Title: Minimizing separatrix crossings through isoprominence

Journal Article · · Plasma Physics and Controlled Fusion

Abstract A simple property of magnetic fields that minimizes bouncing to passing type transitions of guiding center orbits is defined and discussed. This property, called isoprominence, is explored through the framework of a near-axis expansion. It is shown that isoprominent magnetic fields for a toroidal configuration exist to all orders in a formal expansion about a magnetic axis. Some key geometric features of these fields are described.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
Simons Foundation; USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1958236
Report Number(s):
LA-UR-22-30857
Journal Information:
Plasma Physics and Controlled Fusion, Journal Name: Plasma Physics and Controlled Fusion Journal Issue: 4 Vol. 65; ISSN 0741-3335
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (23)

VEST: Abstract vector calculus simplification in Mathematica journal January 2014
General formulas for adiabatic invariants in nearly periodic Hamiltonian systems journal December 2020
Stochastic diffusion of energetic ions in optimized stellarators journal June 2001
Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic journal July 1962
Automation of the guiding center expansion journal July 2013
Some mathematics for quasi-symmetry journal September 2020
Transport and isomorphic equilibria journal January 1983
Omnigenity and quasihelicity in helical plasma confinement systems journal September 1997
J* optimization of small aspect ratio stellarator/tokamak hybrid devices journal May 1998
Normal stability of slow manifolds in nearly periodic Hamiltonian systems journal September 2021
Normal forms and near-axis expansions for Beltrami magnetic fields journal December 2021
Optimization of quasi-symmetric stellarators with self-consistent bootstrap current and energetic particle confinement journal August 2022
There is More than One Way to Frame a Curve journal March 1975
Fast particle confinement with optimized coil currents in the W7-X stellarator journal April 2014
Less constrained omnigeneous stellarators journal February 2015
Hamiltonian Theory of Guiding Center Bounce Motion journal January 1982
Theory of plasma confinement in non-axisymmetric magnetic fields journal July 2014
Collisionless alpha -particle confinement in stellarators journal June 1992
Phase anholonomy in the classical adiabatic motion of charged particles journal December 1988
Magnetic Fields with Precise Quasisymmetry for Plasma Confinement journal January 2022
Class of Model Stellarator Fields with Enhanced Confinement journal February 1982
Helical Plasma Confinement Devices with Good Confinement Properties journal January 1997
Hamiltonian theory of guiding-center motion journal May 2009