Criticality of nonreciprocal phase oscillators with long-range interactions

2026/06/15 by Minwoo Bae, Hiroshi Kori · 1 voice
#nlin.AO #cond-mat.stat-mech

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Abstract

We study noisy identical Kuramoto-Sakaguchi oscillators with phase lag α∈[0,π/2), where α>0 induces nonreciprocal interactions. Numerical phase diagrams in the (σ, α) plane in fully-connected graphs, formed by long-range weights tuned by σ on d-dimensional lattices, reveal a critical phase lag α_c, below which spontaneous synchronization occurs. This critical phase lag decreases monotonically with σ. We characterize the critical behavior analytically using the dynamical renormalization group theory.

Citations

• The surface statistics of a granular aggregate

Discussions

• Minwoo Bae, Hiroshi Kori: Spectral dimension determines criticality in nonreciprocal phase oscillators https://arxiv.org/abs/2606.16427 https://arxiv.org/pdf/2606.16427 https://arxiv.org/html/2606.164 [bsky, 0 points, 0 comments]

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