Program

P.15 -- Poster, IWTCP-3

Date: Wednesday, 29 July 2015

Time: 08h30 - 10h00

A New Model for the Collective Behavior of Animals

P. The Nguyen(a), V. Thanh Ngo(b) and H. T. Diep(c)

a. Department of Natural Science, Duytan University, K7/25 Quang Trung, Haichau, Danang, Vietnam b. Institute of Physics - Vietnam Academy of Science and Technology, 10 Daotan, Ngoc Khanh, Badinh, Hanoi, Vietnam. c. Laboratoire de Physique Th´eorique et Mod´elisation, Universit´e de Cergy-Pontoise, CNRS, UMR 8089, 2 Avenue Adolphe Chauvin, F-95302 Cergy-Pontoise Cedex, France.

We propose a new model in order to study behaviors of self-organized system such as a group of animals. We assume that the individuals have two degrees of freedom corresponding one to their internal state and the other to their external state. The external state is characterized by its moving orientation. The rule of the interaction between the individuals is determined by the internal state which can be either in the non-excited state or in the excited state. The system is put under a source of external perturbation called “noise”. To study the behavior of the model with varying noise, we use the Monte-Carlo simulation technique. The result clearly shows two first-order transitions separating the system into three phases: with increasing noise, the system undergoes a phase transition from a frozen dilute phase to an ordered compact phase and then to the disordered dispersed phase. These phases correspond to behaviors of animals: uncollected state at low noise, flocking at medium noise and runaway at high noise, respectively.

Presenter: Nguyễn Phước Thể