Comment on "Application of Finite Size Scaling to Monte Carlo Calculations"

1994 ◽  
Vol 73 (24) ◽  
pp. 3325-3325 ◽  
Author(s):  
A. Patrascioiu ◽  
E. Seiler
Keyword(s):  
Monte Carlo ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Monte Carlo Calculations ◽  
Size Scaling

Finite Size Scaling of Hysteresis Behavior: Monte Carlo Simulation on DIFFOUR Model

2011 ◽  
Vol 425 (1) ◽  
pp. 72-81 ◽  
Author(s):  
Yongyut Laosiritaworn ◽  
Kanokwan Kanchiang ◽  
Rattikorn Yimnirun
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Hysteresis Behavior ◽  
Size Scaling

THE RESTRICTED SPIN MODEL

1990 ◽  
Vol 04 (16) ◽  
pp. 1029-1041
Author(s):  
H.A. FARACH ◽  
R.J. CRESWICK ◽  
C.P. POOLE
Keyword(s):  
Monte Carlo ◽  
Critical Temperature ◽  
Heisenberg Model ◽  
Anisotropy Parameter ◽  
Finite Size ◽  
Universality Class ◽  
Spin Model ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Monte Carlo Calculations

We present a novel anisotropic Heisenberg model in which the classical spin is restricted to a region of the unit sphere which depends on the value of the anisotropy parameter Δ. In the limit Δ→1, we recover the Ising model, and in the limit Δ→0, the isotopic Heisenberg model. Monte Carlo calculations are used to compare the critical temperature as a function of the anisotropy parameter for the restricted and unrestricted models, and finite-size scaling analysis leads to the conclusion that for all Δ>0 the model belongs to the Ising universality class. For small A the critical behavior is clearly seen in histograms of the transverse and longitudinal (z) components of the magnetization.

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