论文标题
活跃旋转植入的能量成本：羊群过渡时的最大耗散耗散
The energy cost for flocking of active spins: the cusped dissipation maximum at the flocking transition
论文作者
论文摘要
我们研究了活跃的Ising模型中植入植入的能源成本（AIM），并表明除了自行运动的能源成本外，还需要额外的能量耗散才能为旋转的一致性提供动力。我们发现，这种额外的比对耗散以与控制参数相对于控制参数的尖端形式达到了羊群过渡点的最大值。为了理解这种奇异的行为，我们通过分析求解了两个站点AIM模型，并获得了对齐耗散对羊群阶次参数和控制参数的确切依赖性，该参数解释了羊群过渡时的cused耗散最大值。我们的结果揭示了系统的能源成本与其性能之间的权衡，从而通过植入速度和对外部扰动的敏感性来衡量。这种权衡的关系提供了一种新的观点，可以理解自然羊群的动态和设计最佳的人造羊群系统。
We study the energy cost of flocking in the active Ising model (AIM) and show that besides the energy cost for self-propelled motion, an additional energy dissipation is required to power the alignment of spins. We find that this additional alignment dissipation reaches its maximum at the flocking transition point in the form of a cusp with a discontinuous first derivative with respect to the control parameter. To understand this singular behavior, we analytically solve the two- and three-site AIM models and obtain the exact dependence of the alignment dissipation on the flocking order parameter and control parameter, which explains the cusped dissipation maximum at the flocking transition. Our results reveal a trade-off between the energy cost of the system and its performance measured by the flocking speed and sensitivity to external perturbations. This tradeoff relationship provides a new perspective for understanding the dynamics of natural flocks and designing optimal artificial flocking systems.
