知觉物质的流体动力学：从神经表征到集体运动
Hydrodynamics of perceptual matter: from neural representations to collective motion
- Max Planck Institute of Animal Behavior（马克斯·普朗克动物行为研究所）
- University of Konstanz（康斯坦茨大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文从谐波理论粒子定律推导出非局部动力学与流体动力学理论，揭示知觉通道如何通过扭矩驱动密度不稳定性及模式选择，连接神经感官机制与无对齐集体运动。
AI中文摘要：
邻居的神经表征如何转化为集体的物质行为？谐波理论（HT）将方位表征简化为可追踪到感官敏锐度、决策动力学和交互距离的有符号知觉通道。在此，我们从HT粒子定律推导出一个非局部的动力学和流体动力学理论，无需引入航向对齐。所得场保留了HT的阶次分辨知觉谱，并使每个系数的神经和感官起源保持可见。该理论预测了一种由扭矩驱动的密度不稳定性：HT的直接接近通道使个体转向密度过剩区域，而自推进则将其携带向内。对于各向同性的空间相互作用和正旋转扩散，知觉通道$n$通常首先在空间阶次$k^{2n}$上影响守恒密度，完整的径向变换选择有限的图案波长。两个群体可以共享相同的长波不稳定性阈值，但由于其高阶知觉通道不同，却选择不同的初始图案间距。在起始之后，单粒子连续介质维持一个双向向列柱；一个规定的、对称允许的双流响应将方向不平衡放大为持续的极性流。在一个独特的纯排斥机制中，单粒子计算显示极性输运和平移横向带，后期图案选择对数值输运敏感。该框架将神经和感官机制与连续介质系数、不稳定性和无对齐的集体运动联系起来。
英文摘要：
How do neural representations of neighbors become collective material behavior? Harmonic Theory (HT) reduces bearing representations to signed perceptual channels traceable to sensory acuity, decision dynamics, and interaction distance. Here we derive a nonlocal kinetic and hydrodynamic theory from the HT particle law without introducing heading alignment. The resulting fields retain HT's order-resolved perceptual spectrum and keep the neural and sensory origin of each coefficient visible. The theory predicts a torque-driven density instability: HT's direct-approach channel turns agents toward density excesses, while self-propulsion carries them inward. For isotropic spatial interactions and positive rotational diffusion, perceptual channel $n$ generically first affects conserved density at spatial order $k^{2n}$, and the full radial transforms select finite pattern wavelengths. Two populations can share the same long-wave instability threshold yet select different initial pattern spacings because their higher perceptual channels differ. Beyond onset, the one-particle continuum sustains a bidirectional nematic column; a prescribed, symmetry-allowed two-stream response amplifies a directional imbalance into sustained polar flow. In a distinct pure-repulsion regime, one-particle calculations show polar transport and translating transverse bands, with late pattern selection sensitive to numerical transport. The framework connects neural and sensory mechanisms to continuum coefficients, instabilities, and alignment-free collective motion.
