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This study explores a lattice model where particles adsorb and desorb. Increasing particle density destroys ordering, unlike hard-core systems, and heterogeneity may form glassy structures.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Computational Modeling

Background:

  • Non-equilibrium lattice models are crucial for understanding complex systems.
  • Hard-core systems exhibit entropic ordering, but their behavior under increasing density is well-defined.

Purpose of the Study:

  • To investigate a two-dimensional non-equilibrium lattice model with adsorption and desorption dynamics.
  • To analyze the effect of particle density on ordering phenomena.
  • To explore the emergence of slow dynamics and potential glassy structures in a heterogeneous version of the model.

Main Methods:

  • Simulation of a two-dimensional lattice model.
  • Modeling particle adsorption at empty sites.
  • Modeling particle desorption based on a neighbor threshold.
  • Analysis of model behavior across a range of parameters and particle densities.
  • Introduction of heterogeneity to study complex dynamics.

Main Results:

  • The model exhibits entropic ordering for certain parameters, resembling hard-core systems.
  • Unlike hard-core systems, increasing particle density disrupts the observed ordering.
  • A heterogeneous version of the model displays a slow dynamics regime, suggesting possible glassy structure formation.

Conclusions:

  • The studied lattice model presents unique ordering behavior distinct from hard-core systems, particularly concerning density effects.
  • The emergence of slow dynamics in the heterogeneous model indicates potential for complex, glass-like states.
  • This research contributes to understanding non-equilibrium phenomena and phase transitions in disordered systems.