, contrary to some claims, Boltzmann-Gibbs statistics are sufficient for a standard description of this class of nonintegrable interactions. | |
| dc.description | RevTeX, 8 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0009031 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0009031 | |
| dc.identifier | Phys. Rev. E 63, 031108 (2001) | |
| dc.identifier | doi:10.1103/PhysRevE.63.031108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16741 | |
| dc.subject | Statistical Mechanics | |
| dc.title | A Kac-potential treatment of nonintegrable interactions | |
| dc.type | text |