Deindividuation phenomenon: Links between mesodynamics and macroscopic phenomenology of turbulence

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• 作者：A. M. Mukhamedov (1)
  
  1. Kazan National Research Technical University ; Kazan ; 420111 ; Russia
  
• 关键词：deindividuation effect ; gauge fields ; mesomechanics of turbulence ; Pfaff non ; integrability
• 刊名：Physical Mesomechanics
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：18
• 期：1
• 页码：24-32
• 全文大小：108 KB
• 参考文献：1. Goldshtik, MA (1982) Dynamic, Equilibrium and Flow Structures in Turbulence. Structural Turbulence. SO AN SSSR, Novosibirsk, pp. 5-12
  2. Mukhamedov, AM (2007) Turbulence: Concept of Gauge Structures. Izd-vo Kazan National Research Tech. Univ., Kazan
  3. Zelenyi, LM, Milovanov, AV (2004) Fractal Topology and Strange Kinetics: From Percolation Theory to Problems in Cosmic Electrodynamics. Phys. Usp. 47: pp. 749-788 CrossRef
  4. Konopleva, NP, Popov, VN (1981) Gauge Fields. Harwood Academic Publishers, New York
  5. Yoshida, S (2005) Physical Mesomechanics as a Field Theory. Phys. Mesomech. 8: pp. 15-20
  6. Petrov, AZ (1969) Modeling of Trajectories of Test Bodies in the Gravity Field. DAN SSSR 186: pp. 1302-1305
  7. Mukhamedov, AM (1982) Symmetry Properties of the Motion of Charged Bodies in General Relativity. Russ. Phys. J. 25: pp. 369-372
  
• 刊物主题：Mechanics; Solid State Physics; Materials Science, general;
• 出版者：Springer US
• ISSN：1990-5424

文摘

The paper develops the earlier declared original approach to elaboration of a turbulence theory based on mathematical modeling of deindividuation of particles moving in a turbulent medium. It is shown that modeling of the deindividuation inevitably leads to gauge structures. It is found that the existing statistical concepts of turbulence are inapplicable to this type of problems. In the approach, new links between mesodynamics and macroscopic phenomenology of turbulence are established making possible new solutions based on synthesis of relevant equations.