Finite-size effects in a population of interacting oscillators
- We consider a large population of globally coupled noisy phase oscillators. In the thermodynamic limit N this system exhibits a nonequilibrium phase transition, at which amacroscopic 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.
Author details: | Stefano Ruffo, Arkadij PikovskijORCiDGND |
---|---|
Publication type: | Article |
Language: | English |
Year of first publication: | 1999 |
Publication year: | 1999 |
Release date: | 2017/03/24 |
Source: | Physical Review / E. - 59 (1999), 2, S. 1633 - 1636 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |