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Yurii A. Spirichev

Publications and source records attributed to Yurii A. Spirichev.

10 recordsLinked to original sources
arXiv2023

The energy-momentum tensor of the electromagnetic field with a non-zero trace, the virial theorem and plasma equilibrium

The zero trace of the known energy-momentum tensors (EMT) of the electromagnetic field (EMF) leads to contradictions in the virial theorem for a system of charged particles and incorrect conclusions on the equilibrium state of the plasma. From the EMF and induction tensors, in the form of their matrix product, a EMT with a non-zero trace is obtained. Its trace is a quadratic invariant of the EMF. The consequences of the new EMT for electromagnetic forces, the virial theorem and the conditions of the equilibrium state of a system of charged particles and long-lived plasma phenomena are shown.

physics.gen-ph↗
arXiv2022

Self-consistent magnetic fields and currents

The possibility of the existence of quasi-stationary electromagnetic fields in plasma supported by their own self-consistent current follows from Maxwell's equations with field sources. These equations also give rise to a wave equation for the density of a self-consistent current and a nonlinear kinematic equation for the velocity of electric charges, from which follows the possibility of excitation of a "magnetic dynamo" and localized rotating plasma structures having a magnetic field. An analytical boundary condition for the excitation or attenuation of turbulence and "magnetic dynamo" is obtained.

physics.class-ph↗
arXiv2022

Inertia in 4D-mechanics

An important methodological problem of theoretical mechanics related to inertia is discussed. Analysis Inertia is performed in four-dimensional Minkowski space-time based on the law of conservation of energy-momentum. This approach allows us to combine the laws of conservation of momentum and angular momentum into a single law and separate the forces of inertia that actually exist in nature from the imaginary forces introduced to simplify calculations or arising from the transition from one frame of reference to another. From the energy-momentum tensor, in a non-relativistic approximation, the equation of balance of inertia forces existing in nature for a moving continuous medium and a material point in an inertial frame of reference is obtained. It follows from this equation that the pseudo-Euclidean geometry of our world plays an important role in the manifestation of inertia forces. The tensor and the balance equations of all inertia forces in a continuous medium a moving with angular acceleration are obtained. This allows uniform formulation and presentation of the original categories and concepts of classical and relativistic mechanics in educational and scientific literature within the framework of the current paradigm.

physics.gen-ph↗
arXiv2022

On inertia forces and cosmological acceleration

It is shown that the equations of gravitational waves and cosmological acceleration follow from the tensor of inertial forces. The possibility of the existence of three types of gravitational waves: transverse, potential and vortex waves are shown. The equation of "free cosmological fall" of matter is obtained. It is concluded that the cosmological acceleration is an attribute of the geometry of space-time and for its explanation does not require the involvement of the hypothesis of "dark" energy.

physics.gen-ph↗
arXiv2019

Necessary criterion of choosing the energy-momentum tensor and the Lagrange formalism

It is shown that the necessary criterion for choosing the energy-momentum tensor of a physical system is the form of its linear invariant, which should be the lagrangian of this physical system. Examples of energy-momentum tensors that meet this criterion are given. For an electromagnetic field in vacuum, the linear invariant of the energy-momentum tensor must be the canonical lagrangian or the quadratic invariant of the electromagnetic field tensor. A mathematical method for obtaining the lagrangian that complements the Lagrange formalism is proposed.

physics.class-ph↗
arXiv2017

About conservation the angular momentum for asymmetric tensors in electrodynamics

It is customary to assume that the law of conservation of the angular momentum is violated for an asymmetric energy-momentum tensors. This is the reason for criticizing the Minkowski tensor and other asymmetric energy-momentum tensors. In this paper, it is shown that the laws of conservation of energy and momentum following from an asymmetric tensor in the form of its total divergence are equivalent to the divergence of its symmetric part. It is shown that the total divergence of the antisymmetric part of the asymmetric tensor is identically zero. From this, it follows that for the asymmetric energy-momentum tensor the law of conservation of the angular momentum is also fulfilled. It is shown that the linear invariant of the Minkowski tensor for a vacuum does not correspond to the quadratic invariant of the electromagnetic field. This indicates that the linear invariant of the Minkowski tensor and the three-dimensional stress tensor are not correct.

physics.class-ph↗
arXiv2017

About the Abraham force in a conducting medium

The article is devoted to the Abraham force in a conducting medium. From the energy-momentum tensor of the electromagnetic field interaction with moving charges the equation for the Abraham force is obtained. It is shown that the Abraham force in a conducting medium, as well as in a dielectric medium, has vortical character. Current density vectors and vector potential must be non-collinear

physics.class-ph↗
arXiv2017

A new form of the energy-momentum tensor of the interaction of an electromagnetic field with a non-conducting medium. The wave equations. The electromagnetic forces

The article describes a new approach to obtaining the energy-momentum tensor of electromagnetic field in medium without the use of Maxwell's equations and Poynting theorem. The energy-momentum tensor has new qualities and consequences. Its linear invariant is Lagrange density of the electromagnetic field. From the tensor follows the equation of conservation of energy density, the equation of flux energy density and wave equations for these energy values. Wave equation for momentum density describes simultaneous transfer of momentum and angular momentum regardless of radiation polarization. From the tensor follow the balance equations of the electromagnetic forces for the momentum density in the forms of the Minkowski and Abraham, which proves their equality and mutual supplementation. Equation for Abraham force is obtained as well. It is shown that its divergence is equal to zero. Tensor and the balance equations of electromagnetic forces in a continuous medium are derived.

physics.class-ph↗
arXiv2017

Equation for the Abraham force in non-conducting medium and methods for its measurement

This article is devoted to obtaining an equation for the Abraham force in a continuous non-conducting medium and methods of its measurement. The equation for the Abraham force is obtained from the Minkowski tensor. The Abraham force appears when the vectors D and E, H and B are non-collinear. From the equation for the Abraham force it follows that it is a vortex force, and its divergence is equal to zero. It shows the existence of the Abraham electric force and the magnetic Abraham's force. Various measurement methods of the Abraham force, which follow from its equation, are given.

physics.class-ph↗