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Theory of Reversed Ripening in Active Phase Separating Systems.

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We present a new theory for reversed ripening in active systems, differing from the Lifshitz-Slyosov-Wagner (LSW) theory. This active matter system self-organizes into a monodisperse emulsion, even with growing droplets.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Soft Matter Physics

Background:

  • Passive systems exhibit ripening governed by Lifshitz-Slyosov-Wagner (LSW) theory.
  • Active systems present unique dynamics not fully described by passive system theories.

Purpose of the Study:

  • To develop an analog theory for reversed ripening in active systems.
  • To investigate droplet size distribution dynamics in a minimal ternary emulsion with active reactions.

Main Methods:

  • Derivation of a dynamic theory for droplet size distribution.
  • Modeling a minimal ternary emulsion with one active reaction and one conserved quantity.
  • Analysis of droplet coupling via conserved density in the far field.

Main Results:

  • Coupling of droplets leads to self-organized reversed ripening and a monodisperse emulsion.
  • A novel scaling ansatz is identified for late-time behavior, distinct from LSW theory.
  • Rescaled size distributions exhibit collapse, indicating a stable fixed point in droplet dynamics.

Conclusions:

  • The proposed theory accurately describes reversed ripening in active systems.
  • The findings suggest a universal scaling behavior for active matter systems with reversed ripening.
  • This work offers insights into self-organization and monodispersity in active emulsions.