Synchronization in coupled map lattices as an interface depinning

TL;DR

This paper links synchronization transitions in coupled map lattices to interface depinning phenomena, revealing different universality classes depending on the binding dynamics, with implications for understanding critical behavior in complex systems.

Contribution

It introduces an SOS model inspired by CML synchronization, demonstrating how different binding dynamics lead to distinct depinning universality classes.

Findings

Exponential binding leads to directed percolation universality class.

Power-law binding results in multiple critical points.

The model captures diverse depinning behaviors based on binding form.

Abstract

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.