scholarly journals Stretched exponential decay in a kinetic Ising model with dynamical constraint

1989 ◽  
Vol 125 (1) ◽  
pp. 3-12 ◽  
Author(s):  
Herbert Spohn
1996 ◽  
Vol 07 (01) ◽  
pp. 89-97 ◽  
Author(s):  
PETER GRASSBERGER

Using Monte Carlo techniques, we study the decay of magnetization in diluted two-dimensional Ising models at and below the critical temperature Tc of the undiluted Ising model, but above the critical temperature of the diluted system. Using damage spreading (or rather damage "healing"), we are able to measure down to much lower final magnetizations (10–9) and to much larger times than previous authors. Nevertheless, we do not yet find the predicted asymptotic behavior in the Griffiths phase T < Tc. But we can at least exclude a stretched exponential decay as found in previous papers, for T < Tc. Finally, we discuss the case T = Tc where a stretched exponential decay can be proven to hold, at least for p < pc. We indeed do see a stretched exponential for p = pc (and T = Tc), but we show that it cannot describe the asymptotic behavior either.


1998 ◽  
Vol 105 (9) ◽  
pp. 571-575 ◽  
Author(s):  
K. Suzuki ◽  
G. Bley ◽  
U. Neukirch ◽  
J. Gutowski ◽  
N. Takojima ◽  
...  

1999 ◽  
Vol 166 (1-6) ◽  
pp. 189-198 ◽  
Author(s):  
Eugene G Novikov ◽  
Arie van Hoek ◽  
Antonie J.W.G Visser ◽  
Johannes W Hofstraat

2006 ◽  
Vol 432 (1-3) ◽  
pp. 371-374 ◽  
Author(s):  
Ophir Flomenbom ◽  
Johan Hofkens ◽  
Kelly Velonia ◽  
Frans C. de Schryver ◽  
Alan E. Rowan ◽  
...  

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