The deceiving Δ′: On the equilibrium dependent dynamics of nonlinear magnetic islands
Abstract
The linear stability parameter Δ′ is commonly used as a figure of merit for the nonlinear dynamics of the tearing mode. It is shown, through numerical simulations, that factors other than Δ′ can play a very important role in determining the evolution of nonlinear magnetic islands, even relatively close to marginal stability. In particular, two different equilibria are analysed and it is shown that, once perturbed, they have a qualitatively and quantitatively different response despite the fact that they are characterised by the same Δ′. However, the different behaviour can still be associated with linear properties of the equilibrium. It is also studied how the nonlinear and saturation phase are affected by an increasing Δ′ in the two equilibria. As the instability drive is increased, the systems move from a dynamics characterised by a “universal” generalised Rutherford equation to a Ypoint configuration and then to a plasmoid unstable Ypoint. Remarkably, in certain configurations the Rutherford phase is absent and the system forms a current ribbon without an Xpoint collapse.
 Authors:
 CCFE, Culham Science Centre, Abingdon, Oxon OX14 3DB (United Kingdom)
 Istituto Sistemi ComplessiCNR, Torino, Italy and Politecnico di Torino, Dipartimento Energia, Torino (Italy)
 Physics Department, University of Pisa, Pisa (Italy)
 Publication Date:
 OSTI Identifier:
 22299685
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 10; Other Information: (c) 2014 EURATOM; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COMPUTERIZED SIMULATION; CONFIGURATION; EQUILIBRIUM; MAGNETIC ISLANDS; NONLINEAR PROBLEMS; STABILITY; TEARING INSTABILITY
Citation Formats
Militello, F., Grasso, D., and Borgogno, D. The deceiving Δ′: On the equilibrium dependent dynamics of nonlinear magnetic islands. United States: N. p., 2014.
Web. doi:10.1063/1.4900643.
Militello, F., Grasso, D., & Borgogno, D. The deceiving Δ′: On the equilibrium dependent dynamics of nonlinear magnetic islands. United States. doi:10.1063/1.4900643.
Militello, F., Grasso, D., and Borgogno, D. Wed .
"The deceiving Δ′: On the equilibrium dependent dynamics of nonlinear magnetic islands". United States.
doi:10.1063/1.4900643.
@article{osti_22299685,
title = {The deceiving Δ′: On the equilibrium dependent dynamics of nonlinear magnetic islands},
author = {Militello, F. and Grasso, D. and Borgogno, D.},
abstractNote = {The linear stability parameter Δ′ is commonly used as a figure of merit for the nonlinear dynamics of the tearing mode. It is shown, through numerical simulations, that factors other than Δ′ can play a very important role in determining the evolution of nonlinear magnetic islands, even relatively close to marginal stability. In particular, two different equilibria are analysed and it is shown that, once perturbed, they have a qualitatively and quantitatively different response despite the fact that they are characterised by the same Δ′. However, the different behaviour can still be associated with linear properties of the equilibrium. It is also studied how the nonlinear and saturation phase are affected by an increasing Δ′ in the two equilibria. As the instability drive is increased, the systems move from a dynamics characterised by a “universal” generalised Rutherford equation to a Ypoint configuration and then to a plasmoid unstable Ypoint. Remarkably, in certain configurations the Rutherford phase is absent and the system forms a current ribbon without an Xpoint collapse.},
doi = {10.1063/1.4900643},
journal = {Physics of Plasmas},
number = 10,
volume = 21,
place = {United States},
year = {Wed Oct 15 00:00:00 EDT 2014},
month = {Wed Oct 15 00:00:00 EDT 2014}
}

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