TY - JOUR
T1 - Non-self-averaging in autocorrelations for Potts models on quenched random gravity graphs
AU - Janke, Wolfhard
AU - Johnston, Desmond A.
PY - 2000/4/14
Y1 - 2000/4/14
N2 - We investigate the non-self-averaging properties of the dynamics of Ising, 4-state Potts and 10-state Potts models in single-cluster Monte Carlo simulations on quenched ensembles of planar, trivalent (F3) random graphs, which we use as an example of relevant quenched connectivity disorder. We employ a novel application of scaling techniques to the cumulative probability distribution of the autocorrelation times for both the energy and magnetization in order to discern non-self-averaging. Although the specific results discussed here are for quenched random graphs, the method has quite general applicability.
AB - We investigate the non-self-averaging properties of the dynamics of Ising, 4-state Potts and 10-state Potts models in single-cluster Monte Carlo simulations on quenched ensembles of planar, trivalent (F3) random graphs, which we use as an example of relevant quenched connectivity disorder. We employ a novel application of scaling techniques to the cumulative probability distribution of the autocorrelation times for both the energy and magnetization in order to discern non-self-averaging. Although the specific results discussed here are for quenched random graphs, the method has quite general applicability.
UR - http://www.scopus.com/inward/record.url?scp=0034646499&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/33/14/304
DO - 10.1088/0305-4470/33/14/304
M3 - Article
SN - 0305-4470
VL - 33
SP - 2653
EP - 2662
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 14
ER -