Formation of current singularity in a topologically constrained plasma

Yao Zhou, Yi Min Huang, Hong Qin, A. Bhattacharjee

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

Recently a variational integrator for ideal magnetohydrodynamics in Lagrangian labeling has been developed. Its built-in frozen-in equation makes it optimal for studying current sheet formation. We use this scheme to study the Hahm-Kulsrud-Taylor problem, which considers the response of a 2D plasma magnetized by a sheared field under sinusoidal boundary forcing. We obtain an equilibrium solution that preserves the magnetic topology of the initial field exactly, with a fluid mapping that is non-differentiable. Unlike previous studies that examine the current density output, we identify a singular current sheet from the fluid mapping. These results are benchmarked with a constrained Grad-Shafranov solver. The same signature of current singularity can be found in other cases with more complex magnetic topologies.

Original languageEnglish (US)
Article number023205
JournalPhysical Review E
Volume93
Issue number2
DOIs
StatePublished - Feb 19 2016

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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