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Area of Science:

  • Thermodynamics
  • Quantum Mechanics
  • Fluid Dynamics

Background:

  • Effective potential methods with quantum corrections are standard for fluids with mild quantum effects.
  • Accuracy of current methods declines significantly for fluids with strong quantum effects (e.g., liquid hydrogen and helium).
  • Existing alternatives for strong quantum effects are limited and lack simplicity.

Purpose of the Study:

  • To develop a novel, three-parameter corresponding-states principle applicable to fluids with significant nuclear quantum effects.
  • To enable accurate thermophysical property predictions for quantum fluids using established classical fluid methods.
  • To overcome limitations of current quantum correction methods for hydrogen and helium.

Main Methods:

  • Developed a new corresponding-states principle through a mapping procedure.
  • Modified the repulsive range of classical pair potentials to create conformal quantum-corrected potentials.
  • Utilized effective, mapped intermolecular-potential parameters for classical fluid theories.
  • Presented analytic equations for effective parameters with Mie potential and Feynman-Hibbs corrections.

Main Results:

  • Demonstrated accurate predictions for fluids with mild quantum effects (neon, hydrogen) using literature force fields.
  • Showcased the ability to apply the principle to optimal quantum-corrected potentials by fitting to experimental data for helium and hydrogen.
  • Achieved significantly improved accuracy compared to standard Feynman-Hibbs corrections for quantum fluids.

Conclusions:

  • The new corresponding-states principle effectively extends the applicability of classical fluid methods to quantum regimes.
  • This approach provides a simple yet accurate alternative for describing thermophysical properties of quantum fluids.
  • The method offers a pathway to surpass the accuracy limitations of existing quantum correction techniques.