Critical and Crossover Phenomena in Fluids and Fluid Mixtures

Crossover phenomena in spin models with medium-range interactions and self-avoiding walks with medium-range jumps

“…Indeed, from the ǫ-expansion one estimates g * = 1.396 ± 0.020 [86], while the extrapolation of exact-enumeration series gives g * = 1.388 ± 0.005 [87]: One observes a systematic discrepancy, which we believe to be due to the nonanalytic structure of the β-function that is not properly taken into account in the analysis. 11 This problem should also appear in our analysis since we use the same resummation technique. In the reanalysis of Ref.…”

“…[25]. For the domain (3), τ 1 ≈ −0.00060 (11). The constant τ 2 will be computed numerically in Sec.…”

The system H2O–NaCl. Part II: Correlations for molar volume, enthalpy, and isobaric heat capacity from 0 to 1000°C, 1 to 5000bar, and 0 to 1 XNaCl

“…A number of authors have put major effort into the design of reliable equations of state for the system H 2 O-NaCl (e.g., Haas, 1970;Rogers and Pitzer, 1982;Pitzer et al, 1984;Bischoff and Rosenbauer, 1985;Clarke and Glew, 1985;Pitzer and Pabalan, 1986;Pitzer and Schreiber, 1987;Gallagher and Levelt Sengers, 1988;Tanger and Pitzer, 1989;Lvov and Wood, 1990;Archer, 1992;Anderko and Pitzer, 1993;Pitzer and Sterner, 1993;Pitzer and Jiang, 1996;Povodyrev et al, 1997;Palliser and McKibbin, 1998a,b,c;Thiéry and Dubessy, 1998;Anisimov and Sengers, 2000;Oscarson et al, 2001Oscarson et al, , 2004Myers et al, 2003;Sedlbauer and Wood, 2004;Liu et al, 2006), but the range of validity of most of these is too restricted to make them useful for flow simulations that investigate systems over wide ranges of temperature, pressure, composition, and phase state of the fluid. The only model that covers the whole T, P, and X NaCl range of interest (Palliser and McKibbin, 1998a,b,c) shows unphysical features in some parts of the phase diagram, including negative heat capacities of saline fluids near the critical temperature of water.…”

Comparison of two crossover procedures for describing thermodynamic behavior of normal alkanes from singular critical to regular classical regions

“…The spatial extent of these critical fluctuations is theoretically determined by the correlation length and the divergence of correlation length can be observed experimentally through the critical opalescence phenomenon [3]. Consequently, the microscopic details of short-range intermolecular interactions become insignificant when the system is sufficiently close to the critical point [4].…”