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- W2337346296 abstract "Abstract The purpose of this paper is the study of the universality of the critical exponents β = 0.45 and δ = 0.35, detected in the Viscek model, under the effect of three zones (repulsion zone, orientation zone and attraction zone). Our aims are to understand more the behavior of non-equilibrium multi-agent system by extending the simple model proposed by Viscek et al. earlier for one zone. In our study, the particles corresponding to agents interact with their neighbors, by choosing at each time step a velocity v a depending on their direction and perturbed by an external noise η . We demonstrate, by fixing the radius R 1 , R 3 and by varying the radius R 2 a phase transition can be obtained from disordered movement of individuals to highly align collective motion. The varied zone of orientation will be important for this research. Our findings confirm that the exponents β and δ depend on the size of orientation strongly indicate the non-universality of these critical exponents. This investigation is performed over different situations via a numerical simulation." @default.
- W2337346296 created "2016-06-24" @default.
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- W2337346296 date "2016-02-01" @default.
- W2337346296 modified "2023-09-27" @default.
- W2337346296 title "Non-universality of critical exponents of a self-propelled particles system" @default.
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- W2337346296 doi "https://doi.org/10.1016/j.cjph.2016.03.011" @default.
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