Hyperuniformity of critical absorbing states

TL;DR

This paper investigates the hyperuniformity of absorbing states at criticality in non-equilibrium models, revealing anomalously small density fluctuations and proposing a new correlation length, with potential implications for photonic materials.

Contribution

It demonstrates that absorbing states at the critical point are hyperuniform and introduces a new correlation length related to this ordering.

Findings

Absorbing states are hyperuniform at criticality.

A numerical measurement of the fluctuation exponent is provided.

A new correlation length associated with hyperuniformity is proposed.

Abstract

The properties of the absorbing states of non-equilibrium models belonging to the conserved directed percolation universality class are studied. We find that at the critical point the absorbing states are hyperuniform, exhibiting anomalously small density fluctuations. The exponent characterizing the fluctuations is measured numerically, a scaling relation to other known exponents is suggested, and a new correlation length relating to this ordering is proposed. These results may have relevance to photonic band-gap materials.