arXiv subjects

Joao Lizárraga

Publications and source records attributed to Joao Lizárraga.

2 recordsLinked to original sources

arXiv2026

Collective Turns in Spinless Flocks

Using a minimal aggregation-based model, we address the efficient information transfer observed in natural flocks during collective turns. In our system, the turning signal emitted by a single individual propagates throughout the collective primarily at a constant speed. To characterize the source of this capability, we analyze the system in the continuum limit. Thus, we demonstrate that wave-propagating features arise solely from the non-reciprocal nature of interactions. We explore spectral anomalies that emerge due to this mechanism and provide an explanation through a perturbative analysis. Remarkably, within this scenario, the description of velocity fluctuations is found to follow a structure analogous to a Born approximation. Our model can be extended to study other physical contexts exhibiting polar order, and our arguments can be tested in natural systems.

nlin.AO↗

arXiv2025

Swarming and Flocking Unified Through Aggregation

Natural flocks (aligned) and swarms (non-aligned) both exhibit features of near-criticality, challenging their treatment as two ends of the same phase transition. We present a model for the aggregation of active individuals, in which their velocities align as a byproduct of achieving stable cohesion. In our framework, individuals move in open space and possess differing self-propelling velocities. Furthermore, velocity fluctuations are triggered by individual errors when following the aggregation rules. Notably, the system exhibits scale invariance, which is shown to be rooted in the model's definition -- a feature that we label as structural criticality. Finally, we show the emergence of a striking regime where spatial and orientational coherence decouple. That is, the system can achieve states of high and low polarization while maintaining spatial homogeneity.

nlin.AO↗