Computer Modelling of Processes of Synergetics. «Living» Structures

  • Alexander V. Liapzev Herzen State Pedagogical University of Russia, Moika river embankment, 48, 191186, Saint Petersburg, Russia
Keywords: synergetics, self-organization processes, mathematical model, dissipation, computer modeling

Abstract

A model demonstrating the properties of self-organizing systems and based on two-dimensional motion of interacting particles is proposed. The pairwise interaction between particles is described by the Lenard-Jones potential. The dissipativity property which is necessary for self-organization is provided by the introduction of velocitydependent forces arising in the collision of particles. The influence of the external environment is described by the gradual weakening ("aging") of the bonds between the particles, when they are combined into structures. The results of numerical calculations illustrate all the features of systems capable of self-organization: the formation of structures from the initial chaotic state and subsequent evolution with the constant decay of existing structures and the formation of new structures. Such properties are typical, for example, for the structures of living matter.

Author Biography

Alexander V. Liapzev, Herzen State Pedagogical University of Russia, Moika river embankment, 48, 191186, Saint Petersburg, Russia

PhD, Professor of the Department of methods of teaching physics at RSPU.
A. I. Herzen, upm_eno@mail.ru

References

G. Khaken, Sinergetika [Synergetics], Moscow: Mir, 1980 (in Russian).

S. E. Popov, Metodicheskaya sistema podgotovki uchitelya v oblasti vychislitel’noi fiziki: Monografiya [Methodological system for teacher training in the field of computational physics: Monograph], Nizhnii Tagil, Russia: NTGSPA, 2005 (in Russian).

I. N. Klumova, “Igra «Zhizn’»” [Conway’s Game of Life], Kvant, no. 9, pp. 26–30, 1974 (in Russian).

I. G. Kaplan, Vvedenie v teoriyu mezhmolekulyarnykh vzaimodeistvii [Introduction to the theory of intermolecular interactions], Moscow, USSR: Nauka, 1982 (in Russian).

Published
2019-09-30
How to Cite
Liapzev, A. V. (2019). Computer Modelling of Processes of Synergetics. «Living» Structures. Computer Tools in Education, (3), 44-51. https://doi.org/10.32603/2071-2340-2019-3-44-51
Section
Algorithmic mathematics and mathematical modelling