Directed percolation criticality due to Stochastic switching between Inhibitory and Excitatory Coupling in Coupled Circle maps

TL;DR

This paper investigates a lattice model with stochastic switching between inhibitory and excitatory coupling, revealing a directed percolation phase transition from an absorbing state to chaos, confirmed by critical exponents and scaling laws.

Contribution

It introduces a novel stochastic coupling mechanism in coupled circle maps that leads to directed percolation criticality in spatiotemporal intermittency.

Findings

Identifies a continuous phase transition in the model.

Confirms directed percolation universality class through critical exponents.

Demonstrates stabilization of fixed points via stochastic coupling.

Abstract

We study a lattice model where the coupling stochastically switches between repulsive (subtractive) and attractive (additive) at each site with probability p at every time instance. We observe that such kind of coupling stabilizes the local fixed point of a circle map, with the resultant globally stable attractor providing a unique absorbing state. Interestingly, a continuous phase transition is observed from the absorbing state to spatiotemporal chaos via spatiotemporal intermittency for a range of values of p. It is interesting to note that the transition falls in class of directed percolation. Static and spreading exponents along with relevant scaling laws are found to be obeyed confirming the directed percolation universality class in spatiotemporal intermittency regime.