Discontinuous absorbing transitions host a metastable hyperuniform regime with S(k)∼k^{1.2} in a facilitated Manna model and a conserved Reggeon field theory, arising from nonlinear activation, multiplicative noise, and conserved diffusion.
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Using a Langevin field theory on networks, the authors claim pairwise mechanisms are formally equivalent to higher-order contagion, pairwise terms dominate at coarse scales, and spectral dimension controls the phase transition.
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Metastable Hyperuniformity at Discontinuous Absorbing Transitions
Discontinuous absorbing transitions host a metastable hyperuniform regime with S(k)∼k^{1.2} in a facilitated Manna model and a conserved Reggeon field theory, arising from nonlinear activation, multiplicative noise, and conserved diffusion.