A Monte Carlo study of the asymmetric clock or chiral Potts model in two dimensions

1982 ◽  
Vol 46 (4) ◽  
pp. 311-318 ◽  
Author(s):  
Walter Selke ◽  
Julia M. Yeomans
Keyword(s):  
Monte Carlo ◽  
Potts Model ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Chiral Potts Model

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

scholarly journals Monte Carlo study of an extended three-state Potts model on the triangular lattice

2003 ◽  
Vol 67 (5) ◽  
Author(s):  
Z. F. Wang ◽  
B. W. Southern ◽  
D. A. Lavis
Keyword(s):  
Monte Carlo ◽  
Potts Model ◽  
Triangular Lattice ◽  
Monte Carlo Study

Quantum Monte Carlo study of a Heisenberg spin system in two dimensions with long-range interactions

2001 ◽  
Vol 89 (11) ◽  
pp. 7329-7331 ◽  
Author(s):  
O. N. Vassiliev ◽  
M. G. Cottam ◽  
I. V. Rojdestvenski
Keyword(s):  
Monte Carlo ◽  
Long Range ◽  
Spin System ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Heisenberg Spin ◽  
Long Range Interactions

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.

Bose-Einstein condensation in two dimensions: A quantum Monte Carlo study

1998 ◽  
Vol 58 (6) ◽  
pp. 4811-4815 ◽  
Author(s):  
Sean Pearson ◽  
Tao Pang ◽  
Changfeng Chen
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein
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