Deterministic Mechanism of Irreversibility

  • Vyacheslav Michailovich Somsikov Institute of Ionosphere , head of laboratory "Physics geocosmic relation"
Keywords: irreversibility, classical and quantum mechanics, evolution, entropy, symmetry, Hamilton’s formalism

Abstract

The analytical review of the papers devoted to the deterministic mechanism of irreversibility (DMI) is presented. The history of solving of the irreversibility problem is briefly described. It is shown, how the DMI was found basing on the motion equation for a structured body. The structured body was given by a set of potentially interacting material points. The taking into account of the body’s structure led to the possibility of describing dissipative processes. This possibility caused by the transformation of the body’s motion energy into internal energy. It is shown, that the condition of holonomic constraints, which used for obtaining of the canonical formalisms of classical mechanics, is excluding the DMI in Hamiltonian systems. The concepts of D-entropy and evolutionary non-linearity are discussed. The connection between thermodynamics and the laws of classical mechanics is shown. Extended forms of the Lagrange, Hamilton, Liouville, and Schrödinger equations, which describe dissipative processes, are presented.

Downloads

Download data is not yet available.

References

Prigogine I. From Being to Becoming. Nauka. Moscow. 1980. 342 p.

Zaslavsky G.M. The physics of chaos in Hamiltonian systems. London. Imperial College Press. 2007. 269 p.

Lebowitz J. L. Boltzmann’s entropy and time’s arrow. Phys. Today. Vol. 46 (9). 1993. P.32.

Briggs G.A.D., Butterfield J.N., Zelinger A. The Oxford Question on the foundations of quantum physics. Proc. R. Soc. A. 2013. 8p.

Prigogine I. Time, structure and fluctuations. UFN. 1980. P.185–207.

Callaway H. G. Fundamental Physics, Partial Models and Time’s Arrow. Proc. of the 2015 Conference on Model-based Reasoning, Springer.2016. P. 601-618.

Menskii M.B. Quantum measurements, the phenomenon of life and the arrow of time: the connection between the "three great problems". UFN. 2007. P. 415–425.

Ginzburg V.L., Fortov V.E. and others. Special session ed. Collegium of the journal, dedicated to the 90th anniversary of the Ginzburg V.L. UFN. 2007. P. 345–346.

Lanczos C. The variational principles of mechanics. Mir. Moscow. 1962. 408 p.

Goldstein H. Classical Mechanics. Nauka. Moscow. 1975. 416 p.

Sinai Ya. G. Dynamical system with elastic reflection ergodynamic properties of scattering. Uspekhi Mat. Nauk. Vol.25. 1970. P. 141.

Sinai Ya. G. Modern problems of ergodic theory. FIZMATLIT. Moscow. 1995. 208 p.

Poincare A. About science. Nauka. Moscow: 1983. 559 p.

Rumer Yu. B., Rivkin M. Sh. Thermodynamics, Stat. physics and Kinematics. Nauka. Moscow. 1977. 532 p.

Klein M.J. Max Planck and the Beginning of the Quantum Theory. UFN. Vol. 92. 1967. P.679–700.

Heisenberg V. The discovery of Planck and the basic philosophical problems of the atomic theory of ultraviolet radiation. LHP. 1968. Vol. 2. P.163-175

Landau L.D., Lifshitz E.M. Statistical physics. Moscow. 1976. 583 p.

Gibbs J. W. Elementary principle in statistical mechanics. New Haven. Yale. 1902. 229 p.

Peliti L., Rechtman R. Einstein’s Approach to Statistical Mechanics: The 1902–04 Papers. arXiv:1606.04890v1 [physics.hist-ph] 15 Jun 2016 .

Chirikov B.V. Resonance processes in magnetic traps. Atom.energy.V.6(6) .1959. P. 630-638.

Loskutov A. Yu, Mikhailov A.S. Introduction to Synergetics. M .: Nauka. 1990. 272p.

Kadomtsev B.B. Irreversibility classical and quantum. UFN. 1995. Vol. 165. P.967–973.

Haytun S.D. Fundamental entity of evolution. Questions of philosophy Vol. 2. (62). 2013.

Kryilov N. Papers on substantiation of stat. physics. L. Pub. House USSR AS 1950 208 p.

