Is the entropy at the liquid-gas critical point of pure fluids proportional to a master dimensionless constant ?

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dc.creatorGarrabos, Yves
dc.date2006-01-05
dc.date.accessioned2026-07-07T06:57:21Z
dc.date.available2026-07-07T06:57:21Z
dc.descriptionFrom a minimal set made of four scale factors defined at the liquid-gas critical point of a pure fluid, and one adjustable parameter which accounts for particle quantum effects, we demonstrate here a master singular behavior of the correlation length for the one-component fluid subclass, using an asymptotic scale dilatation of the physical fields. Such master behavior observed within the preasymtotic domain is in conformity with the renormalized $Φ\_{d = 3}^{4}$ Field Theory predictions at large correlation length scale of the fluctuating order parameter, for the complete universality class of the symmetrical uniaxial 3D-Ising-like systems. The following consequences are discussed: (i) A comparison between the critical state of pure fluids and the zero-temperature state leads to an intuitive analogy with the (Nerst) third law of thermo- dynamics, which authorizes specific master form for hyperscaling within the subclass of pure fluids; (ii) A master constant value of the non-dimensional critical entropy can exist for all the pure fluids at the short-ranged lengthscale of the molecular interaction. From this latter hypothesis, we show that the needed four scale factors are the four preferred directions ex- pressing complete thermodynamic (linear) continuity crossing the liquid-gas critical point on the (pressure, volume, temperature) phase surface.
dc.identifierhttps://arxiv.org/abs/cond-mat/0601088
dc.identifierhttp://arxiv.org/abs/cond-mat/0601088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106937
dc.subjectStatistical Mechanics
dc.titleIs the entropy at the liquid-gas critical point of pure fluids proportional to a master dimensionless constant ?
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