The front dynamics in reaction–diffusion equations with a piecewise linear reaction term is studied. A transition from pushed-to-pulled fronts when they propagate into the unstable state is found using a variational principle. This transition occurs for a critical value of the discontinuity...

The speed of pulled fronts for parabolic fractional-reaction-dispersal equations is derived and analyzed. From the continuous-time random walk theory we derive these equations by considering long-tailed distributions for waiting times and dispersal distances. For both cases we obtain the...

The expressions for the nonequilibrium temperature derived from the fluctuation–dissipation theorem and from the differential of the informational nonequilibrium entropy for ideal gases under shear flow are compared. Both temperatures are different, in particular, the thermodynamic temperature...

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...

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...

It is shown that the identification of the Lagrange multiplier conjugated to the viscous pressure tensor that was proposed in a previous paper [Physica A 233 (1996) 163–174] on information theory applied to fluids under flow yields for the orientational distribution function of dilute dumbbell...

The classical Ginzburg–Landau expression for the free energy has been used as an ingredient in the description of shear-induced effects in polymer solutions. However, terms of the form ∇c·∇u·∇c (c being the concentration and u the barycentric velocity of the fluid) have never been...

A new thermodynamic approach, based on extended irreversible thermodynamics, is proposed to describe viscoelastic materials. The state space is widened by including the stress tensor and the heat flux vector among the set of independent state variables. These extra variables are satisfying...

The fluctuation theory based on extended irreversible thermodynamics is applied to relate linear Burnett coefficients with second moments of the fluctuations of dissipative fluxes. The results agree with those of kinetic theory and of time-correlation function formalism in the domain of validity...

A method of induced forces and torques is employed to study brownian motion of a particle in a fluid with internal angular momentum (spin). One derives generalized Faxén theorems for the force and torque exerted on the particle. In the Landau-Lifshitz approach, one obtains...