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Lagrangian manifestation of anomalies in active turbulence

Rahul K. Singh*, Siddhartha Mukherjee†, and Samriddhi Sankar Ray‡

  • International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore 560089, India

  • *rksphys@gmail.com
  • †siddhartha.m@icts.res.in
  • ‡samriddhisankarray@gmail.com
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Phys. Rev. Fluids 7, 033101 – Published 29 March, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.033101

Abstract

We show that Lagrangian measurements in active turbulence bear imprints of turbulent and anomalous streaky hydrodynamics leading to a self-selection of persistent trajectories—Lévy walks—over diffusive ones. This emergent dynamical heterogeneity results in a super-diffusive first passage distribution which could lead to biologically advantageous motility. We then go beyond single-particle statistics to show that for the pair-dispersion problem as well, active flows are at odds with inertial turbulence. Our study, we believe, will readily inform experiments in establishing the extent of universality of anomalous behaviour across a variety of active flows.

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Phys. Rev. Fluids 7, 033101– Published 29 March, 2022
  • Received 3 December 2021
  • Accepted 8 March 2022
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