Mixing and displacement in binary two-dimensional condensed phases on a foreign substrate: Mean-field approach and Monte Carlo simulation

1989 ◽  
Vol 40 (1) ◽  
pp. 296-303 ◽  
Author(s):  
François Hommeril ◽  
Boyan Mutaftschiev
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Mean Field ◽  
Condensed Phases ◽  
Two Dimensional ◽  
Field Approach ◽  
Foreign Substrate

FAILURE OF A MEAN-FIELD APPROACH FOR THE MILLER–HUSE PHASE TRANSITION

2000 ◽  
Vol 10 (01) ◽  
pp. 251-256 ◽  
Author(s):  
FRANCISCO SASTRE ◽  
GABRIEL PÉREZ
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Chaotic Maps ◽  
Initial Conditions ◽  
Mean Field ◽  
Region Of Interest ◽  
Universality Class ◽  
Two Dimensional ◽  
Field Approach

The diffusively coupled lattice of odd-symmetric chaotic maps introduced by Miller and Huse undergoes a continuous ordering phase transition, belonging to a universality class close but not identical to that of the two-dimensional Ising model. Here we consider a natural mean-field approach for this model, and find that it does not have a well-defined phase transition. We show how this is due to the coexistence of two attractors in its mean-field description, for the region of interest in the coupling. The behavior of the model in this limit then becomes dependent on initial conditions, as can be seen in direct simulations.

scholarly journals Modeling premartensitic effects inNi2MnGa: A mean-field and Monte Carlo simulation study

1999 ◽  
Vol 60 (10) ◽  
pp. 7071-7084 ◽  
Author(s):  
Teresa Castán ◽  
Eduard Vives ◽  
Per-Anker Lindgård
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Simulation Study ◽  
Mean Field ◽  
Monte Carlo Simulation Study
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