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Bose-Einstein-like condensation in scalar active matter with diffusivity edge.

Ramin Golestanian1

  • 1Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany and Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom.

Physical Review. E
|September 11, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a novel active matter model with a density-dependent diffusivity edge. At a critical effective temperature, systems exhibit a condensation transition, similar to Bose-Einstein condensation.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Active matter systems, driven by intrinsic microscopic activity, show self-organization and have been widely studied.
  • Existing models often use density-dependent diffusivity in mean-field descriptions for active components.
  • The behavior of active matter is complex and requires new models to capture emergent phenomena.

Purpose of the Study:

  • To propose a new class of scalar active matter incorporating a diffusivity edge.
  • To investigate the influence of this diffusivity edge on system dynamics under an external potential.
  • To explore the emergence of phase transitions, specifically condensation, in this active matter system.

Main Methods:

  • Incorporation of a diffusivity edge: diffusivity vanishes when local density exceeds a critical threshold.
  • Analysis of system dynamics under an external potential (harmonic potential used).
  • Definition and manipulation of an effective temperature based on single-particle diffusivity and mobility.

Main Results:

  • The diffusivity edge effectively controls system behavior by altering local density and diffusivity.
  • An external harmonic potential, coupled with the diffusivity edge, allows for behavioral control via effective temperature.
  • A critical effective temperature induces a condensation transition, mirroring Bose-Einstein condensation.

Conclusions:

  • The proposed active matter model with a diffusivity edge offers a new framework for studying self-organization.
  • The system demonstrates a tunable condensation transition, providing insights into emergent collective behavior.
  • The observed condensation shares formal similarities with Bose-Einstein condensation, suggesting universal principles.