| Autor: |
Cirto, Leonardo J. L., Lima, Leonardo S., Nobre, Fernando D. |
| Rok vydání: |
2014 |
| Předmět: |
|
| Zdroj: |
Journal of Statistical Mechanics: Theory and Experiment (JSTAT), April 2015, P04012 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1088/1742-5468/2015/04/P04012 |
| Popis: |
A numerical analysis of a one-dimensional Hamiltonian system, composed by $N$ classical localized Heisenberg rotators on a ring, is presented. A distance $r_{ij}$ between rotators at sites $i$ and $j$ is introduced, such that the corresponding two-body interaction decays with $r_{ij}$ as a power-law, $1/r_{ij}^{\alpha}$ ($\alpha \ge 0$). The index $\alpha$ controls the range of the interactions, in such a way that one recovers both the fully-coupled (i.e., mean-field limit) and nearest-neighbour-interaction models in the particular limits $\alpha=0$ and $\alpha\to\infty$, respectively. The dynamics of the model is investigated for energies $U$ below its critical value ($UComment: 16 pages, 7 figures |
| Databáze: |
arXiv |
| Externí odkaz: |
|
