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Two-dimensional (2D) colloids exhibit unique phase transitions. Void dynamics and pore size variations reveal insights into the stability of colloidal structures and their complex dynamics near phase transitions.

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Area of Science:

  • Soft matter physics
  • Colloidal systems
  • Phase transitions

Background:

  • Two-dimensional (2D) colloids display complex phase behaviors, including an intermediate hexatic phase between liquid and solid states.
  • Strongly correlated dynamics are observed in hexatic and solid phases of 2D colloids.
  • Understanding the relationship between local structure, dynamics, and voids is crucial for characterizing phase transitions.

Purpose of the Study:

  • To investigate how local structure and dynamics of 2D colloids near phase transitions are reflected in void spatial correlations and dynamics.
  • To explore the role of pore size variation in the stability of topological states.
  • To compare characteristic times to understand the slow and unique dynamics of 2D colloids.

Main Methods:

  • Molecular dynamics simulations of 2D colloids modeled as hard discs.
  • Definition of voids as tangent circles (pores) to three nearest hard discs.
  • Analysis of pore diameter variations, spatial correlation functions, and topological properties.

Main Results:

  • Void disorder, represented by pore diameter variation, decreases sharply with increasing colloid area fraction (ϕ) around the freezing transition (ϕ ≈ 0.7).
  • Spatial correlation functions of pores capture the growth of ordered colloid domains near phase transitions.
  • The topological lifetime of colloids, particularly in six-fold coordinated states, is strongly correlated with local pore size and increases significantly with ϕ.

Conclusions:

  • The stability of topological states in 2D colloids is linked to local pore size variations, with smaller, more ordered pores stabilizing six-fold states.
  • The topological lifetime of six-fold states increases dramatically (approx. 50-fold) across liquid, hexatic, and solid phases.
  • Characteristic times like caging time, topological lifetime, pore lifetime, and translational relaxation time are essential for understanding the slow dynamics of 2D colloidal systems.