The zero distribution of orthogonal polynomials pn,N , n = 0, 1, . . . generated by recurrence coefficients an,N and bn,N depending on a parameter N has been recently considered by Kuijlaars and Van Assche under the assumption that an,N and bn,N behave like a(n/N) and b(n/N), respectively, where a(·) and b(·) are continuous functions. Here, we extend this result by allowing a(·) and b(·) to be ...

The purpose of this paper is to find out a set of general recurrence formulas for the calculus of the SU(3) Clebsch-Gordan coefficients. The first six sections are introductory, presenting the notations and general group theoretical methods applied to SU(3). The following eight sections are devoted to a detailed treatment of the carrier spaces of the irreducible representations and their direct...

This paper examines the non-perturbed deposition and re-entrainment dynamics of biological and non-biological colloids in porous media in the presence of an energy barrier to deposition at the grain surface. Deposition and re-entrainment rate coefficients were determined from numerical simulation of breakthrough–elution behavior and the profiles of retained colloids. We present composite trends...

A quantitative empirical model is presented, which relates the total surfactant concentration with the fluorescence intensity and the mean translational diffusion coefficient of dyes in micellar solutions, as determined by Fluorescence Correlation Spectroscopy (FCS). Based on this model a systematic data analysis method is defined for the precise determination of the dye binding equilibrium con...

We present multiscale description of hydrodynamic turbulence in incompressible fluid based on continuous wavelet transform. The wavelet transform of the velocity field is taken in L 1 norm, so that the wavelet coefficients u l (x) have the meaning of the velocity fluctuations of scale l. An extra contribution to the energy transfer from large to smaller scales is derived. It is shown that the K...

Nonstationary and nonequilibrium processes are considered on the basis of an Enskog-Landau kinetic equation using a boundary conditions method. A nonstationary solution of this equation is found in the pair collision approximation. This solution takes into account explicitly the influence of long-range interactions. New terms to the transport coefficients are identified. An application of the b...

We compute coefficients of two-derivative terms in the hydrodynamic energy momentum tensor of a viscous fluid which has an AdSD dual with 3 ≤ D ≤ 7. For the case of D = 3 we obtain an exact AdS3 black hole solution, valid to all orders in a derivative expansion, dual to a perfect fluid in 1 + 1 dimensions. June 2008 e-mail: [email protected] e-mail: [email protected]...

A scheme introduced recently for the description of non-linear hydrodynamic fluctuations of a one-component fluid is extended to the case of a two-component charged fluid. The random fluxes which are introduced are assumed to be Gaussian processes with white noise. It is found that the usual expressions for the systematic parts of the dissipative fluxes are only consistent with this assumption,...

We formulate a scheme describing the fluctuations in a system obeying the non-linear hydrodynamic equations. The random fluxes are assumed to be Gaussian processes with white noise. It is shown that the usual expressions for the systematic parts of the dissipative fluxes are consistent with this assumption, provided that the Onsager coefficients are constants. The linear response of the system ...

We demonstrate that tracer/host size asymmetry and electrostatic interactions strongly affect rotational self-diffusion in binary mixtures of charged colloidal tracer and host spheres. Tracer diffusion coefficients, measured with time-resolved phosphorescence anisotropy, are compared with calculations of rotational diffusion including two- and three-particle hydrodynamic interactions. We also s...