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Group size shapes interactions in confined minimal active biological collectives

Denis Horvath1,*, Alena Strejčková2, Zoltán Tomori3, Richard Galajda4, and Gregor Bánó5

  • *Contact author: denis.horvath@upjs.sk

Phys. Rev. E 113, 054414 – Published 20 May, 2026

DOI: https://doi.org/10.1103/577y-67w1

Abstract

We demonstrate that group size reshapes the effective interaction network in confined biological collectives. Using minimal groups of the shrimp Neocaridina davidi (N=2,3,4) as a representative nonequilibrium system, we reconstruct the asymmetric coupling matrix via an inverse asymmetric Ising model. This mapping is physically enabled by thigmotactic behavior, which restricts trajectories to a discrete decision space, allowing for a maximum-entropy description appropriate for steady states characterized by broken detailed balance. Our analysis reveals a structured progression with increasing group size: Mean coupling strength undergoes social screening, while heterogeneity, structural frustration, and nonreciprocal asymmetry emerge as defining architectural features. Group-size identity is encoded in a subspace orthogonal to the global coupling scale and statistical volatility. Furthermore, the eigenvalue spectrum signals a stationary log-probability distribution in which collective rotational order is amplified while statistical barriers between configurations are lowered, thereby expanding the repertoire of accessible states. Confinement thus drives a well-defined architectural transition from simple reciprocal coordination toward a complex, heterogeneous, and nonreciprocal nonequilibrium steady state.

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