Abstract
A general introduction on near-critical and supercritical fluids is given including the van der Waals equation of state and the critical region. The notions of order parameter, critical fluctuations and fluctuation correlation length (a natural lengthscale for critical point phenomena) are exposed. Mean-field and renormalized critical exponents are defined and discussed. Concerning critical dynamics, the phenomenon of critical slowing-down is presented as the main aspects of phase separation dynamics, including wetting and adsorption properties. The very strong effects due to earth gravity are discussed, as the means to get rid of it (free fall, satellites, magnetic compensation, Plateau method, etc.). A way to fit experimental values within the approximated van der Waals approach is discussed in details. The critical parameters of many fluids of current use are also given (\(^{3}\text {He}\), \(\text {p}\text {H}_{2}\), \(\text {N}_{2}\), \(\text {O}_{2}\), \(\text {Xe}\), \(\text {CO}_{2}\), \(\text {SF}_{6}\), \(\text {H}_{2}\text {O}\)). Specific aspects concerning scaling laws, universality and renormalization-group, the upper critical dimensionality and the conventional theories of nucleation and spinodal decomposition are given in the annex part.
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Anisimov MA, Sengers JV (2000) Critical region. In: Equations of state for fluids and fluid mixtures, vol. I. Elsevier, Amsterdam
Bagnuls C, Bervillier C (1984) Nonasymptotic critical behaviour from field theory for ising-like systems in the homogeneous phase: theoretical framework. J Phys Lett 45(3):L95–L100
Bagnuls C, Bervillier C (1985) Nonasymptotic critical behavior from field theory at \(d=3\): the disordered-phase case. Phys Rev B 32(11):7209–7231
Bagnuls C, Bervillier C (2002) Classical-to-critical crossovers from field theory. Phys Rev E 65(6):066132
Bagnuls C, Bervillier C, Meiron DI, Nickel BG (1987) Nonasymptotic critical behavior from field theory at \(d\)=3. ii. The ordered-phase case. Phys Rev B 35(7):3585–3607
Beysens D (1995) Scaling and gravity effects in critical point phenomena. Microgravity Q 5:35–43
Beysens D, Garrabos Y, Chabot C (1998) Hydrodynamics and phase separation in simple fluids. In: Tokuyama M, Oppenheim I (eds) The 8th Tohwa University international symposium on slow dynamics in complex systems. American Institute of Physics, Woodbury, pp 222–235
Beysens D, Gbadamassi M, Moncef-Bouanz B (1983) New developments in the study of binary fluids under shear flow. Phys Rev A 28(4):2491–2509
Beysens D, Robert M (1987) Thickness of fluid interfaces near the critical point from optical reflectivity measurements. J Chem Phys 87:3056–3061; ibid (1990) Erratum. J Chem Phys 93:6911
Bhattacharjee JK, Ferrell RA, Basu RS, Sengers JV (1981) Crossover function for the critical viscosity of a classical fluid. Phys Rev A 24(3):1469–1475
Binder K (1984) Nucleation barriers, spinodals, and the Ginzburg criterion. Phys Rev A 29(1):341–349
Binder K (1991) Spinodal decomposition. In: Material science and technology: phase transitions in materials, Chapter 5. VCH Verlagsgesellschaft, Weinheim, pp 405–471 (and references therein)
Brezin E (1982) In: LÃ\(\copyright \)vy M, Le Guillou JC, Zinn-Justin J (eds) Phase transitions, CargÚse 1980. Plenum, New York, p 339
Brezin E, Le Guillou JC, Zinn-Justin J (1974) Universal ratios of critical amplitudes near four dimensions. Phys Lett A 47:285–287
Cagniard de la Tour C (1822) Experimente unter hohem drucke. Ann Chim Phys 21:127–131, 178–181
Cahn JW (1997) Critical point wetting. J Chem Phys 66:3667–3672
Calmettes P (1977) Critical transport properties of fluids. Phys Rev Lett 39:1151–1154
Campostrini M, Hasenbusch M, Pelissetto A, Rossi P, Vicari E (2001) Critical behavior of the three-dimensional xy universality class. Phys Rev B 63(21):214503
