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Updated: Jan 6, 2026

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
Published on: February 3, 2014
The Widom line in two- and three-dimensional fluids: Similarities and differences.
Yu D Fomin1, E N Tsiok1, V N Ryzhov1
1Vereshchagin Institute of High Pressure Physics, Russian Academy of Sciences, Kaluzhskoe shosse, 14, Troitsk, Moscow 108840, Russia.
Researchers studied supercritical fluids, revealing universal properties across different substances. They mapped the Widom line for 2D fluids and analyzed particle volumes, showing how structure changes with increasing density.
Area of Science:
- Thermodynamics
- Fluid Dynamics
- Materials Science
Background:
- Supercritical fluids exhibit unique properties between gas and liquid states.
- The Widom line signifies a crossover in thermodynamic behavior.
- Understanding fluid structure evolution is crucial for various applications.
Purpose of the Study:
- To investigate the structural evolution of supercritical fluids with increasing density.
- To determine the Widom line for a two-dimensional Lennard-Jones fluid and compare it to its 3D counterpart.
- To identify universal properties in supercritical fluids like water and methanol.
Main Methods:
- Computation of system properties across a wide range of thermodynamic parameters.
- Analysis of the Widom delta region to trace structural changes.
- Examination of Voronoi cell volume distributions and particle vs. system volumes.
Main Results:
- The Widom line was determined for a 2D Lennard-Jones fluid for the first time.
- Structural evolution from gas-like to liquid-like states was observed.
- Universal behaviors were identified in the supercritical Lennard-Jones system, methanol, and water.
Conclusions:
- Supercritical fluid behavior exhibits universal characteristics across different systems.
- The study provides insights into the structural transitions of fluids under supercritical conditions.
- The determination of the 2D Widom line offers a new benchmark for theoretical and computational studies.
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