在噪声和惯性存在下整体耦合转子的同步转换：精确结果
Synchronization transitions in globally coupled rotors in presence of noise and inertia: Exact results
摘要：
我们研究了一个通用模型的全球耦合转子，包括噪声的影响，相移的耦合，分布的惯性矩和固有频率的振荡。作为特殊情况，设置包括以前研究的坂口仓本，汉密尔顿和布朗平均场，田中Lichtenberg大石和Acebron-Bonilla-Spigler模型。我们推导出一个精确的解的自洽方程的序参量在稳态，有效的任意参数的动态，并证明非平凡的相变同步，包括重入同步制度。
英文摘要：
We study a generic model of globally coupled rotors that includes the effects of noise, phase shift in the coupling, and distributions of moments of inertia and natural frequencies of oscillation. As particular cases, the setup includes previously studied Sakaguchi-Kuramoto, Hamiltonian and Brownian mean-field, and Tanaka-Lichtenberg-Oishi and Acebrón-Bonilla-Spigler models. We derive an exact solution of the self-consistent equations for the order parameter in the stationary state, valid for arbitrary parameters in the dynamics, and demonstrate nontrivial phase transitions to synchrony that include reentrant synchronous regimes.
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