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Diffusion in nonequilibrium two-dimensional crystals.

Ashley Z Guo1, Sam Wilken2, Dov Levine3

  • 1Rutgers University-New Brunswick, Department of Chemical and Biochemical Engineering, Piscataway, New Jersey 08854, USA.

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Summary
This summary is machine-generated.

This study explores a novel dynamical absorbing state model. We found that repulsive interactions between disks can lead to unique self-organization and phase transitions, driven by random repulsive kicks.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Soft Matter Physics

Background:

  • Absorbing state models are crucial for understanding systems with absorbing phases.
  • Understanding phase transitions in systems with only repulsive interactions is complex.
  • Dynamical models with random perturbations offer insights into self-organization.

Purpose of the Study:

  • To investigate the phase behavior of a two-dimensional dynamical absorbing state model of monodisperse disks.
  • To analyze the impact of repulsive interactions and random kicks on system dynamics and ordering.
  • To characterize unconventional phase transitions and compare them to traditional order-disorder transitions.

Main Methods:

  • Development of a two-dimensional dynamical absorbing state model.
  • Simulation of monodisperse disks with repulsive displacement interactions.
  • Analysis of phase transitions driven by a single parameter, maximum random kick size (ε).

Main Results:

  • Identification of a phase diagram with unconventional features.
  • Observation of a transition from a static disordered state to an active hexagonal crystal with ring diffusion.
  • Further transition to an active isotropic liquid state.
  • Demonstration that small ε promotes self-organization, while large ε hinders it.

Conclusions:

  • Repulsive interactions alone can drive rich phase behavior and self-organization in dynamical systems.
  • The observed transitions differ significantly from typical energy-entropy driven order-disorder transitions.
  • The parameter ε uniquely controls self-organization, highlighting a novel mechanism for controlling system states.