Tsallis C., Baldovin F., Cerbino R., et.all. InternetPrep.Xiv:cond–mat/03094093 2003.– 4Spt

Klimontovich Yu. L. Statistical theory of open systems. Janus. Moscow. 1995. 622 p.

Somsikov V.M. Non-recurrence problem in evolution of a hard-disk system. Intern. Jour. Bifurc. And Chaos. 2001. Vol 11(11). P. 2863-2866.

Somsikov V.M. The equilibration of a hard-disks system. IJBC.2004.V.14 (11).P.4027-4033.

Carvalho D. Irreversibility in Classical Mechanics and the Arrow of Time. PX000 Foundations of Physics. 2012. P.1-2

Somsikov V.M. To the basics of the physics of evolution. Almaty. 2016. 269 p.

Somsikov V.M. The Dynamical Entropy. Intern. Journ. of Sci. Vol 4 (5). 2015. P. 30-36.

Somsikov V.M. Transition from the mechanics of material points to the mechanics of structured particles. Modern Physics Letter B. Vol. 4. 2016. P.1-11.

Lyubarskii G.Y. Group theory and its application in physics. Fiz.mat, Moscow. 1958. 358 p.

Wigner E. Symmetry breaking in physics. UFN. 1966. Vol.89. P.453–466.

Somsikov V M., Andreev A.B. On criteria of transition to thermodynamic description of system dynamics. Russian Physics Journal. Vol. 58(11). 2016. P. 1515–1526.

Somsikov V.M., A.B. Andreyev A.B., Mokhnatkin A.I. Relation between classical mechanics and physics of condensed medium. Intern. Journal of Physical Sci. Vol. 10(3). 2017. pp. 112-122.

Somsikov V.M. Non-Linearity of Dynamics of the Non-Equilibrium Systems. World Journal of Mechanics. Vol. 2(7). 2017. P.11-23.

Somsikov V.M. Limitation of classical mechanics and ways it’s expansion. ISHEPP XXII. Dubna, 2014. P.1-12.

Somsikov V.M. Extension of the Schrodinger equation. ISHEPP XXIII. Dubna, 2017. P.1-7.

Somsikov V M How irreversibility was lost in classical mechanics and how it’s can be returned. Proc. of 8 - th. Chaotic Modeling and Simulation Intern. Confer.-Paris, 2015. P. 803.

Somsikov V.M. Irreversibility and physics of evolution. Proc. of 10- th Chaotic Modeling and Simulation Internat. Confer. Barcelona, 2018. ?.789-803.

Penrose O. Reversibility and irreversibility. (“PDE and Materials”, report no.44/2006 of the Mathematisches Forschungsintitut Oberwolfach (ed. J.M. Ball, R.D. James and S.Muller) )

Castelvecchi D. Battle between quantum and thermodynamic laws heats up. Nature. 2017. Vol. 543. 597 p.

Verlinde E. On the origin of gravity and the laws of Newton // JHEP. 2011.

Dil Emre, Tugrul Yumak. Entropic origin of the fundamental forces. arXiv:1702.04635v1 [physics.gen-ph] 11 Feb 2017. 5 p. https://arxiv.org/pdf/1702.04635v2.pdf

Atanasov V.Entropic theory of Gravity.arXiv:1702.04184v1[physics.gen-ph] 8 Feb 2017.13p.

Schrödinger A. An undulatory theory of the mechanics of atoms and molecules. Physical Review Vol. 28. P. 1049 1926.

Levich V.G., Vdovin Yu .A., Mamulin V. A. Course in Theoretical Physics I. Moscow: Phys.-Math. Lit. 1962. 936 p.

Greenstein, J., Zaionz A. Quantum challenge. Modern research of the foundations of quantum mechanics. Dolgoprudny, Intellect. 2012. P.24-30.

Somsikov V.M. Problems of Evolution of Open Systems. PEOS. 2007. Vol.2 (5).

Milgrom M. A. A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis. The astrophysics Journal. 1983. Vol. 270. P.365.

Published
2018-09-25
How to Cite
Somsikov, V. M. (2018). Deterministic Mechanism of Irreversibility. JOURNAL OF ADVANCES IN PHYSICS, 14(3), 5708-5733. https://doi.org/10.24297/jap.v14i3.7759
Section
Articles

Most read articles by the same author(s)