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Turbulent route to two-dimensional soft crystals

Mohit Gupta1,2,*, Pinaki Chaudhuri3,†, Jérémie Bec4,5,‡, and Samriddhi Sankar Ray1,§

  • 1International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore 560089, India
  • 2School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA
  • 3The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113, India
  • 4Université Côte d'Azur, Inria, CNRS, Cemef, 06902 Sophia-Antipolis, France
  • 5MINES ParisTech, PSL Research University, CNRS, CEMEF, 06904 Sophia-Antipolis, France

  • *mohit.gupta9607@gmail.com
  • †pinakic@imsc.res.in
  • ‡Also Associate, International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore 560089, India; jeremie.bec@mines-paristech.fr
  • §samriddhisankarray@gmail.com

Phys. Rev. E 106, L062601 – Published 9 December, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.L062601

Abstract

We investigate the effect of a two-dimensional, incompressible, turbulent flow on soft granular particles and show the emergence of a crystalline phase due to the interplay of Stokesian drag and short-range interparticle interactions. We quantify this phase through the bond order parameter and local density fluctuations and find a sharp transition between the crystalline and noncrystalline phases as a function of the Stokes number. Furthermore, the nature of preferential concentration, characterized by the correlation dimension, is significantly different from that of particle-laden flows in the absence of repulsive potentials.

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