Abstract
We investigate numerically the nonlinearly saturated single-helicity tearing instability of a visco-resistive current-carrying plane plasma slab using a 2D spectral code. The ratio of viscosity to resistivity is 0.2. The equilibrium state depends on the x-coordinate only, perturbations are supposed to be periodic in the y-direction (period L) and independent of the z-direction. The Lundquist number S is chosen as bifurcation parameter, and we investigate solutions with different fixed values of the period L by varying S. Choosing a sufficiently low value of L(L=L{sub o}), the first branch of the set of solutions bifurcating from the given static equilibrium is numerically found to be stable up to high values of the bifurcation parameter (S = 10{sup 6}). Passing to a new value L = 2L{sub o}, that same branch presents a symmetry breaking. For a period L = 4L{sub o}, that branch becomes unstable but a lower branch is found stable. Moreover, depending on the choice of the initial conditions, the evolution code may yield spatially very complicated transient states.
Maschke, E K;
[1]
Saramito, B
[2]
- Association Euratom-CEA, Centre d`Etudes Nucleaires de Cadarache, 13 - Saint-Paul-lez-Durance (France). Dept. de Recherches sur la Fusion Controlee
- Clermont-Ferrand-2 Univ., 63 - Aubiere (France)
Citation Formats
Maschke, E K, and Saramito, B.
Stability properties and asymptotic states of a 2D tearing-unstable plasma.
France: N. p.,
1991.
Web.
Maschke, E K, & Saramito, B.
Stability properties and asymptotic states of a 2D tearing-unstable plasma.
France.
Maschke, E K, and Saramito, B.
1991.
"Stability properties and asymptotic states of a 2D tearing-unstable plasma."
France.
@misc{etde_10130959,
title = {Stability properties and asymptotic states of a 2D tearing-unstable plasma}
author = {Maschke, E K, and Saramito, B}
abstractNote = {We investigate numerically the nonlinearly saturated single-helicity tearing instability of a visco-resistive current-carrying plane plasma slab using a 2D spectral code. The ratio of viscosity to resistivity is 0.2. The equilibrium state depends on the x-coordinate only, perturbations are supposed to be periodic in the y-direction (period L) and independent of the z-direction. The Lundquist number S is chosen as bifurcation parameter, and we investigate solutions with different fixed values of the period L by varying S. Choosing a sufficiently low value of L(L=L{sub o}), the first branch of the set of solutions bifurcating from the given static equilibrium is numerically found to be stable up to high values of the bifurcation parameter (S = 10{sup 6}). Passing to a new value L = 2L{sub o}, that same branch presents a symmetry breaking. For a period L = 4L{sub o}, that branch becomes unstable but a lower branch is found stable. Moreover, depending on the choice of the initial conditions, the evolution code may yield spatially very complicated transient states.}
place = {France}
year = {1991}
month = {Dec}
}
title = {Stability properties and asymptotic states of a 2D tearing-unstable plasma}
author = {Maschke, E K, and Saramito, B}
abstractNote = {We investigate numerically the nonlinearly saturated single-helicity tearing instability of a visco-resistive current-carrying plane plasma slab using a 2D spectral code. The ratio of viscosity to resistivity is 0.2. The equilibrium state depends on the x-coordinate only, perturbations are supposed to be periodic in the y-direction (period L) and independent of the z-direction. The Lundquist number S is chosen as bifurcation parameter, and we investigate solutions with different fixed values of the period L by varying S. Choosing a sufficiently low value of L(L=L{sub o}), the first branch of the set of solutions bifurcating from the given static equilibrium is numerically found to be stable up to high values of the bifurcation parameter (S = 10{sup 6}). Passing to a new value L = 2L{sub o}, that same branch presents a symmetry breaking. For a period L = 4L{sub o}, that branch becomes unstable but a lower branch is found stable. Moreover, depending on the choice of the initial conditions, the evolution code may yield spatially very complicated transient states.}
place = {France}
year = {1991}
month = {Dec}
}