On some limit theorems related to the phase separation line in the two-dimensional ising model

1979 ◽  
Vol 50 (3) ◽  
pp. 287-315 ◽  
Author(s):  
Yasunari Higuchi
1981 ◽  
Vol 26 (2) ◽  
pp. 313-332 ◽  
Author(s):  
J. Bricmont ◽  
J. L. Lebowitz ◽  
C. E. Pfister

2009 ◽  
Vol 20 (09) ◽  
pp. 1325-1333 ◽  
Author(s):  
S. J. MITCHELL ◽  
D. P. LANDAU

High precision Monte Carlo simulations are used to study domain growth in a compressible two-dimensional spin-exchange Ising model with continuous particle positions and zero total magnetization. For mismatched systems, we measure significant deviations from the theoretically expected late-time domain growth, R(t) = A + Btn with n = 1/3. For a compressible model with no mismatch, we measure only a slight deviation from n = 1/3. Our results indicate that our current understanding of domain growth is incomplete.


1989 ◽  
Vol 50 (3) ◽  
pp. 375-385 ◽  
Author(s):  
H. Fadel ◽  
D. Guillon ◽  
A. Skoulios ◽  
F. Barbarin ◽  
M. Dugay

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