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From liquid crystal models to the guiding-center theory of magnetized plasmas

Tronci, C (2016) From liquid crystal models to the guiding-center theory of magnetized plasmas Annals of Physics.

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Abstract

Upon combining Northrop’s picture of charged particle motion with modern liquid crystal theories, this paper provides a new description of guiding center dynamics (to lowest order). This new perspective is based on a rotation gauge field (gyrogauge) that encodes rotations around the magnetic field. In liquid crystal theory, an analogue rotation field is used to encode the rotational state of rod-like molecules. Instead of resorting to sophisticated tools (e.g. Hamiltonian perturbation theory and Lie series expansions) that still remain essential in higher-order gyrokinetics, the present approach combines the WKB method with a simple kinematical ansatz, which is then replaced into the charged particle Lagrangian. The latter is eventually averaged over the gyrophase to produce Littlejohn’s guiding-center equations. A crucial role is played by the vector potential for the gyrogauge field. A similar vector potential is related to liquid crystal defects and is known as wryness tensor in Eringen’s micropolar theory.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Tronci, CUNSPECIFIEDUNSPECIFIED
Date : 24 May 2016
Identification Number : 10.1016/j.aop.2016.05.006
Copyright Disclaimer : © 2016 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 13 Jun 2016 13:58
Last Modified : 13 Jun 2016 13:58
URI: http://epubs.surrey.ac.uk/id/eprint/810997

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