The Synergistic Route to Stretched Criticality
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866909042811600896 |
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| author | Lucarini, Lorenzo Meloni, Sandro Villegas, Pablo |
| author_facet | Lucarini, Lorenzo Meloni, Sandro Villegas, Pablo |
| contents | Griffiths phases are typically associated with quenched disorder, while frustration gives rise to multistability and spin-glass behavior. Whether extended criticality can arise in other contexts remains an open question. Here, we show that synergistic interactions provide a distinct route to non-conventional critical phenomena. By combining spreading mechanisms that reinforce activity through complementary pathways, we uncover a broad distribution of relaxation rates, leading to Griffiths-like slow dynamics and extended criticality. We demonstrate that this mechanism is robust across networks and emerges both in systems with explicit higher-order interactions and in purely pairwise systems with nonlinear dynamical rules. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_28003 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Synergistic Route to Stretched Criticality Lucarini, Lorenzo Meloni, Sandro Villegas, Pablo Disordered Systems and Neural Networks Statistical Mechanics Adaptation and Self-Organizing Systems Physics and Society Griffiths phases are typically associated with quenched disorder, while frustration gives rise to multistability and spin-glass behavior. Whether extended criticality can arise in other contexts remains an open question. Here, we show that synergistic interactions provide a distinct route to non-conventional critical phenomena. By combining spreading mechanisms that reinforce activity through complementary pathways, we uncover a broad distribution of relaxation rates, leading to Griffiths-like slow dynamics and extended criticality. We demonstrate that this mechanism is robust across networks and emerges both in systems with explicit higher-order interactions and in purely pairwise systems with nonlinear dynamical rules. |
| title | The Synergistic Route to Stretched Criticality |
| topic | Disordered Systems and Neural Networks Statistical Mechanics Adaptation and Self-Organizing Systems Physics and Society |
| url | https://arxiv.org/abs/2604.28003 |