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Area of Science:

  • Condensed Matter Physics
  • Computational Physics
  • Materials Science

Background:

  • Dynamic facilitation (DF) theory explains glass formation by relating structural relaxation to the cooperative motion of particles.
  • Traditional DF theory often focuses on temperature as the control parameter for glass transitions.
  • Investigating DF theory in systems controlled by pressure, such as supercompressed hard disks, is crucial for understanding broader applicability.

Purpose of the Study:

  • To numerically investigate the applicability of dynamic facilitation (DF) theory to binary hard disk systems under supercompression controlled by pressure.
  • To explore the emergence of equilibrium supercompressed states and identify the underlying mechanisms of structural relaxation.

Main Methods:

  • Utilized novel and efficient algorithms specifically designed for hard disk simulations.
  • Generated equilibrium supercompressed states in an additive, nonequimolar binary mixture.
  • Analyzed relaxation times and the characteristics of structural relaxation excitations (soft spots) as a function of pressure.

Main Results:

  • Successfully generated equilibrium supercompressed states without microcrystallization or size segregation at high packing fractions.
  • Observed that relaxation times follow a "parabolic law" with pressure above a critical onset pressure where collective heterogeneous relaxation begins.
  • Identified spatially localized excitations (soft spots) responsible for structural relaxation, with their concentration decaying exponentially with pressure and an energy scale logarithmic in size.

Conclusions:

  • The findings support the applicability of dynamic facilitation (DF) theory to glass-forming systems controlled by pressure.
  • The observed parabolic relationship between relaxation times and pressure, along with the characteristics of soft spots, aligns with DF theory generalized beyond temperature control.