Finite-size scaling of the Ising model in four dimensions

1990 ◽  
Vol 41 (13) ◽  
pp. 9257-9263 ◽  
Author(s):  
Pik-Yin Lai ◽  
K. K. Mon
Keyword(s):  
Ising Model ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Four Dimensions ◽  
Size Scaling

A FINITE-SIZE SCALING STUDY OF THE FOUR-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON

1999 ◽  
Vol 10 (05) ◽  
pp. 875-881 ◽  
Author(s):  
N. AKTEKIN ◽  
A. GÜNEN ◽  
Z. SAĞLAM
Keyword(s):  
Magnetic Susceptibility ◽  
Ising Model ◽  
Cellular Automaton ◽  
Specific Heat ◽  
Finite Size ◽  
Scaling Relations ◽  
Finite Size Scaling ◽  
Critical Temperatures ◽  
Size Scaling ◽  
Creutz Cellular Automaton

The four-dimensional Ising model is simulated on the Creutz cellular automaton with increased precision. The data are analyzed according to the finite-size scaling relations available. The precision of the critical values related to magnetic susceptibility is improved by one digit, but in order to reach to the same precision for those related to the specific heat more simulation runs at the critical temperatures of the finite-size lattices are required.

scholarly journals Finite Size Scaling and “perfect” actions: the three dimensional Ising model

1998 ◽  
Vol 441 (1-4) ◽  
pp. 330-338 ◽  
Author(s):  
H.G. Ballesteros ◽  
L.A. Fernández ◽  
V. Martı́n-Mayor ◽  
A. Muñoz Sudupe
Keyword(s):  
Ising Model ◽  
Three Dimensional ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Size Scaling
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