Theory of the Drift-Wave Instability at Arbitrary Collisionality
A numerically efficient framework that takes into account the effect of the Coulomb collision operator at arbitrary collisionalities is introduced. Such a model is based on the expansion of the distribution function on a Hermite-Laguerre polynomial basis to study the effects of collisions on magneti...
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American Physical Society
2018
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Online Access: | http://hdl.handle.net/1721.1/118765 https://orcid.org/0000-0001-9755-6563 |
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author | Jorge, R. Ricci, P. Gomes Loureiro, Nuno F |
author2 | Massachusetts Institute of Technology. Laboratory for Nuclear Science |
author_facet | Massachusetts Institute of Technology. Laboratory for Nuclear Science Jorge, R. Ricci, P. Gomes Loureiro, Nuno F |
author_sort | Jorge, R. |
collection | MIT |
description | A numerically efficient framework that takes into account the effect of the Coulomb collision operator at arbitrary collisionalities is introduced. Such a model is based on the expansion of the distribution function on a Hermite-Laguerre polynomial basis to study the effects of collisions on magnetized plasma instabilities at arbitrary mean-free path. Focusing on the drift-wave instability, we show that our framework allows retrieving established collisional and collisionless limits. At the intermediate collisionalities relevant for present and future magnetic nuclear fusion devices, deviations with respect to collision operators used in state-of-the-art turbulence simulation codes show the need for retaining the full Coulomb operator in order to obtain both the correct instability growth rate and eigenmode spectrum, which, for example, may significantly impact quantitative predictions of transport. The exponential convergence of the spectral representation that we propose makes the representation of the velocity space dependence, including the full collision operator, more efficient than standard finite difference methods. |
first_indexed | 2024-09-23T13:16:18Z |
format | Article |
id | mit-1721.1/118765 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T13:16:18Z |
publishDate | 2018 |
publisher | American Physical Society |
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spelling | mit-1721.1/1187652022-10-01T14:11:16Z Theory of the Drift-Wave Instability at Arbitrary Collisionality Jorge, R. Ricci, P. Gomes Loureiro, Nuno F Massachusetts Institute of Technology. Laboratory for Nuclear Science Massachusetts Institute of Technology. Plasma Science and Fusion Center Gomes Loureiro, Nuno F A numerically efficient framework that takes into account the effect of the Coulomb collision operator at arbitrary collisionalities is introduced. Such a model is based on the expansion of the distribution function on a Hermite-Laguerre polynomial basis to study the effects of collisions on magnetized plasma instabilities at arbitrary mean-free path. Focusing on the drift-wave instability, we show that our framework allows retrieving established collisional and collisionless limits. At the intermediate collisionalities relevant for present and future magnetic nuclear fusion devices, deviations with respect to collision operators used in state-of-the-art turbulence simulation codes show the need for retaining the full Coulomb operator in order to obtain both the correct instability growth rate and eigenmode spectrum, which, for example, may significantly impact quantitative predictions of transport. The exponential convergence of the spectral representation that we propose makes the representation of the velocity space dependence, including the full collision operator, more efficient than standard finite difference methods. 2018-10-25T14:50:47Z 2018-10-25T14:50:47Z 2018-10 2018-09 2018-10-19T18:01:18Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/118765 Jorge, R., et al. “Theory of the Drift-Wave Instability at Arbitrary Collisionality.” Physical Review Letters, vol. 121, no. 16, Oct. 2018. © 2018 American Physical Society https://orcid.org/0000-0001-9755-6563 en http://dx.doi.org/10.1103/PhysRevLett.121.165001 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
spellingShingle | Jorge, R. Ricci, P. Gomes Loureiro, Nuno F Theory of the Drift-Wave Instability at Arbitrary Collisionality |
title | Theory of the Drift-Wave Instability at Arbitrary Collisionality |
title_full | Theory of the Drift-Wave Instability at Arbitrary Collisionality |
title_fullStr | Theory of the Drift-Wave Instability at Arbitrary Collisionality |
title_full_unstemmed | Theory of the Drift-Wave Instability at Arbitrary Collisionality |
title_short | Theory of the Drift-Wave Instability at Arbitrary Collisionality |
title_sort | theory of the drift wave instability at arbitrary collisionality |
url | http://hdl.handle.net/1721.1/118765 https://orcid.org/0000-0001-9755-6563 |
work_keys_str_mv | AT jorger theoryofthedriftwaveinstabilityatarbitrarycollisionality AT riccip theoryofthedriftwaveinstabilityatarbitrarycollisionality AT gomesloureironunof theoryofthedriftwaveinstabilityatarbitrarycollisionality |