Liquid theories

Xu B-C and Stratt R M 1990 Liquid theory for band struoture in a liquid. II. p orbitals and phonons J. Chem. Phys. 92 1923-35... 

A theoretical analysis of the helium-xenon system was reported by Zandbergen and Beenakker (Zl), who based their calculations on the Prigogine-Scott theory of corresponding states for mixtures (PI 5, S2). We cannot here go into the details of their analysis, but will merely indicate the essential elements. Zandbergen and Beenakker use the three-liquid theory to obtain an expression for the volumes of helium-xenon mixtures as a function of temperature, pressure, and composition. This expression is... 

Here we describe the strain history with the Finger strain tensor C 1(t t ) as proposed by Lodge [55] in his rubber-like liquid theory. This equation was found to describe the stress in deforming polymer melts as long as the strains are small (second strain invariant below about 3 [56] ). The permanent contribution GcC 1 (r t0) has to be added for a linear viscoelastic solid only. C 1(t t0) is the strain between the stress free state t0 and the instantaneous state t. Other strain measures or a combination of strain tensors, as discussed in detail by Larson [57], might also be appropriate and will be considered in future studies. A combination of Finger C 1(t t ) and Cauchy C(t /. ) strain tensors is known to express the finite second normal stress difference in shear, for instance. 

J. Kowalewski and L. Maler, Nuclear Spin Relaxation in Liquids Theory, Experiments and Applications. Taylor Francis, New York, 2006. 

The earliest equations for Gibbs excess energy, like Margules and van Laar, were largely empirical. More recent equations and NRTL and UNIQUAC are based on a semiempirical physical model, called the two-liquid theory, based on local composition. The molecules do not mix in a random way, but because of different bonding effects, the molecules prefer a certain surrounding. This results in a composition at the molecular level, the local composition, which differs from the macroscopic composition. 

Note that the exchange term is of the form / y(r,r ) h(r )dr instead of the y (r) (r) type. Equation (1.12), known as the Hartree-Fock equation, is intractable except for the free-electron gas case. Hence the interest in sticking to the conceptually simple free-electron case as the basis for solving the more realistic case of electrons in periodic potentials. The question is how far can this approximation be driven. Landau s approach, known as the Fermi liquid theory, establishes that the electron-electron interactions do not appear to invalidate the one-electron picture, even when such interactions are strong, provided that the levels involved are located within kBT of Ep. For metals, electrons are distributed close to Ep according to the Fermi function f E) ... 

The fibrils are produced as the result of the partial coalescence of a disperse medium consisting of a highly viscous liquid or a solid solution. According to the solid-liquid theory the fibrils are produced by the coalescence of the dispersed sol in the form of... 

Kinetics of Sr and Nd exchange in silicate liquids theory, experiments, and... 

A major criticism of all this work is the treatment of the solvent as hydrodynamic continuum. To study the hydrodynamic repulsion of particles requires either molecular dynamics calculations or time-dependent liquid theories to be applied. It will be most interesting to see how the analysis using kinetic theory develops (see, for instance, Cukier et al. [454]). 

Summary. We demonstrate that in a wide range of temperatures Coulomb drag between two weakly coupled quantum wires is dominated by processes with a small interwire momentum transfer. Such processes, not accounted for in the conventional Luttinger liquid theory, cause drag only because the electron dispersion relation is not linear. The corresponding contribution to the drag resistance scales with temperature as T2 if the wires are identical, and as T5 if the wires are different. 

J.L. Greffe, J. Barriol, Methode d etude des interactions dipolaires en phase liquide. Theorie statistique de la constante dielectrique, Journ. Chim. Phys. 11-12 (1972) 1579. 

Paul Benedek and Francis Olti, Computer Aided Chemical Thermodynamics of Gases and Liquids Theory, Models, and Programs, Wiley, New York, 1985. 

Before the discovery, in 1986, by Bednorz and Muller [1] of high-Tc superconductivity, there was a rather widespread belief that Solid State Theory was satisfactorily built so as to allow the comprehension of any solid state problem, provided the computations to be carried out were feasible. Nourishing this believe there was, on the free quasi-particle side, the Fermi Liquid Theory and tools as Green Functions and Diagrammatic Perturbation Theory, which allowed to study most of the band-theoretic-based solid-state properties. Namely, Diagrammatic Perturbation Theory has... 

Xu B-C, Stratt RM. Liquid theory for band structure in a liquid. II. p Orbitals and phonons. J Chem Phys 1990 92 1923-1935. 

Specific heat. In the Fermi liquid theory, the expression for the electronic contribution to the specific heat is linear in temperature CXT) = yT, where the Sommerfeld constant is... 

Key features of both the non-interacting and the interacting Fermi liquid theory can be illustrated through the retarded one-particle Green function, which can be defined from the following Fourier transform... 

This conversion procedure must be attempted for the longitudinal as well as for the transverse transport. The results for p (7) in (TMTSFljPF at ambient pressure is given in Fig. 14 where a cross-over from a superlinear to a linear (or sublinear) power law temperature dependence is observed in the vicinity of 80 K. A detailed analysis based on the Fermi liquid theory shows that a law is apparently well satisfied below 50 K down to the vicinity of the spin density-wave transition where the resistivity is dominated by critical scattering effects [75]. 

Manneville, P. Dubois-Violette, E. Shear flow instability in sheared nematic liquids theory steady simple shear flows. J. Phys. Paris 1976,37,285-296. 

N may be as crude as the Fermi liquid theory for nucleons, plus classical estimates of electromagnetic energy density, and P(SC C) N). may have such broad support that it places essentially no restriction on stellar nucleosynthesis. For this reason, we introduce Hoyle s posterior observation of estimated carbon abundances. 

---