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Area of Science:

  • Statistical mechanics
  • Computational physics
  • Materials science

Background:

  • Understanding metastable states is crucial for materials science.
  • Simulating nucleation and phase transitions provides insights into material formation.
  • Previous studies have explored fluid-to-solid transitions under various conditions.

Purpose of the Study:

  • To simulate high-density metastable states using the Monte Carlo method.
  • To investigate the nucleation process from a fluid to a crystalline solid.
  • To explore the possibility of amorphous solid state formation and its characteristics.

Main Methods:

  • Monte Carlo simulations in statistical mechanics.
  • Modeling of high-density fluid systems.
  • Analysis of pair correlation functions.

Main Results:

  • Nucleation to a crystalline solid is possible but limited by system size and periodic boundary conditions.
  • An amorphous solid state was observed.
  • The pair correlation function of the amorphous state shows similarities to random close-packed hard spheres.

Conclusions:

  • The simulations provide evidence for the formation of metastable crystalline and amorphous solid states.
  • System limitations affect crystal perfection in simulations.
  • The observed amorphous state may relate to the formation of glassy states in real systems.