Computer Modelling of Processes of Self-Organization. Analogy to Benar's Cells
Keywords:
processes of self-organization, mathematical model, spatial structures, computational simulation
Abstract
The model based on the classical movement of a particle in the area limited by walls, that can exchange energy with the particle is considered. The energy of the particle can increase or decrease depending of the temperature of the wall. As shows modeling, in the presence of temperature gradient in such model this system can contain processes which are analogical to processes of self-organization. Namely the trajectory of particle in phase space tends to one of elementary cyclic attractors. Mathematical simplicity of model allows to use her in the course of training because it demands from the trained minimum skills of programming.
References
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[2] A. A. Denisevich and A. V. Lyapcev, “Igry na “teplykh bil'yardakh.” Naglyadnaya demonstratsiya ponyatii, kharakterizuyushchikh nelineinye sistemy: attraktory, bifurkatsii, gisterezis” [Playing “Warm Billiards”. Visual demonstration of the concepts, characterizing nonlinear systems: attractors, bifurcations, hysteresisn], Computer tools in education, no. 5, pp. 42–49, 2014 (in Russian).
[3] A. A. Denisevich and A. V. Lyapcev, “Prosteishaya model' dlya demonstratsii obrazovaniya prostranstvennykh struktur pri izuchenii protsessov samoorganizatsii” [The simple model for demonstration of spatial structures formation on studying the processes of self-organization], Computer tools in education, no. 1, pp. 36–43, 2014 (in Russian).
[4] E. N. Knyazeva and S. P. Kurdyumov, Osnovaniya sinergetiki. Chelovek, konstruiruyushchii svoe budushchee [Foundations of synergetics. A man constructing his future], Moscow, Russia: KomKniga, 2007 (in Russian).
[5] S. E. Popov, Metodicheskaya sistema podgotovki uchitelya v oblasti vychislitel'noi fiziki: Monografiya [Methodical system of teacher training in the field of computational physics: Monograph], Nizhnii Tagil, Russia: NTGSPA, 2005 (in Russian).
Published
2017-06-20
How to Cite
Денисевич, А. А., & Ляпцев, А. В. (2017). Computer Modelling of Processes of Self-Organization. Analogy to Benar’s Cells. Computer Tools in Education, (1), 38-44. Retrieved from http://cte.eltech.ru/ojs/index.php/kio/article/view/1435
Issue
Section
Computers in the teaching process
This work is licensed under a Creative Commons Attribution 4.0 International License.
