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Inverse Ising inference, hyperuniformity, and absorbing states in the Manna model

Research output: Contribution to journalArticle

Original languageEnglish
Article number062104
Number of pages6
JournalPhysical Review E
Volume98
Issue number6
Early online date5 Dec 2018
DOIs
DateAccepted/In press - 15 Jul 2018
DateE-pub ahead of print - 5 Dec 2018
DatePublished (current) - Dec 2018

Abstract

Using inverse Ising inference we show that the absorbing states of the one-dimensional Manna model can be described by an equilibrium model with an emergent interaction displaying short-ranged repulsion and long-ranged attraction. As the model approaches the critical point the interaction becomes purely repulsive, decaying as r-α and we conjecture the exact value α=1/2, suggesting density fluctuations decay as r-3/2. We present a simple Gaussian field theory for the long-distance behavior of critical absorbing states and discuss implications for the Manna universality class.

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