Critical properties of the synchronization transition in space-time chaos

被引:61
作者
Ahlers, V [1 ]
Pikovsky, A [1 ]
机构
[1] Univ Potsdam, Dept Phys, D-14415 Potsdam, Germany
关键词
D O I
10.1103/PhysRevLett.88.254101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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页数:4
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