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True Widom line for a square-well system.

V V Brazhkin1, Yu D Fomin1, V N Ryzhov1

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Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 16, 2014
PubMed
Summary
This summary is machine-generated.

A new van der Waals-like model analytically studies fluid properties and supercritical fluctuations. The Widom line is not a definitive boundary, unlike the dynamic Frenkel line in supercritical regions.

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Area of Science:

  • Thermodynamics
  • Fluid Dynamics
  • Statistical Mechanics

Background:

  • Understanding fluid properties and phase behavior is crucial in thermodynamics.
  • Supercritical fluids exhibit unique properties and complex phase transitions.
  • Analytical models are valuable for studying these complex phenomena.

Purpose of the Study:

  • To propose a novel van der Waals-like model for analytical study of fluid properties.
  • To investigate equation of state, phase behavior, and supercritical fluctuations.
  • To analyze thermodynamic response functions and correlation length.

Main Methods:

  • Development of a van der Waals-like model.
  • Analytical calculation of liquid-gas transition line and supercritical fluctuations for a square-well system.
  • Computation of thermodynamic response functions (isothermal compressibility, isobaric heat capacity, density fluctuations, thermal expansion coefficient) and correlation length.

Main Results:

  • The model successfully allows for purely analytical studies of fluid properties.
  • Calculations for a square-well system reveal the liquid-gas transition line and supercritical fluctuations.
  • The Widom line's extrema widen away from the critical point, questioning its role as a distinct boundary.

Conclusions:

  • The proposed van der Waals-like model provides an effective framework for analytical investigations.
  • The Widom line is not a suitable boundary for distinguishing gas-like and liquid-like regions in supercritical fluids.
  • The Frenkel line is proposed as a more appropriate dynamic boundary for supercritical regions.