Finite-size scaling of the Domain Wall Entropy for the 2D \pm J Ising Spin Glass
| dc.creator | Fisch, Ronald | |
| dc.date | 2005-08-19 | |
| dc.date | 2006-03-02 | |
| dc.date.accessioned | 2026-07-07T06:41:36Z | |
| dc.date.available | 2026-07-07T06:41:36Z | |
| dc.description | The statistics of domain walls for ground states of the 2D Ising spin glass with +1 and -1 bonds are studied for $L \times L$ square lattices with $L \le 20$, and $x$ = 0.25 and 0.5, where $x$ is the fraction of negative bonds, using periodic and/or antiperiodic boundary conditions. Under these conditions, almost all domain walls have an energy $E_{dw}$ equal to 0 or 4. The probability distribution of the entropy, $S_{dw}$, is found to depend strongly on $E_{dw}$. The results for $S_{dw}$ when $E_{dw} = 4$ agree with the prediction of the droplet model. Our results for $S_{dw}$ when $E_{dw} = 0$ agree with those of Saul and Kardar. In addition, we find that the distributions do not appear to be Gaussian in that case. The special role of $E_{dw} = 0$ domain walls is discussed, and the discrepancy between the prediction of Amoruso, Hartmann, Hastings and Moore and the result of Saul and Kardar is explained. | |
| dc.description | Six pages, extensively revised, submitted to PRB | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0508468 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0508468 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101727 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Finite-size scaling of the Domain Wall Entropy for the 2D \pm J Ising Spin Glass | |
| dc.type | text |