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arXiv 2608.26919cond-mat.stat-mech

淬灭活性诱导非互易XY模型与表面中的非普适标度

Quenched activity induces nonuniversal scaling in nonreciprocal XY Models and surfaces

Sudip Mukherjee, Abhik Basu

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中文总结 AI 辅助

该研究证明了两类非平衡系统的流体动力学理论等价,预测了非普适标度行为,提出非互易随机键XY模型可通过涡旋增殖无序化。

中文摘要 AI 辅助

活性XY模型与活性表面是两类具有不同微观起源的典型非平衡系统。我们证明,淬灭无序非互易随机键二维XY模型的流体动力学理论,与受淬灭速度切向平流的反演对称活性表面的流体动力学理论完全相同。该理论预测,对于短程无序,XY模型会呈现亚对数相序,而活性表面会呈现亚对数或超对数位置序,且对应的指数为非普适,随无序方差的横向度连续变化。我们进一步指出,非互易随机键XY模型可通过涡旋增殖发生无序化。

英文摘要

Active XY models and active surfaces are two paradigmatic nonequilibrium systems with distinct microscopic origins. We show that the hydrodynamic theories for a quenched-disordered nonreciprocal random bond two-dimensional XY model and an inversion-symmetric active surface tangentially advected by quenched velocities are identical. This theory predicts sub-logarithmic phase order in the XY model and sub- or super-logarithmic positional order in the surface for short-range disorder with nonuniversal exponents, which vary continuously with the degree of transversality of the disorder variance. We argue that the nonreciprocal random bond XY model can disorder through vortex proliferation.

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