Symmetry Breaking in Stochastic Dynamics and Turbulence
Symmetries play paramount roles in dynamics of physical systems. All theories of quantum physics and microworld including the fundamental Standard Model are constructed on the basis of symmetry principles. In classical physics, the importance and weight of these principles are the same as in quantum...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/10/1193 |
| _version_ | 1797999357140664320 |
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| author | Michal Hnatič Juha Honkonen Tomáš Lučivjanský |
| author_facet | Michal Hnatič Juha Honkonen Tomáš Lučivjanský |
| author_sort | Michal Hnatič |
| collection | DOAJ |
| description | Symmetries play paramount roles in dynamics of physical systems. All theories of quantum physics and microworld including the fundamental Standard Model are constructed on the basis of symmetry principles. In classical physics, the importance and weight of these principles are the same as in quantum physics: dynamics of complex nonlinear statistical systems is straightforwardly dictated by their symmetry or its breaking, as we demonstrate on the example of developed (magneto)hydrodynamic turbulence and the related theoretical models. To simplify the problem, unbounded models are commonly used. However, turbulence is a mesoscopic phenomenon and the size of the system must be taken into account. It turns out that influence of outer length of turbulence is significant and can lead to intermittency. More precisely, we analyze the connection of phenomena such as behavior of statistical correlations of observable quantities, anomalous scaling, and generation of magnetic field by hydrodynamic fluctuations with symmetries such as Galilean symmetry, isotropy, spatial parity and their violation and finite size of the system. |
| first_indexed | 2024-04-11T11:03:29Z |
| format | Article |
| id | doaj.art-e0517aaf7e6c49208adc92ec8f9d4a4b |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T11:03:29Z |
| publishDate | 2019-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-e0517aaf7e6c49208adc92ec8f9d4a4b2022-12-22T04:28:29ZengMDPI AGSymmetry2073-89942019-09-011110119310.3390/sym11101193sym11101193Symmetry Breaking in Stochastic Dynamics and TurbulenceMichal Hnatič0Juha Honkonen1Tomáš Lučivjanský2Faculty of Science, Šafárik University, Moyzesova 16, 040 01 Košice, SlovakiaDepartment of Military Technology, National Defence University, 00861 Helsinki, FinlandFaculty of Science, Šafárik University, Moyzesova 16, 040 01 Košice, SlovakiaSymmetries play paramount roles in dynamics of physical systems. All theories of quantum physics and microworld including the fundamental Standard Model are constructed on the basis of symmetry principles. In classical physics, the importance and weight of these principles are the same as in quantum physics: dynamics of complex nonlinear statistical systems is straightforwardly dictated by their symmetry or its breaking, as we demonstrate on the example of developed (magneto)hydrodynamic turbulence and the related theoretical models. To simplify the problem, unbounded models are commonly used. However, turbulence is a mesoscopic phenomenon and the size of the system must be taken into account. It turns out that influence of outer length of turbulence is significant and can lead to intermittency. More precisely, we analyze the connection of phenomena such as behavior of statistical correlations of observable quantities, anomalous scaling, and generation of magnetic field by hydrodynamic fluctuations with symmetries such as Galilean symmetry, isotropy, spatial parity and their violation and finite size of the system.https://www.mdpi.com/2073-8994/11/10/1193stochastic dynamicssymmetry breakingfield-theoretic renormalization group |
| spellingShingle | Michal Hnatič Juha Honkonen Tomáš Lučivjanský Symmetry Breaking in Stochastic Dynamics and Turbulence Symmetry stochastic dynamics symmetry breaking field-theoretic renormalization group |
| title | Symmetry Breaking in Stochastic Dynamics and Turbulence |
| title_full | Symmetry Breaking in Stochastic Dynamics and Turbulence |
| title_fullStr | Symmetry Breaking in Stochastic Dynamics and Turbulence |
| title_full_unstemmed | Symmetry Breaking in Stochastic Dynamics and Turbulence |
| title_short | Symmetry Breaking in Stochastic Dynamics and Turbulence |
| title_sort | symmetry breaking in stochastic dynamics and turbulence |
| topic | stochastic dynamics symmetry breaking field-theoretic renormalization group |
| url | https://www.mdpi.com/2073-8994/11/10/1193 |
| work_keys_str_mv | AT michalhnatic symmetrybreakinginstochasticdynamicsandturbulence AT juhahonkonen symmetrybreakinginstochasticdynamicsandturbulence AT tomaslucivjansky symmetrybreakinginstochasticdynamicsandturbulence |