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Liquid-hexatic transition for soft disks.

Yoshihiko Nishikawa1, Werner Krauth2, A C Maggs3

  • 1Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan.

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|September 19, 2023
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Summary
This summary is machine-generated.

This study reveals the liquid-hexatic transition in soft disks. The critical interaction power (m) determines if the transition is continuous or first-order, with findings impacting models like Lennard-Jones.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Computational Physics

Background:

  • The liquid-hexatic phase transition is a key phenomenon in two-dimensional systems.
  • Understanding the influence of interaction potentials on phase transitions is crucial.
  • Previous studies suggested different critical exponents for this transition.

Purpose of the Study:

  • To investigate the liquid-hexatic transition of soft disks using large-scale simulations.
  • To determine the equation of state and its dependence on system size.
  • To identify the critical interaction power (m) governing the transition order.

Main Methods:

  • Utilizing massively parallel simulations for high-performance computing.
  • Analyzing systems with inverse mth power interactions (1/r^m).
  • Calculating the equation of state and phase transition behavior.

Main Results:

  • The liquid-hexatic transition is continuous for m=8 and m=12, but first-order for m=24.
  • The critical power m is found to be higher than previously reported.
  • A continuous transition for m=12 aligns with high-temperature behavior of the 2D Lennard-Jones model.
  • The Weeks-Chandler-Andersen model also exhibits a continuous transition consistent with m=12 soft disks.

Conclusions:

  • The order of the liquid-hexatic transition in soft disks is critically dependent on the interaction potential's decay exponent.
  • This research refines the understanding of phase transitions in 2D systems and provides valuable data for related models.
  • Open-source data and code are provided for reproducibility and further research.