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Area of Science:

  • Statistical Mechanics
  • Computational Physics
  • Fluid Dynamics

Background:

  • The microcanonical ensemble simulation method was previously limited to discrete systems like the Ising model.
  • Conventional Monte Carlo NVT (MC-NVT) simulations require multiple runs to cover a range of temperatures.

Purpose of the Study:

  • To extend the microcanonical ensemble simulation method to simple fluids.
  • To develop a novel algorithm for fluid simulations with enhanced efficiency.
  • To accurately determine thermodynamic properties of fluids.

Main Methods:

  • Developed a new algorithm measuring transition rates between macroscopic states.
  • Applied the method to a fluid with a square-well (SW) pair potential.
  • Evaluated isochoric heat capacity via numerical derivative.

Main Results:

  • The new algorithm covers a continuous range of temperatures in a single simulation run.
  • Achieved high accuracy in calculating equilibrium internal energies and isochoric heat capacities.
  • Demonstrated the method's effectiveness for discrete-potential systems.

Conclusions:

  • The extended microcanonical ensemble method is a powerful tool for studying simple fluids.
  • This approach offers significant advantages over conventional MC-NVT simulations.
  • The findings pave the way for applying this method to generalized square-well and square-shoulder fluid models.