American Journal of Modern Physics

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A Role of the Conservation Laws in Evolutionary Processes and Generation of Physical Structures

Received: 20 March 2013    Accepted:     Published: 02 May 2013
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Abstract

It is well known that the equations of conservation laws for energy, linear momentum, angular momentum, and mass are the equations of mechanics and physics of continuous media that describe material systems such as the thermodynamical, gas-dynamical and cosmological systems. And the field-theory equations, which are used for description of physical fields, are based on the conservation laws that one commonly relates with conservative quantities or objects. It is shown that to conservation laws for physical fields are assigned the closed exterior forms, which follow from the equations of conservation laws for material systems. The process of realization such closed exterior form describes the occurrence of observable formations in material systems (such as waves) and the generation of physical structures, the examples of which are physical structures that form physical fields.

DOI 10.11648/j.ajmp.20130203.12
Published in American Journal of Modern Physics (Volume 2, Issue 3, May 2013)
Page(s) 104-110
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Two Types of Conservation Laws, the Equations of Material Systems, Evolutionary Relation, Skew-Symmetric Forms, the Field-Theory Equation

References
[1] R. W. Haywood, Equilibrium Thermodynamics, Wiley Inc., 1980.
[2] E. Cartan, Les Systemes Differentials Exterieus ef Leurs Application Geometriques. -Paris, Hermann, 1945.
[3] L. I. Petrova, Exterior and evolutionary differential forms in mathematical physics: Theory and Applications, -Lulu.com, 2008, 157pp.
[4] L. I. Petrova, "Role of skew-symmetric differential forms in mathematics," 2010, http://arxiv.org/abs/1007.4757
[5] J. F. Clarke, M. Machesney, The Dynamics of Real Gases. Butterworths, London, 1964.
[6] R. C. Tolman, Relativity, Thermodynamics, and Cosmology. Clarendon Press, Oxford, UK, 1969.
[7] L. I. Petrova, "Physical meaning and a duality of concepts of wave function, action functional, entropy, the Pointing vector, the Einstein tensor," Journal of Mathematics Research, Vol. 4, No. 3, 2012, pp. 78-88.
[8] L. I. Petrova, "Integrability and the properties of solutions to Euler and Navier-Stokes equations," Journal of Mathematics Research, Vol. 4, No. 3, 2012, pp. 19-28.
[9] L. I. Petrova, "The noncommutativity of the conservation laws: Mechanism of origination of vorticity and turbulence," International Journal of Theoretical and Mathematical Physics, Vol.2, No.4, 2012, pp.84-90.
[10] L. I. Petrova, "Exterior and evolutionary skew-symmetric differential forms and their role in mathematical physics," 2003, http://arxiv.org/pdf/math-ph/0310050v1.pdf
[11] I. Prigogine, Introduction to Thermodynamics of Irreversible Processes.-C. Thomas, Springfild, 1955.
[12] P. Glansdorff, I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations. Wiley, N.Y., 1971.
Author Information
  • Department of Computational Mathematics and Cybernetics, Moscow State University, Russia

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  • APA Style

    L. Petrova. (2013). A Role of the Conservation Laws in Evolutionary Processes and Generation of Physical Structures. American Journal of Modern Physics, 2(3), 104-110. https://doi.org/10.11648/j.ajmp.20130203.12

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    ACS Style

    L. Petrova. A Role of the Conservation Laws in Evolutionary Processes and Generation of Physical Structures. Am. J. Mod. Phys. 2013, 2(3), 104-110. doi: 10.11648/j.ajmp.20130203.12

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    AMA Style

    L. Petrova. A Role of the Conservation Laws in Evolutionary Processes and Generation of Physical Structures. Am J Mod Phys. 2013;2(3):104-110. doi: 10.11648/j.ajmp.20130203.12

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  • @article{10.11648/j.ajmp.20130203.12,
      author = {L. Petrova},
      title = {A Role of the Conservation Laws in Evolutionary Processes and Generation of Physical Structures},
      journal = {American Journal of Modern Physics},
      volume = {2},
      number = {3},
      pages = {104-110},
      doi = {10.11648/j.ajmp.20130203.12},
      url = {https://doi.org/10.11648/j.ajmp.20130203.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmp.20130203.12},
      abstract = {It is well known that the equations of conservation laws for energy, linear momentum, angular momentum, and mass are the equations of mechanics and physics of continuous media that describe material systems such as the thermodynamical, gas-dynamical and cosmological systems. And the field-theory equations, which are used for description of physical fields, are based on the conservation laws that one commonly relates with conservative quantities or objects. It is shown that to conservation laws for physical fields are assigned the closed exterior forms, which follow from the equations of conservation laws for material systems. The process of realization such closed exterior form describes the occurrence of observable formations in material systems (such as waves) and the generation of physical structures, the examples of which are physical structures that form physical fields.},
     year = {2013}
    }
    

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