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Ilian Pihlajamaa1, Lotte S van Gessel1, Corentin C L Laudicina1

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Supercooled liquids exhibit different relaxation dynamics in two and three dimensions due to polydispersity. This study reveals distinct cluster growth mechanisms, challenging previous assumptions about dimensional similarity in glassy systems.

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Area of Science:

  • Condensed matter physics
  • Soft matter physics
  • Statistical mechanics

Background:

  • Supercooled liquids and glasses exhibit complex dynamics.
  • Dimensionality is a key factor influencing system behavior.
  • Previous studies suggested similarities between 2D and 3D dynamics.

Purpose of the Study:

  • To investigate the influence of dimensionality on relaxation dynamics in supercooled liquids.
  • To challenge the assumption of dynamic similarity between 2D and 3D systems.
  • To elucidate the role of polydispersity in driving dimensional differences.

Main Methods:

  • Simulations of supercooled liquids with varying dimensionality.
  • Analysis of relaxation dynamics and particle mobility.
  • Investigation of mobile particle cluster formation and growth.

Main Results:

  • Polydispersity-driven relaxation dynamics differ significantly between 2D and 3D systems.
  • Standard corrections for Mermin-Wagner fluctuations obscure size-dependent relaxation in 2D.
  • 3D systems show sparse, small-particle clusters, while 2D systems exhibit cooperative, size-agnostic rearrangements.

Conclusions:

  • The dynamics of supercooled liquids and glasses are not universally similar across dimensions.
  • Dimensionality plays a crucial role in shaping relaxation mechanisms and cluster behavior.
  • New insights into the fundamental differences between 2D and 3D glassy systems.