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A mechanism for fast magnetic reconnection in collisionless plasma is studied for understanding sawtooth collapse in tokamak discharges. Nonlinear growth of the tearing mode driven by electron inertia is analytically estimated by invoking…

Plasma Physics · Physics 2012-10-03 M. Hirota , P. J. Morrison , Y. Ishii , M. Yagi , N. Aiba

The core collapse events observed in a stellarator experiment are studied by a three-dimensional nonlinear MHD simulations. In the low magnetic shear configuration like the Wendelstein 7-X, the rotational transform profile is very sensitive…

Plasma Physics · Physics 2021-12-08 Yasuhiro Suzuki , Shimpei Futatani , Joachim Geiger

The linear and nonlinear evolution of magnetic reconnection in collisionless high-temperature plasmas with a strong guide field is analyzed on the basis of a two-dimensional gyrofluid model. The linear growth rate of the reconnecting…

Plasma Physics · Physics 2015-02-20 Luca Comisso , Daniela Grasso , François L. Waelbroeck , Dario Borgogno

Fast reconnection operating in magnetically dominated plasmas is often invoked in models for magnetar giant flares, for magnetic dissipation in pulsar winds, or to explain the gamma-ray flares observed in the Crab nebula, hence its…

High Energy Astrophysical Phenomena · Physics 2016-07-27 L. Del Zanna , E. Papini , S. Landi , M. Bugli , N. Bucciantini

Magnetohydrodynamic (MHD) theory and simulations have shown that reconnection is triggered via a fast "ideal" tearing instability in current sheets whose inverse aspect ratio decreases to $a/L\sim S^{-1/3}$, with $S$ is the Lundquist number…

Solar and Stellar Astrophysics · Physics 2019-10-09 Chen Shi , Anna Tenerani , Marco Velli , San Lu

Granular mixtures frequently segregate by grain size along the axis of partially-filled, horizontal, rotating tubes. When segregation approaches saturation at the surface, a well-defined pattern of bands with wavelength $\lambda$ emerges.…

Soft Condensed Matter · Physics 2007-05-23 Christopher R. J. Charles , Zeina S. Khan , Stephen W. Morris

In large hot tokamaks like JET, the width of the reconnecting layer for resistive modes is determined by semi-collisional electron dynamics and is much less than the ion Larmor radius. Firstly a dispersion relation valid in this regime is…

Plasma Physics · Physics 2012-01-31 J. W. Connor , R. J. Hastie , A. Zocco

The strain load $\Delta\gamma$ that triggers consecutive avalanches is a key observable in the slow deformation of amorphous solids. Its temporally averaged value $\langle \Delta\gamma \rangle$ displays a non-trivial system-size dependence…

Disordered Systems and Neural Networks · Physics 2021-01-15 Ezequiel E. Ferrero , Eduardo A. Jagla

We investigate the linear tearing instability in weakly collisional plasmas using a non-ideal gyrotropic-MHD framework, uncovering a previously unknown scaling relation for the instability growth rate in high-$\beta$ environments. Even…

Plasma Physics · Physics 2025-10-09 Gabriel L. Ferreira-Santos , Grzegorz Kowal , Diego A. Falceta-Gonçalves

We show that the saturation of resistive tearing modes in a cylindrical tokamak, as well as the corresponding island width, can be directly calculated with an MHD equilibrium code without solving the dynamics and without considering…

Plasma Physics · Physics 2023-09-26 J. Loizu , D. Bonfiglio

Sweet-Parker current sheets in high Lundquist number plasmas are unstable to tearing, suggesting they will not form in physical systems. Understanding magnetic reconnection thus requires study of the stability of a current sheet as it…

Plasma Physics · Physics 2018-03-02 Elizabeth A. Tolman , Nuno F. Loureiro , Dmitri A. Uzdensky

(substantial changes to section 3.2, otherwise minor) We present an analysis of the hydrodynamic stability of a cold slab bounded by two accretion shocks. Previous numerical work has shown that when the Mach number of the shock is large the…

Astrophysics · Physics 2009-10-22 ET Vishniac

Magnetic reconnection provides the primary source for explosive energy release, plasma heating and particle acceleration in many astrophysical environments. The last years witnessed a revival of interest in the MHD tearing instability as a…

Plasma Physics · Physics 2019-11-13 Emanuele Papini , Simone Landi , Luca Del Zanna

Contrary to all the 2D models, where the reconnection x-line extent is infinitely long, we study magnetic reconnection in the opposite limit. The scaling of the average reconnection rate and outflow speed are modeled as a function of the…

Space Physics · Physics 2020-10-28 Kai Huang , Yi-Hsin Liu , Quanming Lu , Michael Hesse

We revisit the diffusive instability in dusty disks that arises when the dust mass diffusivity and/or viscosity decreases sufficiently steeply with increasing dust density. Our updated model includes an incompressible, viscous gas that…

Earth and Planetary Astrophysics · Physics 2026-02-19 Konstantin Gerbig , Min-Kai Lin

Ballooning mode saturation is investigated in realistic stellarator configurations using the flux tube approach of Ham et. al. [1] [2]. The method is adapted to account for the lack of exact force balance in stellarator equilibrium solvers…

Plasma Physics · Physics 2026-02-23 X. Chu , S. C. Cowley , N. Ferraro , Y. Zhou , F. I. Parra

We study analytically the process of a topological texture collapse in the approximation of a scaling ansatz in the nonlinear sigma-model. In this approximation we show that in flat space-time topological texture eventually collapses while…

High Energy Physics - Phenomenology · Physics 2009-10-31 O. V. Barabash , Yu. V. Shtanov

The recent realization that Sweet-Parker current sheets are violently unstable to the secondary tearing (plasmoid) instability implies that such current sheets cannot occur in real systems. This suggests that, in order to understand the…

Solar and Stellar Astrophysics · Physics 2016-03-23 Dmitri A. Uzdensky , Nuno F. Loureiro

The question of collapse (blow-up) in finite time is investigated for the two-dimensional (non-integrable) space-time nonlocal nonlinear Schrodinger equations. Starting from the two-dimensional extension of the well known AKNS q,r system,…

Pattern Formation and Solitons · Physics 2024-02-20 Justin T. Cole , Abdullah M. Aurko , Ziad H. Musslimani

Computer simulations and scaling theory are used to investigate the damping of oscillations during epitaxial growth on high-symmetry surfaces. The crossover from smooth to rough growth takes place after the deposition of (D/F)^\delta…

Statistical Mechanics · Physics 2007-05-23 H. Kallabis , L. Brendel , P. Smilauer , J. Krug , D. E. Wolf