Coherent-Anomaly Analysis with Cluster Variation Method for Spin-Pair Correlation Function of Ising Model on Square Lattice

1995 ◽  
pp. 263-274
Author(s):  
Kazuyuki TANAKA ◽  
Tsuyoshi HORIGUCHI ◽  
Tohru MORITA
Keyword(s):  
Correlation Function ◽  
Ising Model ◽  
Pair Correlation Function ◽  
Pair Correlation ◽  
Cluster Variation Method ◽  
Square Lattice ◽  
Variation Method ◽  
Spin Pair ◽  
Anomaly Analysis ◽  
Cluster Variation

Phase Field Calculations with CVM Free Energy within Square Approximation

2007 ◽  
Vol 561-565 ◽  
pp. 1935-1940
Author(s):  
Tetsuo Mohri ◽  
Nao Fujihashi ◽  
Ying Chen
Keyword(s):  
Free Energy ◽  
Phase Field ◽  
Stoichiometric Composition ◽  
Sharp Decrease ◽  
Cluster Variation Method ◽  
Field Method ◽  
Phase Field Method ◽  
Square Lattice ◽  
Variation Method ◽  
Cluster Variation

Phase Field Method is combined with the Cluster Variation Method within the square approximation, and the multiscale ordering behavior from atomistic to microstructural evolution process of ordered domains in the two dimensional square lattice is investigated. The transition temperature is determined at 1:1 stoichiometric composition and it is confirmed that the transition is of the second order. The growth process of the ordered domains is visualized and it is revealed that the sharp decrease of the free energy takes place during the process.

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