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...

In this paper, we use a non-equilibrium thermodynamic framework to generalize a previous nonlocal model of counterflow superfluid turbulence to incorporate some new coupled terms which may be relevant in the evolution of inhomogeneous vortex tangles. The theory chooses as fundamental fields the...

An important problem in thermodynamics is the link between the entropy flux and the heat flux, for phenomena far from equilibrium. As an illustration we consider here the case of a rigid heat conductor subject to heating. The expression of the entropy flux is determined by the expressions of the...

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...

Starting from the generalized Gibbs equation of extended irreversible thermodynamics, we define a thermodynamic potential that provides a suitable description of the fluctuations of the hydrodynamical dissipative fluxes when it is used in an expression analogous to the classical Einstein formula...

A non-local generalization of extended irreversible thermodynamics is developed. Both the entropy flux and the evolution equation of the heat flux are obtained as constitutive equations of the theory. The latter equation is used to described the fluctuations of the heat flux in the...

Heat conduction in rigid solids is examined with the purpose of setting up a systematic thermodynamic description accounting for frequency- and wavelength-dependent phenomena. Such a scheme is exhibited in two versions, namely extended irreversible thermodynamics and hidden variable...

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...

The maximum-entropy formalism is used here as a basis of a thermodynamic description of ideal gases under shear. We have obtained expressions for the entropy and the equations of state in nonequilibrium steady states characterized by a given shear viscous pressure and have identified in physical...

In a recent paper by Gaspard et al. [Physica A 323 (2003) 294] it was shown in detail that the Lorentz diffusive gas is compatible with irreversible thermodynamics at the local-equilibrium level of description. In this short note we point out that this compatibility with irreversible...