Phase transitions and critical characteristics in the layered antiferromagnetic Ising model with next-nearest-neighbor intralayer interactions

JETP Letters ◽  
2015 ◽  
Vol 101 (10) ◽  
pp. 714-718 ◽  
Author(s):  
M. K. Ramazanov ◽  
A. K. Murtazaev
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Nearest Neighbor ◽  
Critical Characteristics ◽  
Antiferromagnetic Ising Model

On phase transitions in the antiferromagnetic ising model

1972 ◽  
Vol 13 (2) ◽  
pp. 1140-1145
Author(s):  
V. Ya. Krivnov ◽  
B. N. Provotorov ◽  
M. E. Sarychev
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Antiferromagnetic Ising Model

Phase transitions of a nearest-neighbor Ising-model spin glass

1976 ◽  
Vol 14 (5) ◽  
pp. 2142-2152 ◽  
Author(s):  
K. Binder ◽  
K. Schröder
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Spin Glass ◽  
Nearest Neighbor

scholarly journals Non-Equilibrium Phase Transitions Induced by Social Temperature In Kinetic Exchange Opinion Models on Regular Lattices

2017 ◽  
Vol 01 (01) ◽  
pp. 1740001 ◽  
Author(s):  
Nuno Crokidakis
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Nearest Neighbor ◽  
Equilibrium Phase ◽  
Critical Dimension ◽  
Point Of View ◽  
Majority Opinion ◽  
Regular Lattices ◽  
Independent Behavior ◽  
Non Equilibrium

In this work, we study the critical behavior of a three-state opinion model in the presence of noise. This noise represents the independent behavior, that plays the role of social temperature. Each agent on a regular [Formula: see text]-dimensional lattice has a probability [Formula: see text] to act as independent, i.e., he can choose his opinion independent of the opinions of his neighbors. Furthermore, with the complementary probability [Formula: see text], the agent interacts with a randomly chosen nearest neighbor through a kinetic exchange. Our numerical results suggest that the model undergoes non-equilibrium phase transitions at critical points [Formula: see text] that depend on the lattice dimension. These transitions are of order–disorder type, presenting the same critical exponents of the Ising model. The results also suggest that the upper critical dimension of the model is [Formula: see text], as for the Ising model. From the social point of view, with increasing number of social connections, it is easier to observe a majority opinion in the population.

PHASE TRANSITIONS OF THE MIXED-SPIN ISING MODEL ON A DECORATED LATTICE WITH THE NEAREST-NEIGHBOR INTERACTION BETWEEN DECORATING SPINS

2009 ◽  
Vol 23 (24) ◽  
pp. 4963-4976 ◽  
Author(s):  
A. BENYOUSSEF ◽  
A. EL KENZ ◽  
M. EL YADARI ◽  
M. LOULIDI
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Phase Diagrams ◽  
Nearest Neighbor ◽  
Mean Field ◽  
Nearest Neighbors ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Neighbor Interaction ◽  
Mixed Spin

A mean-field approximation is developed for a decorated ferrimagnetic Ising model, in which the two magnetic atoms A and B have spins σ=1/2 and S=1, respectively. In this system, the exchange interaction between nearest-neighbors of atom B is taken into account. Some interesting phenomena, such as the appearance of three types of phase diagrams and the existence of one and two compensation points are found. Phase diagrams and temperature dependence of the magnetizations of the system are investigated in detail.

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