Filatrella G, Pedersen N F, Wiesenfeld K
CNR-INFM SuperMat Salerno and Department of Biological and Environmental Sciences, University of Sannio, Via Port'Arsa 11, I-82100, Benevento, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jan;75(1 Pt 2):017201. doi: 10.1103/PhysRevE.75.017201. Epub 2007 Jan 29.
We propose a modification of the Kuramoto model to account for the effective change in the coupling constant among the oscillators, as suggested by some experiments on Josephson junction, laser arrays, and mechanical systems, where the active elements are turned on one by one. The resulting model is analytically tractable and predicts that both first and second order phase transitions are possible, depending upon the value of a new parameter that tunes the coupling among the oscillators. Numerical simulations of the model are in accordance with the analytical estimates, and in qualitative agreement with the behavior of Josephson junctions coupled via a cavity.
我们提出对Kuramoto模型进行修正，以考虑振荡器之间耦合常数的有效变化，这是一些关于约瑟夫森结、激光阵列和机械系统的实验所表明的，在这些实验中，有源元件是逐个开启的。所得模型在解析上易于处理，并预测一阶和二阶相变都是可能的，这取决于一个调节振荡器之间耦合的新参数的值。该模型的数值模拟与解析估计一致，并且在定性上与通过腔耦合的约瑟夫森结的行为相符。
