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In continuation of previous work, numerical results are presented, concerning relativistically counter-streaming plasmas. Here, the relativistic mixed mode instability evolves through, and beyond, the linear saturation -- well into the…

Plasma Physics · Physics 2008-11-26 Jacob Trier Frederiksen , Mark Eric Dieckmann

Solutions to a model 2D eigenmode equation describing micro-instabilities in tokamak plasmas are presented that demonstrate a sensitivity of the mode structure and stability to plasma profiles. In narrow regions of parameter space, with…

Plasma Physics · Physics 2014-09-05 D. Dickinson , C. M. Roach , J. M. Skipp , H. R. Wilson

We study extremal statistics and return intervals in stationary long-range correlated sequences for which the underlying probability density function is bounded and uniform. The extremal statistics we consider e.g., maximum relative to…

Statistical Mechanics · Physics 2015-05-13 N. R. Moloney , J. Davidsen

A reproducible stationary improved confinement mode (I-mode) has been achieved recently in the Experimental Advanced Superconducting Tokamak, featuring good confinement without particle transport barrier, which could be beneficial to…

The edge density and temperature of tokamak plasmas are strongly correlated with energy and particle confinement and their quantification is fundamental to understanding edge dynamics. These quantities exhibit behaviours ranging from sharp…

Plasma Physics · Physics 2022-01-05 Abhilash Mathews , Jerry Hughes

We report the suppression of Type-I Edge Localized Modes (ELMs) in the EAST tokamak under ITER baseline conditions using $n = 4$ Resonant Magnetic Perturbations (RMPs), while maintaining energy confinement. Achieving RMP-ELM suppression…

The electromagnetic modes possibly unstable in strongly magnetized plasmas are identified. The regime where this instability might stand out compared to the incoherent electron-cyclotron radiation is explored. These modes are relevant to…

Plasma Physics · Physics 2012-11-06 S. Son , Sung Joon Moon

In a previous analysis the problem of "zero-inflated" time data (caused by high frequency trading in the electronic order book) was handled by left-truncating the inter-arrival times. We demonstrated, using rigorous statistical methods,…

Statistical Finance · Quantitative Finance 2020-12-22 Markus Kreer , Ayse Kizilersu , Anthony W. Thomas

Plasma equilibria reconstructed from the Mega-Amp Spherical Tokamak (MAST) have sufficient resolution to capture plasma evolution during the short period between edge-localized modes (ELMs). Immediately after the ELM steep gradients in…

Plasma Physics · Physics 2013-06-18 D. Dickinson , C. M. Roach , S. Saarelma , R. Scannell , A. Kirk , H. R. Wilson

We present an investigation of the electromagnetic instabilities which are trig gered when an ultra relativistic electron beam passes through a plasma. The linear growth rate is computed for every direction of propagation of the unstable…

Plasma Physics · Physics 2009-11-11 A. Bret

Periodic edge localized modes (ELMs) are the non-linear consequences of pressure-gradient-driven ballooning modes and current-driven peeling modes becoming unstable in the pedestal region of high confinement fusion plasmas. In future…

Resonant magnetic perturbations (RMP) have extensively been demonstrated as a plausible technique for mitigating or suppressing large edge localized modes (ELMs). Associated with this is a substantial amount of theory and modelling efforts…

Plasma Physics · Physics 2016-11-03 Yueqiang Liu , C. J. Ham , A. Kirk , Li Li , A. Loarte , D. A. Ryan , Youwen Sun , W. Suttrop , Xu Yang , Lina Zhou

The beam-plasma instability, i.e. the response of the plasma bulk to the injection of supra thermal charged-particle beams, results to be appropriately characterized by a long-range interaction system. This physical system hosts a number of…

In this article, we consider the estimation of unknown parameters of Weibull distribution when the lifetime data are observed in the presence of progressively type-I hybrid censoring scheme. The Newton-Raphson algorithm,…

Statistics Theory · Mathematics 2019-11-12 Yasin Asar , R. Arabi Belaghi

There is no wide accepted theory for ELM (Edge Localized Mode) yet. Some fusion people feel that we may never get a final theory for ELM and H-mode, since which are too complicated (also related to the unsolved turbulence problem) and with…

Plasma Physics · Physics 2012-10-19 Hua-sheng XIE

An analytic theory of edge localized mode (ELM) suppression in an H-mode tokamak plasma via the application of a static, externally generated, resonant magnetic perturbation (RMP) is presented. This theory is based on the plausible…

Plasma Physics · Physics 2019-09-20 Richard Fitzpatrick

Energy-based models (EBMs) provide a powerful and flexible way of learning a joint probability distribution over data by constructing an energy surface. This energy surface enables insight extraction and conditional sampling. We apply EBMs…

Plasma Physics · Physics 2026-05-12 Phil Travis , Troy Carter

The magnetic field structure associated with edge localised ideal ballooning mode (ELM) bursts is analysed by nonlinear gyrofluid computation. The linear growth phase is characterised by the formation of small scale magnetic islands.…

Plasma Physics · Physics 2016-12-14 Josef Peer , Alexander Kendl , Bruce D. Scott

The nonlinear evolution of an ion ring instability in a low-beta magnetospheric plasma is considered. The evolution of the two-dimensional ring distribution is essentially quasilinear. Ignoring nonlinear processes the time-scale for the…

Plasma Physics · Physics 2015-05-27 M. Mithaiwala , L. Rudakov1 , G. Ganguli , C. Crabtree

The fuelling of plasmas by shallow frozen pellets with simultaneous mitigation of edge localised modes (ELM) by external magnetic perturbation is demonstrated on the MAST tokamak. Post-pellet particle loss is dominated by ELMs and inter-ELM…

Plasma Physics · Physics 2015-10-29 M Valovic , L Garzotti , C Gurl , A Kirk , D Dunai , A R Field , I Lupelli , G Naylor , A Thornton