Monte Carlo study of growth in the two-dimensional spin-exchange kinetic Ising model

1988 ◽  
Vol 37 (1) ◽  
pp. 196-208 ◽  
Author(s):  
Jacques G. Amar ◽  
Francis E. Sullivan ◽  
Raymond D. Mountain
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Spin Exchange ◽  
Monte Carlo Study ◽  
Two Dimensional ◽  
Kinetic Ising Model ◽  
Exchange Kinetic

scholarly journals Single-cluster Monte Carlo study of the Ising model on two-dimensional random lattices

1994 ◽  
Vol 49 (14) ◽  
pp. 9644-9657 ◽  
Author(s):  
Wolfhard Janke ◽  
Mohammad Katoot ◽  
Ramon Villanova
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Study ◽  
Two Dimensional ◽  
Random Lattices ◽  
Cluster Monte Carlo ◽  
Single Cluster

DOMAIN GROWTH IN COMPRESSIBLE 2D ISING MODELS UNDERGOING PHASE SEPARATION

2009 ◽  
Vol 20 (09) ◽  
pp. 1325-1333 ◽  
Author(s):  
S. J. MITCHELL ◽  
D. P. LANDAU
Keyword(s):  
Monte Carlo ◽  
Phase Separation ◽  
Ising Model ◽  
Time Domain ◽  
Spin Exchange ◽  
Ising Models ◽  
Domain Growth ◽  
Late Time ◽  
Two Dimensional ◽  
Continuous Particle

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.

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