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Pattern formation and phase transition in the collective dynamics of a binary mixture of polar self-propelled particles | | Sagarika Adhikary
; S. B. Santra
; | | Date: |
1 Aug 2022 | | Abstract: | The collective behavior of a binary mixture of polar self-propelled particles
(SPPs) with different motile properties is studied. The binary mixture consists
of slow-moving SPPs (sSPPs) of fixed velocity $v_s$ and fast-moving SPPs
(fSPPs) of fixed velocity $v_f$. These SPPs interact via a short-range
interaction irrespective of their types. They move following certain position
and velocity update rules similar to the Vicsek model (VM) under the influence
of an external noise $eta$. The system is studied at different values of $v_f$
keeping $v_s=0.01$ constant for a fixed density $
ho=0.5$. Different
phase-separated collective patterns that appear in the system over a wide range
of noise $eta$ are characterized. The fSPPs and the sSPPs are found to be
orientationally phase-synchronized at the steady-state. We studied an
orientational order-disorder transition varying the angular noise $eta$ and
identified the critical noise $eta_c$ for different $v_f$. Interestingly, both
the species exhibit continuous transition for $v_f<100v_s$, and discontinuous
transition for $v_f>100v_s$. A new set of critical exponents is determined for
the continuous transitions. However, the binary model is found to be
non-universal as the values of the critical exponents depend on the velocity.
The effect of interaction radius on the system behavior is also studied. | | Source: | arXiv, 2208.00723 | | Services: | Forum | Review | PDF | Favorites | |
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