Competing alignment and anti-alignment copying interactions suppress long-range polar order in the thermodynamic limit while producing fluctuation-induced structure in finite systems, derived exactly from the microscopic master equation via Fourier expansion and large-N methods.
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Mesoscopic theory of flocking with alignment and anti-alignment copying
Competing alignment and anti-alignment copying interactions suppress long-range polar order in the thermodynamic limit while producing fluctuation-induced structure in finite systems, derived exactly from the microscopic master equation via Fourier expansion and large-N methods.