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.

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 Phase separation in the two-dimensional Hubbard model: A fixed-node quantum Monte Carlo study

1998 ◽  
Vol 58 (22) ◽  
pp. R14685-R14688 ◽  
Author(s):  
A. C. Cosentini ◽  
M. Capone ◽  
L. Guidoni ◽  
G. B. Bachelet
Keyword(s):  
Monte Carlo ◽  
Phase Separation ◽  
Hubbard Model ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensional ◽  
Fixed Node

scholarly journals Generalized Monte Carlo loop algorithm for two-dimensional frustrated Ising models

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
Yuan Wang ◽  
Hans De Sterck ◽  
Roger G. Melko
Keyword(s):  
Monte Carlo ◽  
Ising Models ◽  
Two Dimensional

SHORT TIME CORRELATIONS IN A TWO-DIMENSIONAL ISING MODEL WITH A LINE OF DEFECTS

2001 ◽  
Vol 15 (25) ◽  
pp. 1141-1146 ◽  
Author(s):  
T. TOMÉ ◽  
C. S. SIMÕES ◽  
J. R. DRUGOWICH DE FELÍCIO
Keyword(s):  
Monte Carlo ◽  
Critical Temperature ◽  
Ising Model ◽  
Early Time ◽  
Time Correlation ◽  
Two Dimensional ◽  
Time Dynamics ◽  
Time Correlations ◽  
Time Regime ◽  
Short Time

We study the short time dynamics of a two-dimensional Ising model with a line of defects. The dynamical critical exponent θ associated to the early time regime at the critical temperature was obtained by Monte Carlo simulations. The exponent θ was estimated by a method where the quantity of interest is the time correlation of the magnetization.

Domain Analysis and Magnetic Relaxation in Thin Films

1998 ◽  
Vol 09 (06) ◽  
pp. 821-825 ◽  
Author(s):  
Tatiana G. Rappoport ◽  
F. S. de Menezes ◽  
L. C. Sampaio ◽  
M. P. Albuquerque ◽  
F. Mello
Keyword(s):  
Magnetic Field ◽  
Thin Films ◽  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Magnetic Relaxation ◽  
Film Plane ◽  
Relative Strength ◽  
Two Dimensional ◽  
Magnetic Domains

We have simulated the magnetic relaxation (M(t)) and the nucleation of magnetic domains in the presence of magnetic field in thin films with anisotropy perpendicular to the film plane. We have used Monte Carlo simulations based on the two-dimensional classical Ising model including the long-range dipole–dipole and Zeeman interactions. Domains nucleated during the magnetic relaxation exhibit very rough interfaces. We analyze the roughness and the M(t) as a function of the relative strength of dipole–dipole and Zeeman terms.

A Bayesian analysis of Monte Carlo correlation times for the two-dimensional Ising model

2003 ◽  
Vol 323 ◽  
pp. 487-503 ◽  
Author(s):  
Mihir Arjunwadkar ◽  
Marc Fasnacht ◽  
Joseph B. Kadane ◽  
Robert H. Swendsen
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Bayesian Analysis ◽  
Two Dimensional ◽  
Correlation Times
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