A nonconventional model concerning interactions between various physical fields in solids is proposed within the thermodynamical description based on the extended irreversible thermodynamics. For the analysis of the entropy inequality Liuâ€™s theorem has been used. The general theory is applied to several exampils.

The paper deals with considerations on nonlinear therm odiffusion. The general scheme of a physical model is based on an extended-like irreversible thermodynamics. The diffusion coefficient introduced in the constitutive theory has been determined with the help of statistical considerations related to a cubic $fcc$ crystal lattice and verified by an experiment.

The paper deals, in general, with the relativistic irreversible thermodynamics of the elastic solid continuum. Except for general and known considerations concerning thermodynamical description of relativistic solids, the application of Liu's theorem in the analysis of the entropy inequality has been presented.

Adeformable and defective semiconductor is described within a nonclassical thermodynamical model. Investigations are applied to an analysis of dislocation effects on the elastic and electronic fields in a semiconducting body. The dislocation field is defined in a nonconventional way contrary to the exsiting models. Field equations resulting from the thermodynamical model are solved in a case of small perturbations of the system. Propagation of plasmoelastic-type waves in a defective crystal is considered. The dispersion curves for the above waves propagating in germanium have been presented.

The paper deals with a nonconventional thermodynamical modelling of interactions of weak and high energetic neutrons with a defective, deformable semiconducting body. Field equations are presented. Some examples of interactions are analytically and numerically investigated.

Magnetic flux can penetrate a type-II superconductor in the form of Abrikosov vortices (also called flux lines, flux tubes, or fluxons), each carrying a quantum of magnetic flux. These tiny vortices of supercurrent tend to arrange themselves in a triangular and/or quadratic flux-line lattice, which is more or less perturbed by material inhomogeneities that pin the flux lines. Pinning is caused by imperfections of the crystal lattice, such as dislocations, point defects, grain boundaries, etc. Hence, a honeycomb-like pattern of the vortex array presents some mechanical properties. If the Lorentz force of interactions between the vortices is much bigger than the pinning force, the vortex lattice behaves elastically. So we assume that the pinning force is negligible in the sequel and we deal with soft vortices. The vortex motion in the vortex lattice and/or creep of the vortices in the vortex fluid is accompanied by energy dissipation. Hence, except for the elastic properties, the vortex field is also of a viscous character. The main aim of the paper is a formulation of a thermoviscoelastic stress - strain constitutive law consisted of coexistence of the ordered and disordered states of the vortex field. Its form describes an auxetic-like thermomechanical (anomalous) property of the vortex field.

Magnetic flux can penetrate a type-II superconductor in the form of Abrikosov vortices (also called flux lines, flux tubes, or fluxons), each carrying a quantum of magnetic flux. These tiny vortices of supercurrent tend to arrange themselves in a triangular and/or quadratic flux-line lattice, which is more or less perturbed by material inhomogeneities that pin the flux lines. Pinning is caused by imperfections of the crystal lattice, such as dislocations, point defects, grain boundaries, etc. Hence, a honeycomb-like pattern of the vortex array presents some mechanical properties. If the Lorentz force of interactions between the vortices is much bigger than the pinning force, the vortex lattice behaves elastically. So we assume that the pinning force is negligible in the sequel and we deal with soft vortices. The vortex motion in the vortex lattice and/or creep of the vortices in the vortex fluid is accompanied by energy dissipation. Hence, except for the elastic properties, the vortex field is also of a viscous character. The main aim of the paper is a formulation of a thermoviscoelastic stress - strain constitutive law consisted of coexistence of the ordered and disordered states of the vortex field. Its form describes an auxetic-like thermomechanical (anomalous) property of the vortex field.

The classical thermodynamical description of physical processes occuring in solids seems to be inadequate if relaxation phenomena should be taken into account.

Let us consider a problem of relaxation of thermal, diffusion and electric current fields in a thermoelastic conducting paramagnet in the presence of an electromagnetic field. The presented theory is based on the extended irreversible thermodynamics - the theory where the set of independent variables is enlarged to fluxes.