Carles P (1998) The effect of bulk viscosity on temperature relaxation near the critical point. Phys Fluids 10:2164–2176
Carles P, Dadzie K (2005) Two typical time scales of the piston effect. Phys Rev E 71:066310
Cheng E, Cole MW, Dupont-Roc J, Shaam WF, Treiner J (1993) Novel wetting behaviour in quantum films. Rev Mod Phys 65:557–567
Eckert CA, Knutson BL, Debenedetti PG (1996) Supercritical fluids as solvents for chemical and material processing. Nature 383:313–318
Furukawa H (1985) A dynamical scaling assumption for phase separation. Adv Phys 34:703–750
Garrabos Y (1982) Contribution à l’étude des propriétés d’état des fluides purs dans leur région critique. Thèse de Doctorat d’Etat, Université de Paris 6
Garrabos Y (1985) Phenomenological scale factors for the liquid-vapor critical transition of pure fluids. J Phys (Paris), 46:281–206 (see also http://fr.arxiv.org/abs/condmat/0512347)
Garrabos Y (1986) Scaling behavior of the fluid subclass near the liquid-gas critical point. J Phys (Paris) 47:197–206
Garrabos Y, Bervillier C (2006) Mean crossover functions for uniaxial 3d ising-like systems. Phys Rev E 74(2):021113 (16 p)
Garrabos Y, Lecoutre C, Palencia F, LeNeindre B, Erkey C (2008) Master crossover functions for one-component fluids. Phys Rev E 77:021116
Ginzburg VL (1961) Some remarks on phase transitions of the 2nd kind and the microscopic theory of ferroelectric materials. Sov Phys Solid State 2:1824–1834
Gunton JD, San Miguel M, Sahni PS (1983) The dynamics of first-order phase transitions. In: Phase transitions and critical phenomena, Chap 3, vol 8. Academic, New York, p 269
Hess GB, Sabatini MJ, Chan MHW (1997) Nonwetting of cesium by neon near its critical point. Phys Rev Lett 78(9):1739–1742
Hohenberg PC, Halperin BI (1977) Theory of dynamic critical phenomena. Rev Mod Phys 49:435–479
Houessou C, Guenoun P, Gastaud R, Perrot F, Beysens D (1985) Critical behavior of the binary fluids cyclohexane-methanol, deuterated cyclohexane-methanol and of their isodensity mixture: application to microgravity simulations and wetting phenomena. Phys Rev A 32(3):1818
Jayalakshmi Y, Khalil B, Beysens D (1991) Phase separation under a weak concentration gradient. Phys Rev Lett 69:3088–3091
Justin JZ (2002) Quantum field theory and critical phenomena, 4th edn. Oxford University Press, Oxford
Kadanoff LP, Swift J (1968) Transport coefficients near the liquid-gas critical point. Phys Rev 166:89
Kawasaki K (1970) Kinetic equations and time correlation functions of critical fluctuations. Ann Phys 61(1):1–56
Kawasaki K (1970) Sound attenuation and dispersion near the liquid-gas critical point. Phys Rev A 1:1750
Lee SP (1978) Need research. Chem Phys Lett 57:611
Levelt-Sengers JMH (1975) Experimental thermodynamics, Chap 14, vol 2. Butterworths, London
Le Neindre B, Garrabos Y, Tufeu R (1991) The critical thermal-conductivity enhancement along the critical isochore. Int J Thermophys 12:307–321
Lifshitz IM, Slyosov VV (1961) J Phys Chem Solids 50:19–35
Maxwell JC (1890) The scientific papers of James Clark Maxwell. Cambridge University Press, Cambridge
Moldover MR, Sengers JV, Gammon RW, Hocken RJ (1979) Gravity effects in fluids near the gas-liquid critical point. Rev Mod Phys 51(1):79–99
Nicoll JF, Albright PC (1986) Background fluctuations and Wegner corrections. Phys Rev B 34:1991
Nikolayev VS, Beysens D, Guenoun P (1996) New hydrodynamic mechanism for drop coarsening. Phys Rev Lett 76:3144–3147
Normand C, Pomeau Y, Vellarde MG (1977) Convective instabilities: a physicist’s approach. Rev Mod Phys 49(3):581–624
Onuki A (1984) Electric field effects in fluids near the critical point. Europhys Lett 29:611–616
Onuki A (1997) Bulk viscosity near the critical point. J Phys Soc Jpn 66:511–513
Onuki A (2002) Phase transition dynamics. Cambridge University Press, Cambridge
