Phase-space Dynamics of Runaway Electrons In Tokamaks

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The phase-space dynamics of runaway electrons is studied, including the influence of loop voltage, radiation damping, and collisions. A theoretical model and a numerical algorithm for the runaway dynamics in phase space are developed. Instead of standard integrators, such as the Runge-Kutta method, a variational symplectic integrator is applied to simulate the long-term dynamics of a runaway electron. The variational symplectic integrator is able to globally bound the numerical error for arbitrary number of time-steps, and thus accurately track the runaway trajectory in phase space. Simulation results show that the circulating orbits of runaway electrons drift outward toward the wall, ... continued below

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Guan, Xiaoyin; Qin, Hong & Fisch, Nathaniel J. August 31, 2010.

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The phase-space dynamics of runaway electrons is studied, including the influence of loop voltage, radiation damping, and collisions. A theoretical model and a numerical algorithm for the runaway dynamics in phase space are developed. Instead of standard integrators, such as the Runge-Kutta method, a variational symplectic integrator is applied to simulate the long-term dynamics of a runaway electron. The variational symplectic integrator is able to globally bound the numerical error for arbitrary number of time-steps, and thus accurately track the runaway trajectory in phase space. Simulation results show that the circulating orbits of runaway electrons drift outward toward the wall, which is consistent with experimental observations. The physics of the outward drift is analyzed. It is found that the outward drift is caused by the imbalance between the increase of mechanical angular momentum and the input of toroidal angular momentum due to the parallel acceleration. An analytical expression of the outward drift velocity is derived. The knowledge of trajectory of runaway electrons in configuration space sheds light on how the electrons hit the first wall, and thus provides clues for possible remedies.

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201Kb

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  • Physics of Plasmas (February 2010)

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  • Report No.: PPPL-4545
  • Grant Number: DE-AC02-09CH11466
  • DOI: 10.2172/988884 | External Link
  • Office of Scientific & Technical Information Report Number: 988884
  • Archival Resource Key: ark:/67531/metadc1012706

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • August 31, 2010

Added to The UNT Digital Library

  • Oct. 14, 2017, 8:36 a.m.

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  • Jan. 2, 2018, 1:32 p.m.

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Guan, Xiaoyin; Qin, Hong & Fisch, Nathaniel J. Phase-space Dynamics of Runaway Electrons In Tokamaks, report, August 31, 2010; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc1012706/: accessed July 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.