AI 中文总结
研究人员通过一维紧致相位模型，揭示了基于拓扑与对称性的远离平衡拓扑相变机制，确定其普适类为定向渗流（DP），并通过有效场论构建与数值分析验证了该结论。
AI 中文摘要
我们通过一个从随机初始条件确定性演化的一维紧致相位模型，揭示了一种远离平衡拓扑相变的机制。该机制基于拓扑和对称性而非唯象假设：相位紧致性允许涡旋存在，而均匀不动点抑制涡旋成核，该不动点由相移对称性隐含。涡旋诱导的无序化与向均匀性弛豫的竞争驱动了连续非平衡相变，我们确定其普适类为定向渗流（DP）。我们通过构建相应的有效场论并利用动力学标度分析数值确认DP临界标度来证明这一点。
英文摘要
We uncover a mechanism for far-from-equilibrium topological phase transitions, via a one-dimensional compact phase model evolving deterministically from random initial conditions. It rests on topology and symmetry rather than on phenomenological postulates: phase compactness permits vortices, and a homogeneous fixed point suppresses their nucleation, with the fixed point itself implied by phase-shift symmetry. The competition between vortex-induced disordering and relaxation toward homogeneity drives a continuous nonequilibrium transition, whose universality class we identify as directed percolation (DP). We demonstrate this by constructing the corresponding effective field theory and numerically confirming DP critical scaling through dynamical-scaling analysis.
Comments6+2 pages, 6 figures
