Critical exponents of a self-propelled particles system

Dorilson S. Cambui, Alberto S. de Arruda and Maurício Godoy

Physica A: Statistical Mechanics and its Applications, 2016, vol. 444, issue C, 582-588

Abstract: The Vicsek model of self-propelled particles is an important tool in the study of the collective motion of live organisms. The model consists of particles that move with a constant velocity and adopt, in a region called the zone of repulsion, the average motion direction of their neighbors disturbed by an external noise. A second-order phase transition from a disordered state, with motion in random directions, to an ordered motion state was observed. In this work, we have estimated, using finite-size scaling arguments, the critical exponents β, γ and ν of the original Vicsek model as a function of parameters important to the model, such as the orientation radius size, density, and velocity modulus. Our results show that the critical exponents depend greatly on these parameters.

Keywords: Self-propelled particles; Collective motion; Finite-size scaling; Phase transition; Critical exponents (search for similar items in EconPapers)
Date: 2016
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:444:y:2016:i:c:p:582-588

DOI: 10.1016/j.physa.2015.10.075

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