2017/11/30 by Leandro Guisandez, Guisandez, Leandro, Gabriel Baglietto +3
Physics and Astronomy · #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.1711.11531
11 pages, 6 figures
arxiv created 2018/04/05 · arxiv updated 2018/04/06
We have considered a variation of the Vicsek model with vectorial noise where each one of the agents have their own noise amplitude normally distributed around a mean value, μ, with standard deviation σ. First-order phase transition are observed for standard deviation 0≤σ<σtri≈0.11, whereas for larger values, up to σ=0.3, a continuous phase transition occurs. For values of σ in the interval 0.15≤σ≤0.30 the continuous nature of the observed transition is characterized by means of finite-size scaling techniques, that also allow us to estimate the exponents driving the transition. A study of bands stability suggests that no band can form in this regime. Inspired by biological facts, the perception heterogeneity introduced in the model trough σ, allow us to tune the collective behaviour of the system.