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Condensed Matter > Statistical Mechanics

Title: Natural Swarms in $\bf 3.99$ Dimensions

Abstract: The dynamical critical exponent $z$ of natural swarms is calculated using the renormalization group. To order $\epsilon = 4-d$, a novel fixed point emerges, where both off-equilibrium activity and mode-coupling inertial interactions are relevant. In three dimensions the critical exponent at the new fixed point is $z=1.3$, in fair agreement with experiments.
Comments: 4 pages, 2 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); Biological Physics (physics.bio-ph); Quantitative Methods (q-bio.QM)
Cite as: arXiv:2107.04432 [cond-mat.stat-mech]
  (or arXiv:2107.04432v1 [cond-mat.stat-mech] for this version)

Submission history

From: Mattia Scandolo [view email]
[v1] Fri, 9 Jul 2021 13:26:50 GMT (144kb,D)
[v2] Fri, 17 Dec 2021 17:10:38 GMT (1230kb,D)
[v3] Mon, 19 Dec 2022 14:57:57 GMT (11593kb,AD)

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