TAILIEUCHUNG - Monte carlo simulation on the phase transition of animal group

In this work, we proposed a new model in order to study the phase transition behaviour of animal group. The individuals in the group are considered as the XY spins which can move freely in a plane with the same speed. For the interactions between every pairs of the individuals, we used the Hamiltonian of the system in the model of spin current with including a long-range Morse potential. | Communications in Physics, Vol. 25, No. 1 (2015), pp. 51-57 DOI: MONTE CARLO SIMULATION ON THE PHASE TRANSITION OF ANIMAL GROUP NGUYEN PHUOC THE Department of Natural Science, Duy Tan University, K7/25 Quang Trung, Hai Chau, Da Nang, Vietnam NGO VAN THANH Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Ngoc Khanh, Ba Dinh, Hanoi, Vietnam Received 08 December 2014 Accepted for publication 28 March 2015 Abstract. In this work, we proposed a new model in order to study the phase transition behaviour of animal group. The individuals in the group are considered as the XY spins which can move freely in a plane with the same speed. For the interactions between every pairs of the individuals, we used the Hamiltonian of the system in the model of spin current with including a long-range Morse potential. Using the Monte-Carlo simulation technique, we obtained the main parameters of the model: the averaged velocity of all individuals which is equivalent to the order parameter or magnetization for the spin model, and the concentration of the individuals. The simulation result clearly shows that the system has three phases which correspond to the uncollected, flocking (schooling) and runaway behaviors at very low, medium and high noise, respectively. The simulation predictions are in good agreement with experimental observations [B. L. Partridge, Sci. Am. 246, (1982) 114]. Keywords: flocking behaviors, phase transition, Monte-Carlo simulation. I. INTRODUCTION One of the most familiar and intriguing examples of many degrees of freedom, non-equilibrium dynamical system is a flocking or schooling behavior, which has been a phenomenon of long standing interest. Well-known examples are found in populations such as large schools of fish, the gatherings of birds, the swarming of ants and the herding of sheep [1–5]. The schooling or flocking is a behavior of some animal species where they stay together in a group for social .

• Vật lý
• Communications in Physics
• Monte carlo simulation
• The phase transition of animal group
• Monte Carlo simulation
• The model of spin current
• Long range Morse potential
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