Self-consistent perturbed equilibrium with neoclassical toroidal torque in tokamaks

Park, Jong-Kyu; Logan, Nikolas C.

doi:10.1063/1.4977898

Self-consistent perturbed equilibrium with neoclassical toroidal torque in tokamaks

Journal Article · Wed Mar 01 00:00:00 EST 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4977898· OSTI ID:1377823

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Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); PPPL
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Toroidal torque is one of the most important consequences of non-axisymmetric fields in tokamaks. The well-known neoclassical toroidal viscosity (NTV) is due to the second-order toroidal force from anisotropic pressure tensor in the presence of these asymmetries. This work shows that the first-order toroidal force originating from the same anisotropic pressure tensor, despite having no flux surface average, can significantly modify the local perturbed force balance and thus must be included in perturbed equilibrium self-consistent with NTV. The force operator with an anisotropic pressure tensor is not self-adjoint when the NTV torque is finite and thus is solved directly for each component. This approach yields a modified, non-self-adjoint Euler-Lagrange equation that can be solved using a variety of common drift-kinetic models in generalized tokamak geometry. The resulting energy and torque integral provides a unique way to construct a torque response matrix, which contains all the information of self-consistent NTV torque profiles obtainable by applying non-axisymmetric fields to the plasma. This torque response matrix can then be used to systematically optimize non-axisymmetric field distributions for desired NTV profiles. Published by AIP Publishing.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: AC02-76CH03073

OSTI ID:: 1377823

Alternate ID(s):: OSTI ID: 1348951

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 24; ISSN PHPAEN; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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