We consider a large population of globally coupled noisy phase oscillators. In the thermodynamic limit N-->infinity this system exhibits a nonequilibrium phase transition, at which a macroscopic mean field appears. It is shown that for large but finite system size N the system can be described by the noisy Stuart-Landau equation, yielding scaling behavior of statistical characteristics of the macroscopic mean field with N. The predictions of the theory are checked numerically. [S1063-651X(99)03802-7].
Finite-size effects in a population of interacting oscillators / A., Pikovsky; Ruffo, Stefano. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 59:2(1999), pp. 1633-1636. [10.1103/PhysRevE.59.1633]
Finite-size effects in a population of interacting oscillators
Ruffo, Stefano
1999-01-01
Abstract
We consider a large population of globally coupled noisy phase oscillators. In the thermodynamic limit N-->infinity this system exhibits a nonequilibrium phase transition, at which a macroscopic mean field appears. It is shown that for large but finite system size N the system can be described by the noisy Stuart-Landau equation, yielding scaling behavior of statistical characteristics of the macroscopic mean field with N. The predictions of the theory are checked numerically. [S1063-651X(99)03802-7].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
