Master crossover functions for the one-component fluid "subclass"

Yves Garrabos (1, 2) , Carole Lecoutre-Chabot (1, 2) , Fabien Palencia (1, 2) , Bernard Le Neindre (3) , Can John Erkey (4)

1 ICMCB - Institut de Chimie de la Matière Condensée de Bordeaux
2 ESEME : Équipe du Supercritique pour l'Environnement, les Matériaux et l'Espace : Équipe commune CEA-CNRS (2000-2014)
3 LIMHP - Laboratoire d'Ingénierie des Matériaux et des Hautes Pressions
4 Department of Chemical Engineering

Introducing three well-defined dimensionless numbers, we establish the link between the scale dilatation method able to estimate master (i.e. unique) singular behaviors of the one-component fluid "subclass" and the universal crossover functions recently estimated [Garrabos and Bervillier, Phys. Rev. E 74, 021113 (2006)] from the bounded results of the massive renormalization scheme applied to the...

Domaines: Matériaux; Mécanique statistique [cond-mat.stat-mech]

Yves Garrabos, Carole Lecoutre-Chabot, Fabien Palencia, Bernard Le Neindre, Can John Erkey. Master crossover functions for the one-component fluid "subclass". Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2008, 77 (2), 021116 (26 p.). ⟨10.1103/PhysRevE.77.021116⟩. ⟨hal-00162502⟩