Finite-Size Scaling in the Energy-Entropy Plane for the 2D +- J Ising Spin Glass
| dc.creator | Fisch, R. | |
| dc.date | 2005-02-25 | |
| dc.date | 2006-06-23 | |
| dc.date.accessioned | 2026-07-07T07:41:48Z | |
| dc.date.available | 2026-07-07T07:41:48Z | |
| dc.description | For $L \times L$ square lattices with $L \le 20$ the 2D Ising spin glass with +1 and -1 bonds is found to have a strong correlation between the energy and the entropy of its ground states. A fit to the data gives the result that each additional broken bond in the ground state of a particular sample of random bonds increases the ground state degeneracy by approximately a factor of 10/3. For $x = 0.5$ (where $x$ is the fraction of negative bonds), over this range of $L$, the characteristic entropy defined by the energy-entropy correlation scales with size as $L^{1.78(2)}$. Anomalous scaling is not found for the characteristic energy, which essentially scales as $L^2$. When $x= 0.25$, a crossover to $L^2$ scaling of the entropy is seen near $L = 12$. The results found here suggest a natural mechanism for the unusual behavior of the low temperature specific heat of this model, and illustrate the dangers of extrapolating from small $L$. | |
| dc.description | 9 pages, two-column format; to appear in J. Statistical Physics | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0502605 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0502605 | |
| dc.identifier | J. Stat. Phys. 125, 777 (2006) | |
| dc.identifier | doi:10.1007/s10955-006-9164-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122247 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Finite-Size Scaling in the Energy-Entropy Plane for the 2D +- J Ising Spin Glass | |
| dc.type | text |