First-order like phase transition induced by quenched coupling disorder
| العنوان: | First-order like phase transition induced by quenched coupling disorder |
|---|---|
| المؤلفون: | Hyunsuk Hong, Erik Andreas Martens |
| المصدر: | Chaos (Woodbury, N.Y.). 32(6) |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Applied Mathematics, FOS: Physical sciences, General Physics and Astronomy, Statistical and Nonlinear Physics, Adaptation and Self-Organizing Systems (nlin.AO), Nonlinear Sciences - Adaptation and Self-Organizing Systems, Mathematical Physics |
| الوصف: | We investigate the collective dynamics of a population of XY model-type oscillators, globally coupled via non-separable interactions that are randomly chosen from a positive or negative value, and subject to thermal noise controlled by temperature $T$ . For a finite ratio of positive versus negative coupling, we find that the system at $T = 0$ exhibits a discontinuous, first-order like phase transition from the incoherent to the fully coherent state. We determine the critical threshold for this synchronization transition using a linear stability analysis for the fully coherent state and a heuristic stability argument for the incoherent state. Our theoretical results are supported by extensive numerical simulations which clearly display a first order like transition. Remarkably, the synchronization threshold induced by the type of random coupling considered here is identical to the one found in studies which consider uniform input or output strengths for each oscillator node [Hong and Strogatz, Phys. Rev. E 84, 046202 (2011); H. Hong and S. H. Strogatz, Phys. Rev. Lett. 106, 054102 (2011)]. When thermal noise is present, $T > 0$, the transition from incoherence to the partial coherence is continuous and the critical threshold is now larger compared to the deterministic case, T = 0. We formulate an exact mean-field theory applicable to heterogeneous network structures, based on recent work for the stochastic Kuramoto model using graphon objects representing graphs in the mean-field limit. Applying stability results for the incoherent solution, we derive an exact formula for the synchronization threshold for $T > 0$. In the limit $T \rightarrow 0$ we retrieve the result for the deterministic case with $T = 0$. |
| تدمد: | 1089-7682 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04cc5c19ab06aa6325a16f6219df589a https://pubmed.ncbi.nlm.nih.gov/35778126 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....04cc5c19ab06aa6325a16f6219df589a |
| قاعدة البيانات: | OpenAIRE |
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