伊辛自旋系统中的无温度临界性
Criticality without Temperature in an Ising Spin System
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中文总结 AI 辅助
本研究在伊辛系统中引入自适应簇动力学，以静默时间控制连通性，证明无需温度或哈密顿动力学即可产生临界行为，为记忆依赖连通性驱动非平衡临界性提供新途径。
中文摘要 AI 辅助
伊辛模型中的临界性通常由哈密顿动力学产生，并由温度控制。在此，我们展示了一种临界类似行为可以在一个动力学完全独立于伊辛哈密顿量且不含温度类似参数的伊辛系统中涌现。我们引入了一种自适应簇动力学，其中自旋连通性由一个局部静默时间变量控制，即自旋自上次更新以来经过的时间。伊辛哈密顿量仅作为表征所得构型的可观测量进入。随着控制连通强度的参数 $\alpha$ 的变化，系统发生自发对称破缺，伴随强烈的集体涨落。簇尺寸分布发展出一个扩展的幂律区域，在最大尺度处以一个小的有限尺寸凸起终止，而伊辛能量对 $\alpha$ 的变化表现出奇异响应。这些结果表明，仅凭记忆依赖的连通性就能产生集体临界行为，揭示了一条无需基于能量的动力学即可实现非平衡临界性的途径。
英文摘要
Criticality in the Ising model is conventionally generated by Hamiltonian dynamics and controlled by temperature. Here we show that critical like behavior can emerge in an Ising system whose dynamics is completely independent of the Ising Hamiltonian and contains no temperature like parameter. We introduce an adaptive cluster dynamics in which spin connectivity is controlled by a local quiet time variable, the time elapsed since a spin was last updated. The Ising Hamiltonian enters only as an observable characterizing the resulting configurations. As the parameter $α$, controlling the connectivity strength, is varied, the system undergoes spontaneous symmetry breaking accompanied by strong collective fluctuations. The cluster size distribution develops an extended power law regime, terminated by a small finite size hump at the largest scales, while the Ising energy exhibits a singular response to the variation of $α$. These results show that memory dependent connectivity alone can generate collective critical behavior, revealing a route to nonequilibrium criticality without energy based dynamics.
发表机构
- University of Athens（雅典大学）
机构由 AI 辅助整理，请以论文原文为准。
