Path Integral Method in the Mean-field Model for the Magnetic Vector Potential
| Autor: | C. R. Kamaletdinov, Egor Yushkov, Dmitry Sokoloff |
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| Rok vydání: | 2020 |
| Předmět: |
Random field
010504 meteorology & atmospheric sciences Field (physics) Mathematical analysis Isotropy 01 natural sciences Geophysics Mean field theory Space and Planetary Science 0103 physical sciences Path integral formulation Vector field Magnetic potential 010303 astronomy & astrophysics 0105 earth and related environmental sciences Mathematics Vector potential |
| Zdroj: | Geomagnetism and Aeronomy. 60:989-992 |
| ISSN: | 1555-645X 0016-7932 |
| DOI: | 10.1134/s0016793220070300 |
| Popis: | The method of path integrals is used to average the magnetic-induction equation written for the vector potential over the velocity field. This approach avoids the assumption that the random field is two-scale, replacing it with the assumption of short time correlations. As a result of averaging, the classical equation of the mean field is obtained, at least for a homogeneous and isotropic medium. Based on the developed approach, the problem of the average field solenoidality is discussed, as well as a possible generalization of the method to the case of a statistically inhomogeneous and anisotropic flow. |
| Databáze: | OpenAIRE |
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