Synergetic dialogue 'physics – medicine': Hexagons in living and inanimate nature
| Autor: | A.V. Chalyi |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Critical phenomena Physical system 02 engineering and technology Renormalization group 010402 general chemistry 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Atomic and Molecular Physics and Optics 0104 chemical sciences Electronic Optical and Magnetic Materials Universality (dynamical systems) Nonlinear system Theoretical physics symbols.namesake Conformal symmetry Materials Chemistry symbols Feynman diagram Ising model Physical and Theoretical Chemistry 0210 nano-technology Spectroscopy |
| Zdroj: | Journal of Molecular Liquids. 329:114248 |
| ISSN: | 0167-7322 |
| DOI: | 10.1016/j.molliq.2020.114248 |
| Popis: | This article is a review and at the same time contains a number of original ideas and results that allow formulating the principal reason for the hexagon formation in systems of animate and inanimate nature. The main goal of this study lies in the application of synergetic methods at the border of physics and medicine. More precisely, a synergetic analogy is considered between two systems of absolutely different nature in which hexagonal structures arise, namely: (a) the physical system of Benard cells and (b) the neurophysiological system of grid cells in the brain (Nobel Prize in physiology or medicine in 2014, which was awarded to J.O'Keefe, E.I.Moser, and M.-B.Moser). To explain the principal reason of the hexagon formation in the brain, “Feynman's classification of three stages in studying natural phenomena” is proposed to use, especially the 3rd stage of studying, associated with the understanding first principles underlying these phenomena. On the basis of the proposed fluctuation model, in which the Ginzburg-Landau Hamiltonian, the Polyakov hypothesis of conformal invariance, and Haken results on Benard cells are used, the first principle for the hexagon formation in system of grid cells is formulated as a manifestation of the nonlinear interaction of order-parameter fluctuations. The vertices of the virtual hexagon in 6-grid lattice represent the geometric place of those points at which the interaction of fluctuations is realized and the action potential (AP), i.e. a so-called “firing of AP”, appears in neurons. In accordance with the universality hypothesis and synergetic similarity of hexagon formation in systems of Benard and grid cells, these both systems should belong to the same universality class of the 3-dimensional Ising model having a scalar order parameter. This class of universality includes classic liquids and liquid mixtures, liquid crystals in the Maier-Saupe approximation, chemically reacting system of grid cells in the brain and other systems. Another goal of the article is to attract the attention of researchers (not only physicists, chemists and mathematicians, but also neurophysiologists, biologists and physicians) to the problem of structure formation in living and inanimate world, using ideas of the fluctuation theory of phase transitions and critical phenomena, statistical thermodynamics, universality classes, scaling and conformal invariance hypotheses. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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