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We introduce a new model for glass-forming liquids, allowing a continuous transition to a mean-field model by adding pseudo-neighbors. Increasing these neighbors slows dynamics and makes the system more mean-field-like, impacting relaxation behavior.

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Area of Science:

  • Condensed matter physics
  • Computational physics

Background:

  • Understanding glass-forming liquids is crucial for materials science.
  • Mean-field models offer simplified descriptions of complex systems.

Purpose of the Study:

  • To develop a novel model for glass-forming liquids.
  • To investigate the transition from 3D liquid to mean-field behavior.
  • To analyze the impact of augmented particle interactions on liquid dynamics.

Main Methods:

  • Developed a new model by introducing 'k' additional particle-particle interactions (pseudo-neighbors).
  • Employed computer simulations to study liquid structure and dynamics.
  • Utilized analytical calculations to determine structural properties.

Main Results:

  • Liquid structure remains unchanged with pseudo-neighbors.
  • Relaxation dynamics significantly slow down as 'k' increases.
  • Onset and mode-coupling temperatures rise with increasing 'k'.
  • Systems with higher 'k' exhibit mode-coupling theory power law over a wider temperature range.
  • Dynamic heterogeneity decreases with increasing 'k', while the non-Gaussian parameter is unaffected.

Conclusions:

  • Increasing pseudo-neighbors drives the system towards mean-field-like behavior.
  • The method of approaching the mean-field limit influences dynamical outcomes.
  • This model provides a new perspective on glass-forming liquid dynamics and phase transitions.