Hyperuniformity of Critical Absorbing States

Daniel Hexner and Dov Levine
Phys. Rev. Lett. 114, 110602 – Published 20 March 2015
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Abstract

The properties of the absorbing states of nonequilibrium 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.

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  • Received 6 July 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.110602

© 2015 American Physical Society

Authors & Affiliations

Daniel Hexner1 and Dov Levine1,2

  • 1Department of Physics, Technion, Haifa 32000, Israel
  • 2Initiative for Theoretical Science - CUNY Graduate Center, 365 Fifth Avenue, New York, New York 10016, USA

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Vol. 114, Iss. 11 — 20 March 2015

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