Collective movement in alarmed animals groups: A simple model with positional forces and a limited attention field

A.M. Calvão and E. Brigatti

Physica A: Statistical Mechanics and its Applications, 2019, vol. 520, issue C, 450-457

Abstract: We perform a numerical analysis of a recent introduced model for describing collective movement in alarmed animals groups. This model, derived from a position-based interaction and a limited attention field, displays a non-equilibrium phase transition between a crystal-like phase, characterised by a single densely packed cluster of individuals, which occurs for small attention field angles, and a disordered phase, constituted of fragmented clusters, which emerges at large angles. The transition is quantitatively characterised, measuring its critical point and describing its scaling behaviour, which suggests that the nature of the transition is discontinuous. Finally, we study the correlations in the directions of motion, which show strong positive values at short distances. This fact suggests that individuals’ effective perception range goes far beyond the model interaction range.

Keywords: Swarms; Self-organisation; Interacting agent based models; Finite-size scaling (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:520:y:2019:i:c:p:450-457

DOI: 10.1016/j.physa.2019.01.029

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