发表机构
University of Campania ”Luigi Vanvitelli”（坎帕尼亚路易吉范维特利大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究非互易耦合对有序自旋系统的影响，发现其产生多稳态等非平衡相，并揭示这些现象源自孤立模型的三临界性，建立了连接临界现象与非互易动力学的统一理论框架。
AI 中文摘要
非互易相互作用已成为远离平衡态集体行为的基本驱动力。在此，我们表明，对于孤立动力学倾向于有序态的自旋系统，其非互易耦合（超越了先前识别的振荡（交换）相）产生了更丰富的非平衡现象，包括有序态与无序态共存的多稳态区域，这一场景在平衡态中严格禁止。关键在于，我们表明这种非平衡现象直接继承了底层孤立模型的临界性质。特别是，孤立系统中的三临界性导致了振荡动力学中的多稳态、滞后和硬激发，而非正态相互作用通过产生多稳态进一步丰富了相图。超越平均场理论，我们推导了一个普适场方程，用以描述有限维度中这些非互易振荡的起始。我们的结果建立了一个统一的理论框架，连接了临界现象、动力系统和非互易集体动力学，其应用范围从观点动力学到活性物质。
英文摘要
Nonreciprocal interactions have emerged as a fundamental driver of collective behavior far from equilibrium. Here, we show that nonreciprocal couplings between spin systems whose isolated dynamics favors ordered states, beyond the previously identified oscillatory (swap) phase, give rise to a richer nonequilibrium phenomenology, including a multistable regime where ordered and disordered states coexist, a scenario strictly forbidden in equilibrium. Crucially, we show that this nonequilibrium phenomenology is inherited directly from the critical properties of the underlying isolated model. In particular, tricriticality in the isolated system gives rise to multistability, hysteresis, and hard excitations in the oscillatory dynamics, while non-normal interactions further enrich the phase diagram by generating multistability. Moving beyond mean-field theory, we derive a universal field equation governing the onset of these nonreciprocal oscillations in finite dimensions. Our results establish a unified theoretical framework connecting critical phenomena, dynamical systems, and non-reciprocal collective dynamics, with applications ranging from opinion dynamics to active matter
