2026-04-04T02:24:48Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1578052025-11-19T20:27:56Zcom_2072_1057col_2072_478822col_2072_478917

00925njm 22002777a 4500 dc Flovick, Vegard author Macià Bros, Ferran author Whalstrom, Erik author 2020-04-28T09:47:37Z 2020-04-28T09:47:37Z 2016-09-01 2020-04-28T09:47:37Z The collective dynamics in populations of magnetic spin torque oscillators (STO) is an intensely studied topic in modern magnetism. Here, we show that arrays of STO coupled via dipolar fields can be modeled using a variant of the Kuramoto model, a well-known mathematical model in non-linear dynamics. By investigating the collective dynamics in arrays of STO we find that the synchronization in such systems is a finite size effect and show that the critical coupling for a complete synchronized state scales with the number of oscillators. Using realistic values of the dipolar coupling strength between STO we show that this imposes an upper limit for the maximum number of oscillators that can be synchronized. Further, we show that the lack of long range order is associated with the formation of topological defects in the phase field similar to the two-dimensional XY model of ferromagnetism. Our results shed new light on the synchronization of STO, where controlling the mutual synchronization of several oscillators is considered crucial for applications. Materials ferromagnètics Pel·lícules fines Ferromagnetic materials Thin films Describing synchronization and topological excitations in arrays of magnetic spin torque oscillators through the Kuramoto model