Previous thermodynamic analyses of shear-induced shift of the spinodal line in diluted polymer solutions in plane Couette flows are extended here to the entangled regime by using the reptation model. The most significant difference with respect to the dilute regime is a shift of the critical...

Measurement of the resistance to a stretching motion, the so-called elongational viscosity ηe, has proven to be difficult for dilute polymer solutions, although it is important for a large number of applications. We attempt to deduce ηe of dilute solutions of flexible polymers in two different...

We study the evaporation of stars from globular clusters using the simplified Chandrasekhar model [S. Chandrasekhar, Dynamical friction. II. The rate of escape of stars from clusters and the evidence for the operation of dynamical friction, Astrophys. J. 97 (1943) 263]. This is an analytically...

When considering the hydrodynamics of Brownian particles, one is confronted to a difficult closure problem. One possibility to close the hierarchy of hydrodynamic equations is to consider a strong friction limit. This leads to the Smoluchowski equation that reduces to the ordinary diffusion...

Three different thermodynamic approaches to nonlocal effects in a constitutive equation for the viscous pressure tensor are compared in order to illustrate the relative merits of different choices of independent variables. The first one considers a coupling between viscous pressure and diffusion...

Non-Markovian effects on the Brownian movement of a free particle in the presence as well as in the absence of inertial force are investigated under the framework of generalized Fokker–Planck equations (Rayleigh and Smoluchowski equations). More specifically, it is predicted that non-Markovian...

The dynamics of a degree of freedom associated to an axial vector in contact with a heat bath is described by means of a probability distribution function obeying a Fokker–Planck equation. The equation is derived by using mesoscopic non-equilibrium thermodynamics and permits a formulation of a...

Using multiscale analysis and methods of statistical physics, we show that a solution to the N-atom Liouville equation can be decomposed via an expansion in terms of a smallness parameter ϵ, wherein the long scale time behavior depends upon a reduced probability density that is a function of...

In this paper we study the anomalous diffusion process driven by fractional Brownian motion delayed by general infinitely divisible subordinator. We show the analyzed process is the stochastic representation of the Fokker–Planck type equation that describes the probability density function of...

Suspensions of solid particles in polymeric solutions are regarded as suspensions of solid particles and polymer molecules in a Newtonian fluid. Disturbances caused by the particles propagate in the Newtonian fluid and influence the distribution of the particles and conformation of the...