# The virial theorem and the kinetic energy of particles of a macroscopic system in the general field concept

@article{Fedosin2017TheVT, title={The virial theorem and the kinetic energy of particles of a macroscopic system in the general field concept}, author={Sergey G. Fedosin}, journal={Continuum Mechanics and Thermodynamics}, year={2017}, volume={29}, pages={361-371} }

The virial theorem is considered for a system of randomly moving particles that are tightly bound to each other by the gravitational and electromagnetic fields, acceleration field and pressure field. The kinetic energy of the particles of this system is estimated by three methods, and the ratio of the kinetic energy to the absolute value of the energy of forces, binding the particles, is determined, which is approximately equal to 0.6. For simple systems in classical mechanics, this ratio… Expand

#### 11 Citations

THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL

- Physics
- 2019

The total energy, binding energy, energy of fields, pressure energy and the potential energy of the system consisting of particles and four fields is precisely calculated in the relativistic uniform… Expand

The integral theorem of the field energy

- Physics
- 2019

The integral theorem of the vector field energy is derived in a covariant way, according to which under certain conditions the potential energy of the system’s field turns out to be half as large in… Expand

The integral theorem of generalized virial in the relativistic uniform model

- Physics
- 2019

In the relativistic uniform model for continuous medium, the integral theorem of generalized virial is derived, in which generalized momenta are used as particles’ momenta. This allows us to find… Expand

The Gravitational Field in the Relativistic Uniform Model within the Framework of the Covariant Theory of Gravitation

- Physics
- 2018

For the relativistic uniform system with an invariant mass density the exact expressions are determined for the potentials and strengths of the gravitational field, the energy of particles and… Expand

The potentials of the acceleration field and pressure field in rotating relativistic uniform system

- 2021

The scalar and vector potentials of the acceleration field and the pressure field are calculated for the first time for a rotating relativistic uniform system, and the dependence of the potentials on… Expand

The Generalized Poynting Theorem for the General Field and Solution of the 4/3 Problem

- Physics
- 2019

The generalized Poynting theorem is applied to the equilibrium system of particles, both inside and outside the system. The particles are bound to each other by means of the electromagnetic and… Expand

ON THE STRUCTURE OF THE FORCE FIELD IN ELECTRO

- 2021

Analysis of field equations for the tensors of mass and charge components of the general field shows that their source is the charge four-current. In this connection, an assumption is made that there… Expand

Two Components of the Macroscopic General Field

- Physics
- 2017

The general field, containing all the macroscopic fields in it, is divided into the mass component, the source of which is the mass four-current, and the charge component, the source of which is the… Expand

Energy and Metric Gauging in the Covariant Theory of Gravitation

- Physics
- 2018

Relations for the relativistic energy and metric are analyzed inside and outside the body in the framework of the covariant theory of gravitation. The methods of optimal energy gauging and equations… Expand

Equations of Motion in the Theory of Relativistic Vector Fields

- Physics
- 2019

International Letters of Chemistry, Physics and Astronomy (Volume 83): Equations of Motion in the Theory of Relativistic Vector Fields

#### References

SHOWING 1-10 OF 13 REFERENCES

Relativistic Energy and Mass in the Weak Field Limit

- Physics
- 2015

Within the framework of the covariant theory of gravitation (CTG) the energy is calculated for a system with continuously distributed matter, taking into account the contribution of the gravitational… Expand

About The Cosmological Constant, Acceleration Field, Pressure Field And Energy

- Physics
- 2016

Based on the condition of relativistic energy uniqueness, the calibration of the cosmological constant was performed. This allowed to obtain the corresponding equation for the metric and to determine… Expand

Estimation of the physical parameters of planets and stars in the gravitational equilibrium model

- Physics
- 2016

The motion equations of matter in a gravitational field, acceleration field, pressure field, and other fields are considered based on the field theory. This enables us to derive simple formulas in… Expand

The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field

- Physics
- 2014

As a result of integration of the equations of motion with regard to the pressure field and acceleration field the system’s integral energy-momentum 4-vector is found. It is shown that this vector in… Expand

On the generalized virial theorem for systems with variable mass

- Physics
- 2016

We presently extend the virial theorem for both discrete and continuous systems of material points with variable mass, relying on developments presented in Ganghoffer (Int J Solids Struct… Expand

On the generalized virial theorem and Eshelby tensors

- Mathematics
- 2010

The formal relationships between the scalar and tensorial virials and Eshelby tensors have been presently investigated. The key idea is to evaluate the Eshelby stress from discrete or atomistic… Expand

The Concept of the General Force Vector Field

- Physics
- 2014

A hypothesis is suggested that the fields associated with macroscopic
bodies, such as classical electromagnetic and gravitational fields,
acceleration field, pressure field, dissipation field, strong… Expand

The procedure of finding the stress-energy tensor and equations of vector field of any form

- Mathematics, Physics
- 2014

A method allowing us to introduce into the Lagrangian the terms, which characterize an arbitrary vector field of a system, is described. As a result of applying the principle of least action it… Expand

Small Molecular Clouds: Deep IRAS Photometry and 12CO Spectroscopy

- Physics
- 1989

The entire sample of small molecular clouds cataloged by Clemens and Barvainis (1988) has been probed using deep, coadded IRAS survey data analysis and (C-12)O spectroscopy. The far-IR colors are… Expand

Gravitational Physics Of Stellar And Galactic Systems

- Physics
- 2016

Thank you very much for downloading gravitational physics of stellar and galactic systems. As you may know, people have search hundreds times for their favorite books like this gravitational physics… Expand