Synchronization in coupled map lattices as an interface depinning

Details Synchronization in coupled map lattices as an interface depinning Synchronization in coupled map lattices as an interface depinning

2002-12-06

arxiv.org/abs/cond-mat/0212142v2

Physical Review E 68, 056119 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, Phys.Rev.E (in press)

Scientific paper

10.1103/PhysRevE.68.056119

We study an SOS model whose dynamics is inspired by recent studies of the synchronization transition in coupled map lattices (CML). The synchronization of CML is thus related with a depinning of interface from a binding wall. Critical behaviour of our SOS model depends on a specific form of binding (i.e., transition rates of the dynamics). For an exponentially decaying binding the depinning belongs to the directed percolation universality class. Other types of depinning, including the one with a line of critical points, are observed for a power-law binding.

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