Jamming in a lattice model of stochastically interacting agents with a field of view

Author: Menon Shakti N.   Bagarti Trilochan   Chakraborty Abhijit  

Publisher: Edp Sciences

E-ISSN: 1286-4854|117|5|50007-50007

ISSN: 0295-5075

Source: EPL (EUROPHYSICS LETTERS), Vol.117, Iss.5, 2017-05, pp. : 50007-50007

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Abstract

We study the collective dynamics of a lattice model of stochastically interacting agents with a weighted field of view. Our assumption is that the stochasticity arises from decisions at the individual level, namely the alignment of an agent's velocity with that of a randomly chosen neighbour in its field of view. Consequently, the strength of noise in the dynamics of an agent, whose movement is subject to exclusion, depends on the density of its local neighbourhood. We find that this system yields a first-order transition in the mean mobility, even for very low density. Furthermore, the critical jamming transition is found to strongly depend on the width of the field of view and the relative preference in velocity alignment.