Monte Carlo Study of the Antiferromagnetic Potts Model in Two Dimensions

1981 ◽  
Vol 46 (22) ◽  
pp. 1458-1461 ◽  
Author(s):  
G. S. Grest ◽  
Jayanth R. Banavar
Keyword(s):  
Monte Carlo ◽  
Potts Model ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Antiferromagnetic Potts Model

Symmetry analysis and Monte Carlo study of a frustrated antiferromagnetic planar (XY) model in two dimensions

1986 ◽  
Vol 33 (1) ◽  
pp. 450-475 ◽  
Author(s):  
D. H. Lee ◽  
J. D. Joannopoulos ◽  
J. W. Negele ◽  
D. P. Landau
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Symmetry Analysis ◽  
Xy Model

Adsorbing trees in two dimensions: A Monte Carlo study

2001 ◽  
Vol 64 (4) ◽  
Author(s):  
S. You ◽  
E. J. Janse van Rensburg
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions

scholarly journals Monte-Carlo Study of the Collective Behavior in Animal Group: A \(q\)-state Potts model

2015 ◽  
Vol 25 (3) ◽  
pp. 203
Author(s):  
Nguyen Phuoc The ◽  
Ngo Van Thanh
Keyword(s):  
Monte Carlo ◽  
Potts Model ◽  
Internal State ◽  
Monte Carlo Study ◽  
External Perturbation ◽  
Animal Group ◽  
Monte Carlo Simulation Technique ◽  
First Order ◽  
Group A ◽  
Transition Behaviour

We study in this work the phase transition behaviour of animal groups. We assume that the individuals in the group have two classes of state. One is the internal state which can be either excited or non-excited. The other one is characterized by their orientation or direction of motion, it is so called the external state.The internal state plays an important role in the rules of interaction between the individuals.The system is put under a source of external perturbation called ``noise", the individuals can freely move from one site to another site on a two-dimension triangular lattice. We use the Monte-Carlo simulation technique for studying the behavior of the model with varying noise. For simplicity, we consider the orientation of individuals which has $q$ states as in the Potts model. We show that the system has three phases which correspond to the uncollected, flocking and runaway behaviors at very low, medium and high noise, respectively. These phases are separated by two first-order transitions.

ORDERING PROBLEM FOR THE ANTIFERROMAGNETIC POTTS MODEL: T=0 MONTE-CARLO STUDIES

1991 ◽  
Vol 05 (19) ◽  
pp. 3061-3071 ◽  
Author(s):  
A.V. BAKAEV ◽  
V.I. KABANOVICH ◽  
A.M. KURBATOV
Keyword(s):  
Monte Carlo ◽  
Long Range ◽  
Potts Model ◽  
Triangular Lattice ◽  
Lattice Models ◽  
Range Order ◽  
Square Lattice ◽  
Long Range Order ◽  
Monte Carlo Studies ◽  
Antiferromagnetic Potts Model

AF Potts model MC dynamics at T=0 is considered. It is shown that q=3 square lattice and q=4 triangular lattice models are frozen for local MC algorithm. The nature of the previously discussed long-range order phases is examined and entropically favored states are considered.

Sign in / Sign up

Export Citation Format

Share Document