Onuki A, Kawasaki K (1978) Fluctuations in nonequilibrium steady states with laminar shear flow: classical fluids near the critical point. Prog Theor Phys Suppl 64:436–441
Onuki A, Kawasaki K (1979) Light scattering by critical fluids in the presence of a uniform shear flow. Phys Lett A 72:233–235
Onuki A, Kawasaki K (1979) Nonequilibrium steady state of critical fluids under shear flow: a renormalization group approach. Ann Phys 121:456–528
Ornstein LS, Zernike F (1918) Contributions to the kinetic theory of solids. The thermal pressure of isotropic solids. Proc Acad Sci Amsterdam 17:793–803 (see Phys Z 19:134)
Patashinskii AZ, Pokroviskii VL (1979) Fluctuation theory of phase transitions. Pergamon, Oxford
Perrot F, Beysens D, Garrabos Y, Fröhlich T, Guenoun P, Bonetti M, Bravais P (1999) Morphology transition observed in a phase separating fluid. Phys Rev E 59(3):3079–3083
Privman V, Honenberg PC, Aharony A (1991) Phase transitions and critical phenomena, Universal critical point amplitude relations, Chap, vol 14. Academic, New York, pp 1–134
Quentrec B (1979) A new analysis of sound propagation near the critical point of xenon. J Phys Lett Paris 40(13):257–261
Quettier L, Felice H, Mailfert A, Chatain D, Beysens D (2005) Magnetic compensation of gravity forces in liquid-gas mixtures: surpassing intrinsic limitations of a superconducting magnet by using ferromagnetic inserts. Eur Phys J Appl Phys 32:167–175
Savage PE, Gopalan S, Mizan TI, Martino CJ, Brock EE (1995) Reactions at supercritical conditions: applications and fundamentals. AIChE J 41(7):1723–1778
Schick M (1990) Introduction to wetting phenomena. In: Liquids at interfaces. North Holland, Amsterdam
Schwarzchild K (1992) Gesammelete Werke (collected works), vol 1. Springer, Berlin
Sengers JV, Levelt Sengers JMH (1978) In: Progress in liquid physics. Wiley, New York
Sikkenk JH, van Leeuwen JMJ, Sengers JV (1986) Gravity effects on the fluctuations in a vapor-liquid interface close to the critical temperature. Phys A 139(1):1–27 (and references therein)
Spiegel EA (1965) Convective instabilities in a compressible atmosphere. Astrophys J 141:1068
Stanley HE (1971) Introduction to phase transitions and critical phenomena. Clarendon, Oxford
Stauffer D, Ferer M, Wortis M (1972) Universality of second-order phase transitions: the scale factor for the correlation length. Phys Rev Lett 29(6):345–349
van der Waals JD (1887) In: Rowlinson JS (ed) On the continuity of the gaseous and liquid states. PhD thesis, Leiden University, Leiden
van der Waals JD (1988) On the continuity of the gaseous and liquid state. Dover Publications Inc, New York
Wegner FJ (1972) Corrections to scaling laws. Phys Rev B 5(11):4529–4536
Widom B (1965) Surface tension and molecular correlations near the critical point. J Chem Phys 43:3892–3897
Wilson KG, Kogut J (1974) The renormalization group and the \(\epsilon \) expansion. Phys Rep 12(2):75–199
Wunenburger R, Chatain D, Garrabos Y, Beysens D (2000) Magnetic compensation of gravity forces in (p-)hydrogen near its critical point: application to weightless conditions. Phys Rev E 62(1):469–476
Zimmerli GA, Wilkinson RA, Ferrell RA, Moldover MR (1999) Electrostriction of a near-critical fluid in microgravity. Phys Rev E 59(5):5862–5869
Zimmerli GA, Wilkinson RA, Ferrell RA, Moldover MR (1999) Electrostriction of near-critical sf\(_{6}\) in microgravity. Phys Rev Lett 82(26):5253–5256
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Zappoli, B., Beysens, D., Garrabos, Y. (2015). General Introduction to Near-Critical and Supercritical Fluids. In: Heat Transfers and Related Effects in Supercritical Fluids. Fluid Mechanics and Its Applications, vol 108. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9187-8_1
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