Calculations for the Practical Applications of Quadratic Helicity in MHD
作者： Petr M. Akhmet'ev , Simon Candelaresi , Alexandr Yu Smirnov
DOI: 10.1063/1.4996288
关键词:
摘要: For the quadratic helicity $\chi^{(2)}$ we present a generalization of Arnol'd inequality which relates magnetic energy to helicity, poses lower bound. We then introduce density using classical and its derivatives along field lines. practical purposes also compute flow show that for an $\alpha^2$-dynamo setting it coincides with square helicity. how can be extended obtain invariant even under compressible deformations. Finally, conclude numerical computation cases usage this higher order topological invariant.
core.ac.uk
arxiv.org
sci-hub.se 参考文章(45)
Axel Brandenburg, Piyali Chatterjee, Gustavo Guerrero, Shear-driven and diffusive helicity fluxes in alpha-Omega dynamos arXiv: Solar and Stellar Astrophysics. ,(2010) , 10.1111/J.1365-2966.2010.17408.X
G. Guerrero, P. Chatterjee, A. Brandenburg, Shear-driven and diffusive helicity fluxes in αΩ dynamos Monthly Notices of the Royal Astronomical Society. ,vol. 409, pp. 1619- 1630 ,(2010) , 10.1111/J.1365-2966.2010.17408.X
Y Yoshimura, O Motojima, K Ida, K.Y Watanabe, Y Nagayama, A Komori, T Morisaki, B.J Peterson, Y Takeiri, K Ohkubo, K Tanaka, T Shimozuma, S Inagaki, T Kobuchi, S Sakakibara, J Miyazawa, H Yamada, N Ohyabu, K Narihara, K Nishimura, M Yoshinuma, S Morita, T Akiyama, N Ashikawa, C.D Beidler, M Emoto, T Fujita, T Fukuda, H Funaba, P Goncharov, M Goto, T Ido, K Ikeda, A Isayama, M Isobe, H Igami, K Ishii, K Itoh, O Kaneko, K Kawahata, H Kawazome, S Kubo, R Kumazawa, S Masuzaki, K Matsuoka, T Minami, S Murakami, S Muto, T Mutoh, Y Nakamura, H Nakanishi, Y Narushima, M Nishiura, A Nishizawa, N Noda, T Notake, H Nozato, S Ohdachi, Y Oka, S Okajima, M Osakabe, T Ozaki, A Sagara, T Saida, K Saito, M Sakamoto, R Sakamoto, Y Sakamoto, M Sasao, K Sato, M Sato, T Seki, M Shoji, S Sudo, N Takeuchi, H Takenaga, N Tamura, K Toi, T Tokuzawa, Y Torii, K Tsumori, T Uda, A Wakasa, T Watari, I Yamada, S Yamamoto, K Yamazaki, M Yokoyama, Overview of confinement and MHD stability in the Large Helical Device Nuclear Fusion. ,vol. 45, ,(2005) , 10.1088/0029-5515/45/10/S21
E. A. Kudryavtseva, Conjugation invariants on the group of area-preserving diffeomorphisms of the disk Mathematical Notes. ,vol. 95, pp. 877- 880 ,(2014) , 10.1134/S0001434614050332
I. J. D. Craig, A. D. Sneyd, A dynamic relaxation technique for determining the structure and stability of coronal magnetic fields The Astrophysical Journal. ,vol. 311, pp. 451- ,(1986) , 10.1086/164785
Y. Liu, J. T. Hoeksema, M. Bobra, K. Hayashi, P. W. Schuck, X. Sun, MAGNETIC HELICITY IN EMERGING SOLAR ACTIVE REGIONS The Astrophysical Journal. ,vol. 785, pp. 13- ,(2014) , 10.1088/0004-637X/785/1/13
K Tziotziou, K Moraitis, MK Georgoulis, V Archontis, None, Validation of the magnetic energy vs. helicity scaling in solar magnetic structures Astronomy and Astrophysics. ,vol. 570, ,(2014) , 10.1051/0004-6361/201424864
Fabio Del Sordo, Simon Candelaresi, Axel Brandenburg, Magnetic-field decay of three interlocked flux rings with zero linking number. Physical Review E. ,vol. 81, pp. 036401- ,(2010) , 10.1103/PHYSREVE.81.036401
Jongchul Chae, Measurements of magnetic helicity injected through the solar photosphere Advances in Space Research. ,vol. 39, pp. 1700- 1705 ,(2007) , 10.1016/J.ASR.2007.01.035
E. Pariat, J. Zhao, M. D. Ding, Y. Guo, X. Cheng, TWIST ACCUMULATION AND TOPOLOGY STRUCTURE OF A SOLAR MAGNETIC FLUX ROPE The Astrophysical Journal. ,vol. 779, pp. 157- ,(2013) , 10.1088/0004-637X/779/2/157