Persistence at the onset of spatiotemporal intermittency in coupled map lattices

TL;DR

This study investigates the persistence behavior at the transition point of spatiotemporal intermittency in coupled map lattices, revealing a universal persistence exponent consistent with directed percolation models, suggesting broader applicability.

Contribution

It provides the first measurement of the local persistence exponent at the onset of spatiotemporal intermittency in coupled map lattices, supporting universality in directed percolation transitions.

Findings

Persistence exponent theta_l = 1.49 +- 0.02 at the transition

Values closely match stochastic directed percolation models

Evidence supports universality of persistence exponents

Abstract

We study persistence in coupled circle map lattices at the onset of spatiotemporal intermittency, an onset which marks a continuous transition, in the universality class of directed percolation, to a unique absorbing state. We obtain a local persistence exponent of theta_l = 1.49 +- 0.02 at this transition, a value which closely matches values for theta_l obtained in stochastic models of directed percolation. This result constitutes suggestive evidence for the universality of persistence exponents at the directed percolation transition. Given that many experimental systems are modelled accurately by coupled map lattices, experimental measurements of this persistence exponent may be feasible.