Nature of the Volcano Transition in the Fully Disordered Kuramoto Model
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916235899305984 |
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| author | Prüser, Axel Rosmej, Sebastian Engel, Andreas |
| author_facet | Prüser, Axel Rosmej, Sebastian Engel, Andreas |
| contents | Randomly coupled phase oscillators may synchronize into disordered patterns of collective motion. We analyze this transition in a large, fully connected Kuramoto model with symmetric but otherwise independent random interactions. Using the dynamical cavity method we reduce the dynamics to a stochastic single-oscillator problem with self-consistent correlation and response functions that we study analytically and numerically. We clarify the nature of the volcano transition and elucidate its relation to the existence of an oscillator glass phase. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_09079 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nature of the Volcano Transition in the Fully Disordered Kuramoto Model Prüser, Axel Rosmej, Sebastian Engel, Andreas Statistical Mechanics Disordered Systems and Neural Networks Dynamical Systems Chaotic Dynamics Randomly coupled phase oscillators may synchronize into disordered patterns of collective motion. We analyze this transition in a large, fully connected Kuramoto model with symmetric but otherwise independent random interactions. Using the dynamical cavity method we reduce the dynamics to a stochastic single-oscillator problem with self-consistent correlation and response functions that we study analytically and numerically. We clarify the nature of the volcano transition and elucidate its relation to the existence of an oscillator glass phase. |
| title | Nature of the Volcano Transition in the Fully Disordered Kuramoto Model |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Dynamical Systems Chaotic Dynamics |
| url | https://arxiv.org/abs/2310.09079 |