Lack of Self Averaging and Finite Size Scaling in Critical Disordered Systems
| dc.creator | Wiseman, S. | |
| dc.creator | Domany, E. | |
| dc.date | 1998-02-09 | |
| dc.date | 1998-02-10 | |
| dc.date.accessioned | 2026-07-07T03:09:56Z | |
| dc.date.available | 2026-07-07T03:09:56Z | |
| dc.description | We simulated site dilute Ising models in $d=3$ dimensions for several lattice sizes $L$. For each $L$ singular thermodynamic quantities $X$ were measured at criticality and their distributions $P(X)$ were determined, for ensembles of several thousand random samples. For $L \to \infty$ the width of $P(X)$ tends to a universal constant, i.e. there is no self averaging. The width of the distribution of the sample dependent pseudocritical temperatures $T_c(i,L)$ scales as $δT_c(L) \sim L^{-1/ν}$ and NOT as $\sim L^{-d/2}$. Finite size scaling holds; the sample dependence of $X_i(T_c)$ enters predominantly through $T_c(i,L)$. | |
| dc.description | 4 pages, 5 figures, typo in title corrected | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9802095 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9802095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28081 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Lack of Self Averaging and Finite Size Scaling in Critical Disordered Systems | |
| dc.type | text |