Linear irreversible thermodynamic principles are used to demonstrate, by counterexample, the existence of a fundamental incompleteness in the basic pre-constitutive mass, momentum, and energy equations governing fluid mechanics and transport phenomena in continua. The demonstration is effected...

The principles of linear irreversible thermodynamics are used to show that near-equilibrium linear constitutive equations governing the diffuse fluxes through fluids of momentum, energy, and other extensive properties, and valid for the case of general unsteady flows, can be derived by...

A linear weakly nonlocal and finite-speed theory of heat conduction in rigid solids was presented by Lebon and Grmela in Phys. Lett. A 214 (1996) 184. In the present paper, this work is extended to a fully nonlinear theory. The extension is based on the requirement that the Hamiltonian structure...

Classical equations for transport processes predict infinite speed of the perturbations propagation. From molecular point of view, this feature is rather doubtful, because, for instance in gas or plasma, any perturbation propagates as a result of molecules or charged particles (ions, electrons)...

In this paper, by taking into account effects of the user and object correlations on a heat conduction (HC) algorithm, a weighted heat conduction (WHC) algorithm is presented. We argue that the edge weight of the user–object bipartite network should be embedded into the HC algorithm to measure...

Pucci and Saccomandi [J. Phys. A 26 (1993) 681] have obtained invariant solutions for the Fokker–Planck (FP) equation via potential symmetries. Herein, we analyze the generalized one-dimensional FP equation for various cases corresponding to the physically interesting situations through the...

The problem of escape of a particle by diffusion from a square potential well across a square barrier is studied on the basis of the one-dimensional Smoluchowski equation for the space- and time-dependent probability distribution. For the model potential the Smoluchowski equation is solved...

The work reported here is a sequel to our paper (Physica A 304 (2002) 395), wherein we have obtained the invariant solutions of the generalized one-dimensional Fokker–Planck equation via the so-called potential symmetry method. Herein, the application of the same method has been carried over...

We show a highly efficient method to control heat conduction by tuning the periodicity of the external potential. This method provides a possible design of a controlled thermal conductor which can change from a thermal conductor to a thermal insulator. The efficiency of the controlled thermal...

A heat conduction problem is studied using extended hydrodynamic equations obtained from Enskog's equation for a simple case of two planar systems in contact through a porous wall. One of the systems is in equilibrium and the other one in a steady conductive state. The example is used to put to...