The Dynamical Entropy

The Dynamical Entropy

Author(s)

V. M. Somsikov

Download Full PDF DOI: 10.18483/ijSci.712 Downloads: 280 Views: 611 Pages: 30-36

Volume 4 - May 2015 (05)

Abstract

The concept of dynamic entropy (D-entropy), proposed in the mechanics of structured particles is discussed. D-entropy is defined as the relative increase in the internal energy of the system due to its motion energy in the inhomogeneous field of external force. D-entropy is determined completely from the motion equation of the system without any statistical laws. Comparison of D-entropy with thermodynamic entropy of Clausius, Boltzmann's entropy and Kolmogorov - Sinai entropy is performed. The numerical results calculations of the changes of the systems’ D-entropy consisting from the different numbers of elements during their motions into the non-homogeneous space are given. Areas of application D- entropy and the possibility of its use for the analysis of dynamic systems are discussed.

Keywords

Dynamics, Entropy, Irreversibility, Classical Mechanics

References

  1. Rumer Yu.B., Rivkin M.Sh. Thermodynamics, Stat. physics and Kinematics. Moscow. Nauka. 1977. 532 p;
  2. Lebowitz J.L. Boltzmann’s entropy and time’s arrow. Phys. Today. 1999. р. 32-38; http://dx.doi.org/10.1063/1.881363
  3. Landau L.D., Lifshitz E.M. Statistical physics. Moscow.1976.583 p;
  4. Zaslavsky G.M. Stochasticity of dynamic systems. Moscow. Nauka.1984, 273p;
  5. Ginzburg V.L. Special session of Editorial board of the Journal of Physics-Uspekhi, honoring the 90th anniversary of VL Ginzburg. Advance Physics of Sci. 2007. 177 (4). p. 345-346;
  6. Sinai Y.G. Modern problems of ergodic theory. M.: FIZMATLIT. 1995. 208 p;
  7. Sinai Ya. G. Introduction to Ergodic Theory, Princeton University Press, Princeton. New Jersey USA. 1976. 144 p;
  8. Loskutov A.Y., Mikhailov A.S. Introduction to Synergetics. Nauka, Moscow.1990. 272 p;
  9. Loskutov A.Y. The charm of chaos. Phys. 2010.V.150. â„– 12. p. 1305-1329;
  10. Klimontovich Y.L. The statistical theory of open systems. Moscow. Janus. 1995. 292 p; http://dx.doi.org/10.1007/978-94-011-0175-2
  11. Somsikov V.M. Thermodynamics and classical mechanics, Journal of physics: Conference series. 23. 2005. p.7-16; http://dx.doi.org/10.1088/1742-6596/23/1/002
  12. Somsikov V.M. From the Newton's mechanics to the physics of the evolution. Almaty. 2014. 272 p;
  13. Goldstein G. Classical Mechanics. Moscow.1975. 416 p;
  14. Somsikov V.M. Why It Is Necessary to Construct the Mechanics of Structured Particles and How to do it. Open Access Library Journal, 2014, 1PP. 1-8, DOI: 10.4236/oalib.1100586; http://dx.doi.org/10.4236/oalib.1100586
  15. Lyubarskii G.Y. Group theory and its applications in physics, Nauka, Moscow 1958,p.354;
  16. Smoluchowski M. Boundaries of validity of the second law of thermodynamics. Uspehi Fizicheskih Nauk. 1967. v.93. iss. 4. p. 724-737;
  17. Haytun S.D. Mechanics and irreversibility. (1996). Janus. Moscow. 448 p;
  18. Somsikov V.M., Denisenya M.I. Features of the oscillator passing through potential barrier. Proceedings of the universities. Series Physics. №. 3. March. 2013. p. 95–103; http://dx.doi.org/10.1007/s11182-013-0056-y
  19. Somsikov V.M., Andreyev A.B., Mokhnatkin A.I. Relation between classical mechanics and physics of condensed medium International Journal of Physical Sciences. Vol. 10(3), pp. 112-122.

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International Journal of Sciences is Open Access Journal.
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Author(s) retain the copyrights of this article, though, publication rights are with Alkhaer Publications.

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