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.
Original language | English |
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Article number | 062104 |
Number of pages | 6 |
Journal | Physical Review E |
Volume | 98 |
Issue number | 6 |
Early online date | 5 Dec 2018 |
DOIs | |
Publication status | Published - Dec 2018 |