Hyperuniformity of critical absorbing states
Statistical Mechanics
2015-03-24 v2
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.
Keywords
Cite
@article{arxiv.1407.0146,
title = {Hyperuniformity of critical absorbing states},
author = {Daniel Hexner and Dov Levine},
journal= {arXiv preprint arXiv:1407.0146},
year = {2015}
}