From First-Order to Two Continuous Melting Transitions: Monte Carlo Study of a New 2D Lattice-Defect Model

1988 ◽  
Vol 61 (20) ◽  
pp. 2344-2347 ◽  
Author(s):  
W. Janke ◽  
H. Kleinhert
Keyword(s):  
Monte Carlo ◽  
Lattice Defect ◽  
Monte Carlo Study ◽  
Defect Model ◽  
First Order ◽  
Continuous Melting ◽  
Melting Transitions

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.

Sign in / Sign up

Export Citation Format

Share Document