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Active particle condensation by non-reciprocal and time-delayed interactions

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Abstract.

We consider the flocking of self-propelling agents in two dimensions, each of which communicates with its neighbors within a limited vision-cone. Also, the communication occurs with some time-delay. The communication among the agents are modeled by Vicsek rules. In this study we explore the combined effect of non-reciprocal interaction (induced by limited vision-cone) among the agents and the presence of delay in the interactions on the dynamical pattern formation within the flock. We find that under these two influences, without any position-based attractive interactions or confining boundaries, the agents can spontaneously condense into “drops”. Though the agents are in motion within the drop, the drop as a whole is pinned in space. We find that this novel state of the flock has a well-defined order and it is stabilized by the noise present in the system.

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Authors and Affiliations

  1. Department of Physics, Università degli studi di Trieste, 34127, Trieste, Italy

    Mihir Durve

  2. The Abdus Salam International Centre for Theoretical Physics, 34151, Trieste, Italy

    Mihir Durve

  3. Department of Physics, Savitribai Phule Pune University, 411007, Pune, India

    Arnab Saha & Ahmed Sayeed

Authors
  1. Mihir Durve
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  2. Arnab Saha
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  3. Ahmed Sayeed
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Correspondence to Arnab Saha.

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Durve, M., Saha, A. & Sayeed, A. Active particle condensation by non-reciprocal and time-delayed interactions. Eur. Phys. J. E 41, 49 (2018). https://doi.org/10.1140/epje/i2018-11653-4

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