![]() Every spin interacts with its n = 2, 3, or 4 nearest neighbors. Here agents are spins, placed at the sites of a square lattice with periodic boundary condition. An even more simpler version of this model has been studied by suppressing the translational degrees of freedom of the agents but retaining their angular motion. Expectedly the crossover time is dependent on the strength of the noise η and diverges as η → 0. On introduction of scalar noise a crossover is observed when the agents cross over from a ballistic motion to a diffusive motion. In this case the entire flock gets fragmented into smaller clusters of different sizes. We have studied another limiting situation when refreshing rate of the interaction zone (IZ) is the fastest. The other state is the “cyclic state” where every individual agent executes a uniform circular motion, and the correlation among the agents guarantees that the entire flock executes a pulsating dynamics i.e., expands and contracts periodically between a minimum and a maximum size of the flock. ![]() One of the two most prominent states is the “single sink state” where the entire flock travels along the same direction maintaining perfect cohesion and coherence. ![]() Using the same prescription for interactions used in the Vicsek model with scalar noise it has been observed that the flock, in absence of the noise, arrives at a number of interesting stationary states. Like birds, these agents travel in open free space where each of them interacts with the first n neighbors determined by the topological distance with a free boundary condition. 2Department of Physics, Birla Institute of Technology and Science, Pilani, IndiaĪ simple model of the two dimensional collective motion of a group of mobile agents has been studied.1Department of Theoretical Sciences, Satyendra Nath Bose National Centre for Basic Sciences, Kolkata, India.Biplab Bhattacherjee 1, Kunal Bhattacharya 2 and S. ![]()
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