A relaxation-time model for the relativistic Boltzmann equation of a single-component gas is solved to second, or “Burnett”, order using the relativistic version of the Chapman-Enskog method developed by Marle. Expressions are obtained from this second order solution for the “Burnett”...

The collective modes in two Fokker-Planck Coulomb systems are studied in one dimension and in the long wavelength limit. The Fokker-Planck “friction coefficient”, which can be related to the viscosity of the medium through the Stokes' law, is treated as a parameter. In a single component...

Fokker-Planck equations for nonlinear processes are solved asymptotically in the limit k→0 where k is the Boltzmann constant. It is shown that the leading asymptotic solutions for conditional (two-gate) distribution functions simply correspond to generalizations of the Onsager-Machlup theory...

A simplified method of renormalization-group theory, by which critical phenomena in N - component spin systems with long- and short-range interactions can be studied, is developed. The fixed points, the eigenvalues and the critical exponents (η, γ and φ) of the systems are investigated....

A formally exact expression for a lattice model of the perturbed strain field in a grainy polycrystalline material is constructed using a discrete T-matrix. The matrix elements of T are expressed in terms of a self-consistent lattice Green's function and the “effective”, i.e., renormalized,...

The predictions of the Van der Waals model for the self-diffusion in Kr are compared with the experimental results at 220 K and for 0.7ρc ⪕ ρ ⪕ 2.1ρc. The Van der Waals model fails to represent the Kr data while at the same temperature in the case of CH4 this model works quite well for...

The paper reports measurements of the thermal conductivity of eight gaseous mixtures of monatomic gases. The group of systems studied consists of three binary mixtures of neon and argon, four binary mixtures of helium and argon and a ternary mixture of neon, argon and krypton. The measurements...

Based on Kubo's current correlation function formula and Fujita's proper connected diagram technique, a quantum theory of cyclotron resonance lineshape for a two-dimensional electron-impurity system is developed. Equations for the cyclotron resonance linewidths ΓN and the frequency shifts ΔN,...

In this article nonlinear Langevin equations for a brownian (B) particle are derived and analyzed. Attention is focussed on the role of nonlinear B particle momentum (P) modes (powers of P). The multimode Mori formalism is used to derive equations of motion for P(t) for different numbers n of...

The simplified renormalization theory has been applied to fluids and generalized so that it can be used elsewhere than on the critical isochore. A general expression for the correlation has been found, and applied to the critical isotherm to get the critical exponent δ. The equation of state is...