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A new mechanism for dendritic pattern formation in dense systems.

Noriko Oikawa1, Rei Kurita1

  • 1Department of Physics, Tokyo Metropolitan University, Tokyo 192-0397, Japan.

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A new model explains radial dendritic pattern (RDP) formation in dense particle systems. RDPs emerge when attractive forces propagate like a wave, matching the particle aggregation speed.

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Area of Science:

  • Physics
  • Materials Science
  • Chemistry

Background:

  • Patterns in clustered particles are crucial for system properties and functions.
  • Radial dendritic patterns (RDPs) appear in diverse systems like snow, polymers, and biological matter.
  • RDP formation mechanisms in dense particle systems remain poorly understood, with existing models like diffusion-limited aggregation being unsuitable.

Purpose of the Study:

  • To propose and validate a novel model for RDP formation in dense particle systems.
  • To elucidate the conditions necessary for RDP emergence in concentrated suspensions.

Main Methods:

  • A computational model was developed simulating inter-particle interactions.
  • The model incorporates a constant repulsive force and a time- and space-dependent attractive force.
  • The attractive force is triggered by a circular domain expanding at a specific wave front velocity.

Main Results:

  • The model successfully reproduces RDP formation in dense particle systems.
  • RDP formation is contingent upon the wave front velocity of the attractive interaction being comparable to the particle aggregation timescale.
  • This finding contrasts with models applicable only to dilute systems.

Conclusions:

  • The proposed model provides a mechanistic explanation for RDP formation in dense particle systems.
  • The interplay between the speed of attractive force propagation and particle aggregation dynamics is key to RDP emergence.
  • This work offers insights into pattern formation in complex, concentrated materials.