Initial plasma densification by odd-parity rotating magnetic fields (RMFo) applied to the linear magnetized Princeton field-reversed configuration (PFRC-2) device with fill gases at pressures near 1 mTorr proceeds through two phases: a slow one, characterized by a rise time τ slow 100 μs, followed by a fast one, characterized by τ fast 10 μs. The transition from slow to fast occurs at a line-integral-averaged electron density, tne, near 2 × 10 11 cm−3, independent of magnetic field. Over most of the range of experimental parameters investigated, as the PFRC-2 axial magnetic field strength was increased, RMFo power decreased, gas fill pressure lowered, or lower atomic mass unit (AMU) fill gas used, the duration of the slow phase lengthened from 50 μs to longer than 10 ms after the RMFo power began. The post-fast-phase maximum ne increases with the fill-gas AMU, exceeding 5 × 1013 cm−3 for Ar. The slow phase is consistent with atomic physics processes and field-parallel sound-speed losses. The fast phase may be explained by improved axial confinement, possibly augmented by radial or axial contraction of the plasma. Another possible explanation, a large increase in electron temperature, is inconsistent with x-ray emission. The ne behavior is discussed in relation to the E to H transition.

1.
M.
Tuszewski
, “
Field reversed configurations
,”
Nucl. Fusion
28
,
2033
(
1988
).
2.
J. M.
Finn
and
R. N.
Sudan
, “
Field-reversed configurations with a component of energetic particles
,”
Nucl. Fusion
22
,
1443
(
1982
).
3.
L. C.
Steinhauer
, “
Review of field-reversed configurations
,”
Phys. Plasmas
18
,
070502
(
2011
).
4.
A. C.
Kolb
,
C. B.
Dobbie
, and
H. R.
Griem
, “
Field mixing and associated neutron production in a plasma
,”
Phys. Rev. Lett.
3
,
5
(
1959
).
5.
A. L.
Hoffman
,
R. D.
Milroy
,
J. T.
Slough
, and
L. C.
Steinhauer
, “
Formation of field-reversed configurations using scalable, low-voltage technology
,”
Fusion Technol.
9
(
1
),
48
57
(
1986
).
6.
D.
Wells
,
J.
Davidson
,
L. G.
Phadke
,
J. G.
Hirschberg
,
P. E.
Zialjka
, and
J.
Tunstall
, “
High-temperature, high-density plasma production by vortex-ruing compression
,”
Phys. Rev. Lett.
41
,
166
(
1978
).
7.
M. W.
Binderbauer
,
H. Y.
Guo
,
M.
Tuszewski
,
S.
Putvinski
,
L.
Sevier
,
D.
Barnes
,
N.
Rostoker
,
M. G.
Anderson
,
R.
Andow
,
L.
Bonelli
et al, “
Dynamic formation of a hot field reversed configuration with improved confinement by supersonic merging of two colliding high-compact toroids
,”
Phys. Rev. Lett.
105
,
045003
(
2010
).
8.
R. L.
Stenzel
,
J. M.
Urrutia
, and
K. D.
Strohmaier
, “
Field reversed configurations in an unmagnetized plasma
,”
Phys. Rev. Lett.
101
,
135002
(
2008
).
9.
H. A.
Blevin
and
P. C.
Thonemann
, “
Plasma confinement using an alternating magnetic field
,”
Nucl. Fusion, Suppl.
55
(
1962
).
10.
W. N.
Hugrass
,
I. R.
Jones
,
K. F.
McKenna
,
M. G. R.
Phillips
,
R. G.
Storer
, and
H.
Tuczek
, “
Compact torus configuration generated by a rotating magnetic field: The Rotomak
,”
Phys. Rev. Lett.
44
,
1676
(
1980
).
11.
S. A.
Cohen
,
B.
Berlinger
,
C.
Brunkhorst
,
A.
Brooks
,
N.
Ferraro
,
D. P.
Lundberg
,
A.
Roach
, and
A. H.
Glasser
, “
Formation of collisionless high-beta plasmas by odd-parity rmf
,”
Phys. Rev. Lett.
98
,
145002
(
2006
).
12.
N. C.
Christofilos
, “
The ASTRON device
,” in
Proceedings of 2nd International Conference
on the Peaceful Uses of Atomic Energy (United Nations),
Geneva
(United Nations,
1958
), Vol.
32
, p.
279
.
13.
H. H.
Fleischmann
, “
High energy electron and ion rings for plasma confinement
,”
Ann. N. Y. Acad. Sci.
251
,
472
(
1975
).
14.
D. R.
Welch
,
S. A.
Cohen
,
T. C.
Genoni
, and
A. H.
Glasser
, “
Formation of field-reversed-configuration plasma with punctuated-betatron-orbit electrons
,”
Phys. Rev. Lett.
105
,
015002
(
2010
).
15.
