Universal Long Ranged Correlations in Driven Binary Mixtures.

@article{Poncet2017UniversalLR,
  title={Universal Long Ranged Correlations in Driven Binary Mixtures.},
  author={Alexis Poncet and Olivier B{\'e}nichou and Vincent D{\'e}mery and Gleb Oshanin},
  journal={Physical review letters},
  year={2017},
  volume={118 11},
  pages={
          118002
        }
}
When two populations of "particles" move in opposite directions, like oppositely charged colloids under an electric field or intersecting flows of pedestrians, they can move collectively, forming lanes along their direction of motion. The nature of this "laning transition" is still being debated and, in particular, the pair correlation functions, which are the key observables to quantify this phenomenon, have not been characterized yet. Here, we determine the correlations using an analytical… 
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Building on a minimal model of self-propelled bodies targeting opposite directions, a critical phase transition between a mingled state and a phase-separated lane state specific to active particles is evidence and it is demonstrated that the mingling state displays algebraic structural correlations also found in driven binary mixtures.
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Critical mingling and universal correlations in binary active liquids
Ensembles of driven or motile bodies moving along opposite directions are generically reported to self-organize into strongly anisotropic lanes. We quantitatively elucidate this behavior for binary
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