DAMAGE SPREADING IN THE Q-STATE POTTS-MODEL

Citation
Mfd. Bibiano et al., DAMAGE SPREADING IN THE Q-STATE POTTS-MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(2), 1997, pp. 1448-1450
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
55
Issue
2
Year of publication
1997
Pages
1448 - 1450
Database
ISI
SICI code
1063-651X(1997)55:2<1448:DSITQP>2.0.ZU;2-Y
Abstract
Dynamical evolution, in the phase space, of the ferromagnetic q-state Potts model on a square lattice is used in order to study the spread o f damage. Our results obtained by numerical Monte Carlo simulation, up dating the system by a Glauber dynamics, show that this approach is ap propriate to calculate the critical temperature T-c (the same as T-d w here the damage spreads), as well as to indicate the order of the phas e transition (second-order for q less than or equal to q(c) and first- order for q>q(c)). The present simulation on finite systems yields q(c )=7, to be compared with the exact value of q(c)=4 in the thermodynami cal limit.