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Sticking transition in a minimal model for the collisions of active particles in quantum fluids

Vishwanath Shukla, Marc Brachet, and Rahul Pandit
Phys. Rev. A 94, 041602(R) – Published 19 October 2016
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Abstract

Particles of low velocity, traveling without dissipation in a superfluid, can interact and emit sound when they collide. We propose a minimal model in which the equations of motion of the particles, including a short-range repulsive force, are self-consistently coupled with the Gross-Pitaevskii equation. We show that this model generates naturally an effective superfluid-mediated attractive interaction between the particles; and we study numerically the collisional dynamics of particles as a function of their incident kinetic energy and the length scale of the repulsive force. We find a transition from almost elastic to completely inelastic (sticking) collisions as the parameters are tuned. We find that aggregation and clustering result from this sticking transition in multiparticle systems.

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  • Received 18 March 2016
  • Revised 11 August 2016

DOI:https://doi.org/10.1103/PhysRevA.94.041602

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Atomic, Molecular & Optical

Authors & Affiliations

Vishwanath Shukla1,2,*, Marc Brachet3,†, and Rahul Pandit2,‡

  • 1Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, 24 Rue Lhomond, 75231 Paris, France
  • 2Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore 560012, India
  • 3Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, associé au CNRS et aux Universités Paris VI et VII, 24 Rue Lhomond, 75231 Paris, France

  • *research.vishwanath@gmail.com
  • brachet@physique.ens.fr
  • rahul@physics.iisc.ernet.in; also at Jawaharlal Nehru Centre For Advanced Scientific Research, Jakkur, Bangalore, India.

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Issue

Vol. 94, Iss. 4 — October 2016

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