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Nature of the Volcano Transition in the Fully Disordered Kuramoto Model
Axel Prüser1, Sebastian Rosmej1, Andreas Engel1
1Carl von Ossietzky University Oldenburg, Institut für Physik, D26111 Oldenburg, Germany.
Abstract:
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.
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