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Universality and quantum effects in one-component critical fluids

2005/12/16 by Yves Garrabos
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Critical phenomena #Critical point (mathematics) #Crossover #Ising model #Mathematical analysis #Mathematical physics #Mathematics #Parametric statistics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Quantum, superfluid, helium dynamics #Renormalization #Renormalization group #Scaling #Statistical physics #Statistics #Universality (dynamical systems) #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.73.056110

published as Physical Review E vol. 73, n? 5 (2006) p. 056110 (13 p.)

arxiv created 2005/12/16 · openalex publication_date 2006/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Nonuniversal scale transformations of the physical fields are extended to pure quantum fluids and used to calculate the susceptibility, the specific heat, and the order parameter density along the critical isochore of near its liquid-vapor critical point. Within the so-called preasymptotic domain, where the Wegner expansion restricted to the first term of confluent corrections to scaling is expected to be valid, the results are in agreement with the experimental measurements and recent predictions, either based on the minimal-substraction renormalization and the massive renormalization schemes within phi (4)(d = 3) (n = 1)the model, or based on the crossover parametric equation of state for Ising-like systems.

Citations