A Role of the Conservation Laws in Evolutionary Processes and Generation of Physical Structures
American Journal of Modern Physics
Volume 2, Issue 3, May 2013, Pages: 104-110
Received: Mar. 20, 2013;
Published: May 2, 2013
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L. Petrova, Department of Computational Mathematics and Cybernetics, Moscow State University, Russia
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.
A Role of the Conservation Laws in Evolutionary Processes and Generation of Physical Structures, American Journal of Modern Physics.
Vol. 2, No. 3,
2013, pp. 104-110.
R. W. Haywood, Equilibrium Thermodynamics, Wiley Inc., 1980.
E. Cartan, Les Systemes Differentials Exterieus ef Leurs Application Geometriques. -Paris, Hermann, 1945.
L. I. Petrova, Exterior and evolutionary differential forms in mathematical physics: Theory and Applications, -Lulu.com, 2008, 157pp.
L. I. Petrova, "Role of skew-symmetric differential forms in mathematics," 2010, http://arxiv.org/abs/1007.4757
J. F. Clarke, M. Machesney, The Dynamics of Real Gases. Butterworths, London, 1964.
R. C. Tolman, Relativity, Thermodynamics, and Cosmology. Clarendon Press, Oxford, UK, 1969.
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.
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.
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.
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
I. Prigogine, Introduction to Thermodynamics of Irreversible Processes.-C. Thomas, Springfild, 1955.
P. Glansdorff, I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations. Wiley, N.Y., 1971.