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Heterogeneous Vicsek Model

Giordano Fausti

Heterogeneous Vicsek Model.

Rel. Alessandro Pelizzola. Politecnico di Torino, Corso di laurea magistrale in Physics Of Complex Systems (Fisica Dei Sistemi Complessi), 2018

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Abstract:

In this work, I study a variation of the Vicsek model [2] in which a heterogeneity at the noise level is introduced (as proposed by Guisandez et al. [1]). In particular, I study the phase diagram of the system and I show that the latter undergoes the usual liquid-gas phase transition of the Vicsek model, instead of the continuous one that they claim to be present after a tricritical point in their work. These results are just another example of how finite-size effects strongly affect these kinds of models and can lead to wrong results as happened for the original Vicsek model. I conclude studying the properties of the band phase (e.g. I can observe segregation of particles based on their noise level) and introducing an alternative model to implement the heterogeneity.

Relators: Alessandro Pelizzola
Academic year: 2018/19
Publication type: Electronic
Number of Pages: 21
Subjects:
Corso di laurea: Corso di laurea magistrale in Physics Of Complex Systems (Fisica Dei Sistemi Complessi)
Classe di laurea: New organization > Master science > LM-44 - MATHEMATICAL MODELLING FOR ENGINEERING
Ente in cotutela: Université Pierre et Marie Curie (Paris VI) (FRANCIA)
Aziende collaboratrici: UNSPECIFIED
URI: http://webthesis.biblio.polito.it/id/eprint/8985
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