Fluctuating hydrodynamics and renormalization of susceptibilities and transport coefficients

III~RENORMALIZATION OF THE DIFFUSION COEFFICIENT IN A FLUCTUATING FLUID 3.1. Derivation of a general formula for the renormalized diffusions coefficient 3.2. An expansion of the renormalized coefficient in correlation functions 3-3. The long time behaviour of the diffusion memory kernel, and the ~,~ dependent renormalized diffusion constant 3. 4. Expansion of the renormallzed diffusion coefficient in terms of the renormalized diffusion propagator

[1]  Robert Zwanzig,et al.  Hydrodynamic Theory of the Velocity Correlation Function , 1970 .

[2]  M. Smoluchowski Molekular-kinetische Theorie der Opaleszenz von Gasen im kritischen Zustande, sowie einiger verwandter Erscheinungen , 1908 .

[3]  J. Swift,et al.  Transport Coefficients near the Liquid-Gas Critical Point , 1968 .

[4]  Kyozi Kawasaki,et al.  Kinetic equations and time correlation functions of critical fluctuations , 1970 .

[5]  Kyozi Kawasaki,et al.  Long time behavior of the velocity autocorrelation function , 1970 .

[6]  I. Oppenheim,et al.  Bilinear Contributions to Equilibrium Correlation Functions , 1973 .

[7]  A. Einstein,et al.  Theorie der Opaleszenz von homogenen Flüssigkeiten und Flüssigkeitsgemischen in der Nähe des kritischen Zustandes [AdP 33, 1275 (1910)] , 2005, Annalen der Physik.

[8]  L. Rosenfeld,et al.  Theory of electrons , 1951 .

[9]  M. Ernst,et al.  Non-analytic dispersion relations in classical fluids , 1972 .

[10]  Dick Bedeaux,et al.  On the critical behaviour of the dielectric constant for a nonpolar fluid , 1973 .

[11]  P. Mazur,et al.  ON THE THEORY OF THE REFRACTIVE INDEX OF NON-POLAR GASES. II. STATISTICAL PART. , 1956 .

[12]  Jonathan Robert Dorfman,et al.  Velocity Correlation Functions in Two and Three Dimensions , 1970 .

[13]  J. M. J. van Leeuwen,et al.  Asymptotic Time Behavior of Correlation Functions , 1970 .

[14]  P. Mazur,et al.  On the critical behaviour of the dielectric constant for a nonpolar binary liquid mixture , 1974 .

[15]  Y. Pomeau Low-Frequency Behavior of Transport Coefficients in Fluids , 1972 .

[16]  S. Y. Larsen,et al.  On the Validity of the Lorentz—Lorenz Equation Near the Critical Point , 1965 .

[17]  B. Alder,et al.  Velocity Autocorrelations for Hard Spheres , 1967 .