scholarly journals Infinitesimal incommensurate stripe phase in an axial next-nearest-neighbor Ising model in two dimensions

2001 ◽  
Vol 65 (2) ◽  
Author(s):  
Takashi Shirahata ◽  
Tota Nakamura
Keyword(s):  
Ising Model ◽  
Nearest Neighbor ◽  
Two Dimensions ◽  
Stripe Phase

The Glauber and Metropolis Transition Rates on the Stationary States of the Ising Model

1997 ◽  
Vol 11 (13) ◽  
pp. 565-570
Author(s):  
G. L. S. Paula ◽  
W. Figueiredo
Keyword(s):  
Ising Model ◽  
Nearest Neighbor ◽  
Mean Field ◽  
Field Approximation ◽  
Two Dimensions ◽  
Mean Field Approximation ◽  
Stationary States ◽  
Transition Rates ◽  
The Mean ◽  
The One

We have applied the Glauber and Metropolis prescriptions to investigate the stationary states of the Ising model in one and two dimensions. We have employed the formalism of the master equation to follow the evolution of the system towards the stationary states. Although the Glauber and Metropolis transition rates lead the system to the same equilibrium states for the Ising model in the Monte Carlo simulations, we show that they can predict different results if we disregard the correlations between spins. The critical temperature of the one-dimensional Ising model cannot even be found by using the Metropolis algorithm and the mean field approximation. However, taking into account only correlations between nearest neighbor spins, the resulting stationary states become identical for both Glauber and Metropolis transition rates.

scholarly journals Domain state of the axial next-nearest-neighbor Ising model in two dimensions

2017 ◽  
Vol 95 (17) ◽  
Author(s):  
Fumitaka Matsubara ◽  
Takayuki Shirakura ◽  
Nobuo Suzuki
Keyword(s):  
Ising Model ◽  
Nearest Neighbor ◽  
Two Dimensions ◽  
Domain State

FERRIMAGNETISM IN TWO-DIMENSIONAL MIXED-SPIN ISING MODEL

2000 ◽  
Vol 14 (20) ◽  
pp. 749-758 ◽  
Author(s):  
BEATRIZ BOECHAT ◽  
R. FILGUEIRAS ◽  
L. MARINS ◽  
CLAUDETTE CORDEIRO ◽  
N. S. BRANCO
Keyword(s):  
Ising Model ◽  
Nearest Neighbor ◽  
Tricritical Point ◽  
Real Space ◽  
Effective Field ◽  
Two Dimensions ◽  
Temperature Phase ◽  
Mixed Spin ◽  
Real Space Renormalization Group ◽  
Antiferromagnetic Ising Model

We investigate the mixed-spin (spin-1/2 and spin-1) antiferromagnetic Ising model in two dimensions through a real-space renormalization group transformation. The model includes nearest and next-nearest neighbor interactions and is suitable to describe ferrimagnetic ordering. We present the finite-temperature phase diagram of the model. The presence of the second-neighbor bonds enlarge the ferrimagnetic phase. Our results do not indicate the existence of a tricritical point, contrary to previous effective-field calculations.

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