W. N.
Hugrass
and
R. C.
Grimm
, “
A numerical study of the generation of an azimuthal current in a plasma cylinder using a transverse rotating magnetic field
,”
J. Plasma Phys.
26
,
455
(
1981
).
16.
R. D.
Milroy
,
C. C.
Kim
, and
C. R.
Sovinec
, “
Extended magnetohydrodynamic simulations of field reversed configuration formation and sustainment with rotating magnetic field current drive
,”
Phys. Plasmas
17
,
062502
(
2010
).
17.
M.-H.
Lee
and
C.-W.
Chung
, “
On the E to H and H to E transition mechanisms in inductively coupled plasma
,”
Phys. Plasmas
13
,
063510
(
2006
).
18.
A. L.
Hoffman
,
H. Y.
Guo
,
K. E.
Miller
, and
R. D.
Milroy
, “
Long pulse FRC sustainment with enhanced edge driven rotating magnetic field current drive
,”
Nucl. Fusion
45
,
176
(
2005
).
19.
S. A.
Cohen
and
A. H.
Glasser
, “
Ion heating in the field-reversed configuration by rotating magnetic fields near the ion-cyclotron resonance
,”
Phys. Rev. Lett.
85
,
5114
(
2000
).
20.
A. H.
Glasser
and
S. A.
Cohen
, “
Ion and electron acceleration in the field-reversed configuration with an odd-parity rotating magnetic field
,”
Phys. Plasmas
9
(
5
),
2093
2102
(
2002
).
21.
A. S.
Landsman
,
S. A.
Cohen
, and
A. H.
Glasser
, “
Onset and saturation of ion heating by odd-parity rotating magnetic fields in a field-reversed configuration
,”
Phys. Rev. Lett.
96
,
015002
(
2006
).
22.
S. C.
Brown
,
Basic Data of Plasma Physics
(
MIT Press
,
1966
).
23.
A.
Dogariu
,
S. A.
Cohen
,
P.
Jandovitz
,
S.
Vinoth
,
E. S.
Evans
, and
C. P. S.
Swanson
, “
A diagnostic to measure neutral-atom density in fusion-research plasmas
,”
Rev. Sci. Instrum.
93
,
093519
(
2023
).
25.
P.
Jandovitz
,
C.
Swanson
,
J.
Matteucci
,
R.
Oliver
,
J.
Pearcy
, and
S. A.
Cohen
, “
Demonstration of fast-electron populations in a low-pressure, low-power, magnetized rf plasma source
,”
Phys. Plasmas
25
,
030702
(
2018
).
26.
V. A.
Godyak
and
B. M.
Alexandrovich
, “
Plasma and electrical characteristics of inductive discharge in a magnetic field
,”
Phys. Plasmas
11
,
3553
(
2004
).
27.
A.
Fruchtman
, “
Penetration and expulsion of magnetic fields in plasmas due to the hall field
,”
Phys. Fluids B
3
,
1908
(
1991
).
28.
A.
Fruchtman
and
K.
Gomberoff
, “
Magnetic field penetration and electron heating in weakly collisional plasmas
,”
Phys. Fluids B
4
,
117
(
1991
).
29.
W.
Li
,
S. A.
Cohen
, and
C. P. S.
Swanson
, “
Penetration and formation of odd-parity rotating-magnetic-field antenna-driven field-reversed configuration
” (unpublished) (
2023
).
30.
S.
Shinohara
and
Y.
Kawai
, “
Skin depth of electromagnetic waves in plasma with magnetic field and collisions
,”
Jpn. J. Appl. Phys., Part 2
35
,
L725
(
1996
).
31.
V. I.
Kolobov
and
D. J.
Economou
, “
The anomalous skin effect in gas discharge plasmas
,”
Plasma Sources Sci. Technol.
6
,
R1
(
1997
).
32.
D. C.
Visentin
, “
Control of ion motion in rotating magnetic field current drive
,” Ph.D. thesis (
University of Tasmania
,
2007
).
33.
M. A.
Rothman
,
R. M.
Sinclair
,
I. G.
Brown
, and
J. C.
Hosea
, “
Ion cyclotron heating in the model C stellarator
,”
Phys. Fluids
12
,
2211
(
1969
).
34.
I. M.
El-Fayoumi
,
I. R.
Jones
, and
M. M.
Turner
, “
Hysteresis in the E- to H-mode transition in a planar coil, inductively coupled RF argon discharge
,”
J. Phys. D: Appl. Phys.
31
,
3082
(
1998
).
35.
M. M.
Turner
and
M. A.
Lieberman
, “
Hysteresis and the E-to-H transition in radiofrequency inductive discharges
,”
Plasma Sources Sci. Technol.
8
,
313
(
1999
).
36.
S. C.
Brown
,
Introduction to Electrical Discharges in Gases
(
John Wiley & Sons
,
1966
).
You do not currently have access to this content.