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Van der Waals cascade in supercritical turbulence near a critical point

2021/01/28 by Tomohiro Tanogami, Shin-ichi Sasa
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cascade #Chemistry #Critical point (mathematics) #Energy cascade #Fluid Dynamics and Turbulent Flows #Length scale #Mathematics #Mechanics #Molecule #Phase Equilibria and Thermodynamics #Physics #Quantum mechanics #Statistical physics #Supercritical fluid #Thermodynamics #Turbulence #Van der Waals equation #cond-mat.stat-mech #physics.flu-dyn #van der Waals force

paper · pdf · doi:10.1103/physrevresearch.3.l032027

published as Phys. Rev. Research 3, 032027 (2021) · 18 pages, 2 figures. Minor revisions are made in ver. 2. arXiv admin note: text overlap with arXiv:2009.11057

arxiv created 2021/01/28 · openalex publication_date 2021/07/30 · arxiv updated 2021/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate a quite strong turbulence in a supercritical fluid near a gas-liquid critical point. Specifically, we consider a case in which the Kolmogorov scale is much smaller than the equilibrium correlation length . Although equilibrium critical fluctuations are destroyed by turbulence, still provides a crossover length scale between two types of energy cascade. At scales much larger than , the Richardson cascade becomes dominant, whereas at scales much smaller than , another type of cascade, which we call the van der Waals cascade, is induced by density fluctuations. Experimental conditions required to observe the van der Waals cascade are also discussed.

Citations