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Disordered microphases, often overlooked, are studied using a lattice model. This approach reveals key structural behaviors like gelation and fluid phases without assuming homogeneity.

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Area of Science:

  • Soft Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Periodic microphases from competing interactions are well-studied.
  • Disordered microphases possess rich structures but are less understood.
  • Mean-field theories often oversimplify disordered systems by assuming homogeneity.

Purpose of the Study:

  • To investigate the structural properties of disordered microphases.
  • To develop a theoretical framework that avoids homogeneity assumptions.
  • To understand the relationship between structure, thermodynamics, and phase transitions in disordered systems.

Main Methods:

  • Exact solution of a short-range attractive and long-range repulsive (SALR) model.
  • Utilizing the Bethe lattice to circumvent mean-field homogenization.
  • Analyzing structural and thermal observables.

Main Results:

  • Recapitulation of key disordered microphase regimes, including particle and void cluster fluids.
  • Observation of gelation phenomena within the model.
  • Insights into criticality, percolation, and the connection to glassiness.

Conclusions:

  • The Bethe lattice approach accurately captures complex disordered microphase behaviors.
  • This model provides a framework for understanding the interplay of structure and thermodynamics.
  • The study bridges the gap between ordered and disordered self-assembly phenomena.