Aim. We consider the rheological behavior of melts of polymer composites filled with inorganic solid particles.

Methodology. The experimental data are aproximated by the equations of the structural rheological model on separate intervals of the shear rate.

Results. The relationship between the coefficients of rheological equations and the state of the structure of the composite material is demonstrated.

Research implications. Equations are proposed that are capable of approximating experimental data at individual shear rate intervals corresponding to a certain structural state of the polymer composite melt.

Aim. We demonstrate a method for deriving the Navier–Stokes equation taking into account inhomogeneities of any order according to the Laplace operator using the Boltzmann kinetic equation.

Methodology. The solution method is based on the theory of nonequilibrium phenomena and on the principle of entropy growth Results. After the calculations, additional heterogeneous terms are found to the right side of the Navier–Stokes equation according to the Laplace operator.

Research implications. A new type of fundamental solutions for a stationary equation of parabolic type is predicted, which has a significant applied value in solving a number of problems of mathematical physics.

Aim. The similarity of classical and quantum correlations is revealed. The concept of modeling entangled states of quantum particles based on classical correlations is presented.

Methodology. The existing approaches to quantum computing are analyzed, in particular, the use of entangled states of quantum particles for quantum computing. Entangled states are modeled based on classical correlations. The main content of the study is the analysis of the algorithm of classical correlations.

Results. The performed analysis demonstrates the practical feasibility of modeling entangled quantum states by classical correlations. Using the results of the study, a conclusion is made about the possibility of modeling entangled quantum states by the algorithm described in the work, and a model based on radio-electronic components is also proposed. It is shown that this qubit model can become an inexpensive alternative to existing solutions for modeling quantum computing.

Research implications. A proposal is formulated for modeling entangled states of quantum particles using the classical correlation algorithm. The algorithm describes the parameters responsible for the entanglement and correlation of qubit models. A software model with a visual interface of a four-particle entangled state is presented. The model can serve as a demonstration of quantum applications related to entangled states, such as telecommunications cryptographic quantum protocol, Bell's inequality, and can also be used to simulate quantum computing based on entangled states of quantum particles.

Aim. The paper establishes the dependence of the influence of the concentration of the solid phase on the acoustic parameters of a magnetic fluid based on transformer oil in a wide temperature range, including the temperature close to the glass transition point of the dispersion medium.

Methodology. The research is based on methods of physical acoustics and the pulse method of variable distance under external temperature influence in particular.

Results. The temperature and concentration dependences of the density, velocity and absorption coefficient of ultrasonic waves are investigated. A comparison is performed with the main theoretical models and approaches. In the temperature range near the glass transition point of the dispersion medium, additional effects are observed that are not described in the literature and are inconsistent with the currently existing theories of sound propagation in dispersed systems with a large density difference between the liquid and solid phase.

Research implications. Scientific and practical interest is due to the fact that the study of non-magnetized ferromagnetic colloids with a high contrast of densities between phases near the glass transition point of the dispersion medium is relevant, since there is a lack of research in this temperature range and, moreover, additional effects associated with the displacement of the phase transition at high concentrations of the solid phase are possible.

Aim. We investigate the effect of the material parameters of a transparent metal oxide electrode (N is the electron density, and τ is the average electron scattering time) on the frequency at which the dielectric constant of the material ε (epsilon) becomes close to zero (the so-called ENZ materials).

Methodology. Using the Drude model, the parameters N, τ and the plasma frequency ω0 are calculated in the range of parameters of materials used in electronics, as well as for composite materials with different geometries of inclusions. The parameters of materials based on zinc oxide and methods of their formation are presented, in which the described regime of the dielectric constant of the material close to zero can be realized.

Results. For a number of materials of transparent electrode films used in near-IR radiation control devices, the influence of material parameters (N and τ) on the frequency at which the dielectric constant of the material ε (epsilon) becomes close to zero (ENZ materials) is studied. The technologies of materials in which the ENZ mode can be implemented are described.

Research implications. The described mode is implemented for a number of transparent electrode film materials used in near-IR radiation control devices.