Open AccessNumerical study of double tearing mode instability in viscous plasma
Author(s) -
Shiyong Zheng,
Zhang Jia-Peng,
Ping Duan,
Wei Lai,
Xianqu Wang
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.025205
Subject(s) - tearing , instability , slab , physics , scaling , plasma , viscosity , mode (computer interface) , nonlinear system , electrical resistivity and conductivity , mechanics , rational surface , phase (matter) , geometry , thermodynamics , mathematics , computer science , operating system , quantum mechanics , geophysics
The scalings of double tearing mode (DTM) with various values of resistivity and viscosity have been investigated numerically by using a magneto hydrodynamic model in slab geometry. It is found that the growth rate changes from γ∝η3/5ν0 to γ∝η5/6ν-1/6 when the distance between two rational surfaces 2xs is sufficiently large. On the other hand, when the distance between two rational surfaces 2xs is very small, the scaling of γ and η and ν changes from γ∝η1/3ν0 to γ∝η2/3ν-1/3 as the viscosity increases. Moreover, the nonlinear evolution of symmetrical DTM is investigated in this paper. The study shows that the symmetrical DTM transforms to unsymmetrical DTM in the final phase.