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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Computational Physics

Background:

  • Understanding the glass transition is crucial for materials science.
  • Hard-sphere models provide a simplified yet powerful framework for studying phase transitions.
  • Polydispersity in particle size significantly impacts the dynamics of glass-forming systems.

Purpose of the Study:

  • To investigate the dynamical-structural phase transition in a 10% polydisperse hard-sphere fluid.
  • To characterize the nature of the transition and the coexistence of distinct dynamical phases.
  • To explore the critical behavior and universality class of the observed transition.

Main Methods:

  • Extensive numerical simulations using event-driven molecular dynamics.
  • Sampling trajectories from a fixed observation time ensemble.
  • Finite-size scaling analysis of exceptionally long trajectories.

Main Results:

  • Identification of a dynamical-structural (active-inactive) phase transition.
  • Observation of coexistence between liquid-like (low order) and glass-like (high order) trajectories.
  • Demonstration of a spatiotemporal interface separating the two phases.
  • Agreement with Binder's scaling theory for first-order transitions.
  • Evidence for a critical point controlling dynamic arrest, with narrowing coexistence regions at higher densities.

Conclusions:

  • The hard-sphere fluid exhibits distinct dynamical phases with a clear phase transition.
  • The transition is characterized by coexistence and a spatiotemporal interface.
  • Critical behavior aligns with the universality class of directed percolation in 3+1 dimensions, suggesting universal mechanisms govern dynamic arrest.