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Arrested states in colloidal fluids with competing interactions: A static replica study.

Jean-Marc Bomont1, Giorgio Pastore2, Dino Costa3

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This study introduces a new theoretical framework for understanding arrested states in fluids with competing interactions. It reveals diverse non-ergodic and ergodic fluid states arising from the interplay of cluster formation and arrest boundaries.

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Area of Science:

  • Theoretical physics
  • Soft matter physics
  • Statistical mechanics

Background:

  • Fluids with competing interactions exhibit complex behaviors, including arrested states.
  • Understanding these non-ergodic states is crucial for fluid dynamics and materials science.

Purpose of the Study:

  • To systematically apply the integral equation replica method to study arrested states in fluids with short-range attractive and long-range repulsive (SALR) interactions.
  • To map phase diagrams and identify the conditions leading to various non-ergodic and ergodic fluid states.

Main Methods:

  • Utilized the integral equation implementation of the replica method.
  • Analyzed the Lennard-Jones-Yukawa model as a prototype SALR fluid.
  • Generated multiple phase diagrams on the density-temperature plane.

Main Results:

  • Presented 11 distinct phase diagrams, detailing cluster-phase boundaries (TC) and arrest loci (TD).
  • Demonstrated how the interplay between TC and TD dictates the emergence of diverse non-ergodic and ergodic states.
  • Identified conditions where ordered microphases can develop within cluster fluids.

Conclusions:

  • The integral equation replica method provides a reliable and effective unified theoretical framework for studying arrested states in SALR fluids.
  • The findings offer insights into the rich variety of fluid phases and their underlying mechanisms.