Finite-size effects in simulations of self-propelled particles system

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Abstract

We have considered a generalized version of a model consisting of self-propelled particles, where the speed is treated as an independent stochastic variable described by a Gamma-distribution, and the motion direction is adjusted in according to two behavioral rules: repulsion and orientation. We used the finite-size scaling theory to estimate the static critical exponents β, γ and ν as a function of the density ρ. We have obtained different values of the critical exponents for different values of the density ρ.

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Cambui, D. S., Godoy, M., & de Arruda, A. S. (2017). Finite-size effects in simulations of self-propelled particles system. Physica A: Statistical Mechanics and Its Applications, 467, 129–136. https://doi.org/10.1016/j.physa.2016.10.041

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