Scale-free dynamics emerging from information transfer

TL;DR

This paper proposes that information transfer dynamics underlie scale-invariant critical behavior across various systems, demonstrating this through analytical and numerical studies of Ising models and biological evolution models.

Contribution

It introduces a novel mechanism linking information transfer to criticality, supported by analytical solutions and numerical simulations in different models.

Findings

Criticality is achieved in the globally-coupled Ising model.

Scale-invariant behavior observed in 2D Ising and biological models.

Reversible information transfer yields precise criticality.

Abstract

The dynamics based on information transfer is proposed as an underlying mechanism for the scale-invariant dynamic critical behavior observed in a variety of systems. We apply the dynamics to the globally-coupled Ising model, which is analytically tractable, and show that dynamic criticality is indeed attained. Such emergence of criticality is confirmed numerically in the two-dimensional Ising model as well as the globally coupled one and in a biological evolution model. Although criticality is precise only when information transfer is reversible, it may also be observed even in the irreversible case, during the practical time scale shorter than the relaxation time.