Critical Properties of the Synchronization Transition in Space-Time Chaos
- We study two coupled spatially extended dynamical systems which exhibit space-time chaos. The transition to the synchronized state is treated as a nonequilibrium phase transition, where the average synchronization error is the order parameter. The transition in one-dimensional systems is found to be generically in the universality class of the Kardar- Parisi-Zhang equation with a growth-limiting term ("bounded KPZ"). For systems with very strong nonlinearities in the local dynamics, however, the transition is found to be in the universality class of directed percolation.
Author details: | Volker AhlersORCiDGND, Arkadij PikovskijORCiDGND |
---|---|
Publication type: | Article |
Language: | English |
Year of first publication: | 2002 |
Publication year: | 2002 |
Release date: | 2017/03/24 |
Source: | Physical Review Letters. - 88 (2002), 254101 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |