Diffusion Constants near the Critical Point for Time-Dependent Ising Models. I

1966 ◽  
Vol 145 (1) ◽  
pp. 224-230 ◽  
Author(s):  
Kyozi Kawasaki
Keyword(s):  
Critical Point ◽  
Ising Models ◽  
Time Dependent ◽  
Diffusion Constants

TIME-DEPENDENT CRITICAL PROPERTIES FROM “DAMAGE SPREADING”

Fractals ◽  
1993 ◽  
Vol 01 (03) ◽  
pp. 722-726
Author(s):  
NAEEM JAN
Keyword(s):  
Correlation Function ◽  
Scaling Function ◽  
Direct Determination ◽  
Ising Models ◽  
Time Dependent ◽  
Critical Properties ◽  
Damage Spreading ◽  
Exact Relations ◽  
Dependent Correlation

“Damage spreading” is a useful tool for determining equilibrium thermal properties from Monte Carlo simulations of Ising models. Formal exact relations relate static equilibrium properties, e.g. the correlation function, to the equilibrium damage. Similar exact relations also relate the time-dependent correlation function to the time-dependent damage. However, some results such as the direct determination of the characteristic time, τ, from damage spreading appear to be at odds with that reported in the literature by more traditional models. We show that some of these discrepancies, but not all, may be resolved by taking the appropriate scaling function into account.

scholarly journals Critical Fluctuations of Time-Dependent Magnetization in Ordering Processes near the Disorder-Induced Critical Point

2008 ◽  
Author(s):  
Hiroki Ohta ◽  
Shin-ichi Sasa ◽  
Michio Tokuyama ◽  
Irwin Oppenheim ◽  
Hideya Nishiyama
Keyword(s):  
Critical Point ◽  
Time Dependent ◽  
Critical Fluctuations

Vectorized Monte Carlo simulation of large Ising models near the critical point

1988 ◽  
Vol 37 (10) ◽  
pp. 5444-5447 ◽  
Author(s):  
Masatoshi Mori ◽  
Yoshinori Tsuda
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Point ◽  
Ising Models

Time-dependent critical properties of Ising models by damage spreading

1993 ◽  
Vol 196 (2) ◽  
pp. 188-208 ◽  
Author(s):  
D.L. Hunter ◽  
L. de Arcangelis ◽  
R. Matz ◽  
P.H. Poole ◽  
N. Jan
Keyword(s):  
Ising Models ◽  
Time Dependent ◽  
Critical Properties ◽  
Damage Spreading
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