Contemporary Problems of Ecology

, Volume 3, Issue 3, pp 272–278 | Cite as

Spatial-temporal symmetries of physical phenomena in soil

  • A. V. Chichulin


Anumber of methodological issues concerning the use of group-theoretical methods in soil physics are considered. The relationship between the choice of space-time geometry for the phenomena studied and the physical laws governing these phenomena is analyzed. The dependence between the choice of quantitative standards of physical quantities and invariance of the laws describing the relationship between these quantities is considered as a particular case. Procedures of generalizing traditional symmetries are demonstrated by several examples. In particular, the principle of superposition of similarity symmetries is formulated for the theoretical description of the soil moisture characteristic (SMC) and thermophysical coefficients of soils; it is shown that soil temperature conditions can be mathematically modeled without solving the heat conduction equation. It is noted that symmetry analysis provides a deeper understanding of the structural-functional concept of the physical properties of soil. The problems considered are illustrated by particular equations.

Key words

complex systems physical properties of soil group theory similarity superposition of symmetries 


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  1. 1.
    V. R. Volobuev, Introduction to the Energetics of Soil Formation (Nauka, Moscow, 1974) [in Russian].Google Scholar
  2. 2.
    B. N. Michurin, Energetics of Soil Moisture (Gidrometeoizdat, Leningrad, 1975) [in Russian].Google Scholar
  3. 3.
    A. A. Gukhman, Introduction to Similarity Theory (Vysshaya Shkola, Moscow, 1973) [in Russian].Google Scholar
  4. 4.
    A. M. Mostepanenko, “Complementarity of Physics and Geometry (Einstein and Poincare),” in Einstein and Philosophical Problems of Physics of the 20th Century (Nauka, Moscow, 1979), pp. 223–254 [in Russian].Google Scholar
  5. 5.
    A. Einstein, Physics and Reality (Nauka, Moscow, 1965) [Russian translation].Google Scholar
  6. 6.
    M. D. Akhundov, Problem of Continuity and Discontinuity of Space and Time (Nauka, Moscow, 1974) [in Russian].Google Scholar
  7. 7.
    A. I. Panchenko, Logical-Gnoseological Problem of Quantum Physics (Nauka, Moscow, 1981) [in Russian].Google Scholar
  8. 8.
    A. I. Panchenko, Philosophy, Physics, and Microcosm (Nauka, Moscow, 1988) [in Russian].Google Scholar
  9. 9.
    V. I. Vernadsky, Chemical Structure of the Earth’s Biosphere and Its Environment (Nauka, Moscow, 1965) [in Russian].Google Scholar
  10. 10.
    H. Weyl, Symmetry (Nauka, Moscow, 1969) [Russian translation].Google Scholar
  11. 11.
    A. P. Levich, “Metabolic Time of Natural Systems,” in System Studies (Nauka, Moscow, 1989), pp. 304–325 [in Russian].Google Scholar
  12. 12.
    A. D. Armand and V. O. Targyl’yan, “Principle of Complementarity and Characteristic Time in Soil Geography,” in System Studies (Nauka, Moscow, 1974), pp. 146–153 [in Russian].Google Scholar
  13. 13.
    I. N. Stepanov, Forms in theWorld of Soils (Nauka, Moscow, 1986) [in Russian].Google Scholar
  14. 14.
    I. N. Stepanov, Space and Time in the Science of Soil: Non-Dokuchaev Soil Science (Nauka, Moscow, 2003) [in Russian].Google Scholar
  15. 15.
    I. N. Stepanov, Theory of Relief Plastics and New Maps (Nauka, Moscow, 2006) [in Russian].Google Scholar
  16. 16.
    M. E. Omel’yanovskii, “Philosophical Aspects of the Theory of Measurement,” in Materialistic Dialectics and Methods of Natural Sciences (Nauka, Moscow, 1968), pp. 207–255 [in Russian].Google Scholar
  17. 17.
    I. S. Alekseev, “Symmetry, Invariance, Reality,” in Symmetry Principle (Historical-Methodological Problems) (Nauka, Moscow, 1978), pp. 47–88 [in Russian].Google Scholar
  18. 18.
    A. M. Globus, Experimental Soil Hydrophysics (Gidrometeoizdat, Leningrad, 1969) [in Russian].Google Scholar
  19. 19.
    A. V. Chichulin and L. Yu. Dits, “Symmetry of Physical Phenomena in Soils,” in Organization of Soil Systems, Vol. 1: Works of the 2nd National Conference with International Participation (Pushchino, 2007), pp. 62–65 [in Russian].Google Scholar
  20. 20.
    A. V. Chichulin and T. N. Elizarova, “Heuristic Nature of the Similarity Principle in Soil Physics,” Sibirskii Ekologicheskii Zh. 11(3), 433 (2004).Google Scholar
  21. 21.
    A. D. Voronin, Structural-Functional Hydrophysics of Soils (Mosk. Gos. Univ., Moscow, 1984) [in Russian].Google Scholar
  22. 22.
    G. Sposito, The Thermodynamics of Soil Solutions (Gidrometeoizdat, Leningard, 1984) [in Russian].Google Scholar
  23. 23.
    A. M. Globus, Soil-Hydrophysical Support of Agroecological Models (Gidrometeoizdat, Leningard, 1987) [in Russian].Google Scholar
  24. 24.
    S. P. Kurdyumov, G. G. Malinetskii, G. G. Potapov, and A. A. Samarskii, “Structures in Nonlinear Media,” in Computers and Nonlinear Phenomena: Computer Science and Modern Natural Sciences (Nauka, Moscow, 1988), pp. 5–43 [in Russian].Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Institute of Soil Science and AgrochemistrySiberian Branch of the Russian Academy of SciencesNovosibirskRussia

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