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PreprintCC BY 4.0arXiv

Phase synchronization of fish schools through spatial gaps

Abstract

We investigate how sensory coupling mediates phase coherence between spatially separated, confined active systems. Using two fish schools separated by a water-filled transparent gap, we isolate vision as the primary interaction channel. Under boundary confinement, each school's center-of-mass heading exhibits noisy bistable dynamics, spontaneously switching between two antiparallel directions along the partition wall. Turning events in one school bias the orientation of the other, driving distance-dependent phase synchronization. We model this behavior using two coupled stochastic bistable oscillators whose exact solution quantitatively reproduces the empirical results. Our work establishes a precise connection between nonequilibrium active systems and coupled stochastic oscillators, offering insight into boundary-spanning information transfer in living collectives.

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BibTeX
@misc{lamo2026phase,
  title = {{Phase synchronization of fish schools through spatial gaps}},
  author = {Elena G. de Lamo and Óscar Sánchez and M. Carmen Miguel and Romualdo Pastor-Satorras},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01754},
  eprint = {2609.01754},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01754},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phase synchronization of fish schools through spatial gaps
AU  - Elena G. de Lamo
AU  - Óscar Sánchez
AU  - M. Carmen Miguel
AU  - Romualdo Pastor-Satorras
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01754
UR  - https://arxiv.org/abs/2609.01754
AB  - We investigate how sensory coupling mediates phase coherence between spatially separated, confined active systems. Using two fish schools separated by a water-filled transparent gap, we isolate vision as the primary interaction channel. Under boundary confinement, each school's center-of-mass heading exhibits noisy bistable dynamics, spontaneously switching between two antiparallel directions along the partition wall. Turning events in one school bias the orientation of the other, driving distance-dependent phase synchronization. We model this behavior using two coupled stochastic bistable oscillators whose exact solution quantitatively reproduces the empirical results. Our work establishes a precise connection between nonequilibrium active systems and coupled stochastic oscillators, offering insight into boundary-spanning information transfer in living collectives.
ER  -