Plasma and magnetic field dynamics in POS: pic simulations
2D3V particle in cell computer simulations for plasma, magnetic field and current density spatio-temporal dynamics in plasma opening switch (POS) are presented for various initial plasma densities. The current channel formation in the POS’s plasma, its passage through the plasma bridge, and its dest...
Збережено в:
| Дата: | 2022 |
|---|---|
| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2022
|
| Назва видання: | Problems of Atomic Science and Technology |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/195886 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Plasma and magnetic field dynamics in POS: pic simulations / O.V. Manuilenko, I.N. Onishchenko, A.V. Pashchenko, I.A. Pashchenko, V.B. Yuferov // Problems of Atomic Science and Technology. — 2022. — № 6. — С. 55-59. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-195886 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1958862023-12-08T12:31:28Z Plasma and magnetic field dynamics in POS: pic simulations Manuilenko, O.V. Onishchenko, I.N. Pashchenko, A.V. Pashchenko, I.A. Yuferov, V.B. Plasma dynamics and plasma-wall interaction 2D3V particle in cell computer simulations for plasma, magnetic field and current density spatio-temporal dynamics in plasma opening switch (POS) are presented for various initial plasma densities. The current channel formation in the POS’s plasma, its passage through the plasma bridge, and its destruction at the boundary of the plasma jumper are studied. It is shown, that during the penetration of the magnetic field into the POS’s plasma and current channel formation, electron vortices are excited. The passage speed of the POS’s plasma by vortices decreases with increasing plasma density, which is qualitatively consistent with estimates based on classical electron magnetohydrodynamics (EMHD). Наведено результати 2D3V комп’ютерного моделювання методом макрочастинок просторово-часової динаміки плазми, магнітного поля та густини струму в плазмовому комутаторі струму (ПКС) для різних початкових густин плазми. Досліджено формування струмового каналу в плазмі ПКС, його проходження через плазму та руйнування на межі плазмової перемички. Показано, що при проникненні магнітного поля у плазму ПКС та формуванні струмового каналу збуджуються електронні вихори. Швидкість їх проходження через плазму ПКС знижується зі зростанням густини плазми, що якісно узгоджується з оцінками на основі класичної електронної магнітогідродинаміки (ЕМГД). 2022 Article Plasma and magnetic field dynamics in POS: pic simulations / O.V. Manuilenko, I.N. Onishchenko, A.V. Pashchenko, I.A. Pashchenko, V.B. Yuferov // Problems of Atomic Science and Technology. — 2022. — № 6. — С. 55-59. — Бібліогр.: 12 назв. — англ. 1562-6016 PACS: 52.75.-d, 52.75.Kq, 52.40.Hf, 52.65,+z, 52.70.Kz, 94.20 DOI: https://doi.org/10.46813/2022-142-055 http://dspace.nbuv.gov.ua/handle/123456789/195886 en Problems of Atomic Science and Technology Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Plasma dynamics and plasma-wall interaction Plasma dynamics and plasma-wall interaction |
| spellingShingle |
Plasma dynamics and plasma-wall interaction Plasma dynamics and plasma-wall interaction Manuilenko, O.V. Onishchenko, I.N. Pashchenko, A.V. Pashchenko, I.A. Yuferov, V.B. Plasma and magnetic field dynamics in POS: pic simulations Problems of Atomic Science and Technology |
| description |
2D3V particle in cell computer simulations for plasma, magnetic field and current density spatio-temporal dynamics in plasma opening switch (POS) are presented for various initial plasma densities. The current channel formation in the POS’s plasma, its passage through the plasma bridge, and its destruction at the boundary of the plasma jumper are studied. It is shown, that during the penetration of the magnetic field into the POS’s plasma and current channel formation, electron vortices are excited. The passage speed of the POS’s plasma by vortices decreases with increasing plasma density, which is qualitatively consistent with estimates based on classical electron magnetohydrodynamics (EMHD). |
| format |
Article |
| author |
Manuilenko, O.V. Onishchenko, I.N. Pashchenko, A.V. Pashchenko, I.A. Yuferov, V.B. |
| author_facet |
Manuilenko, O.V. Onishchenko, I.N. Pashchenko, A.V. Pashchenko, I.A. Yuferov, V.B. |
| author_sort |
Manuilenko, O.V. |
| title |
Plasma and magnetic field dynamics in POS: pic simulations |
| title_short |
Plasma and magnetic field dynamics in POS: pic simulations |
| title_full |
Plasma and magnetic field dynamics in POS: pic simulations |
| title_fullStr |
Plasma and magnetic field dynamics in POS: pic simulations |
| title_full_unstemmed |
Plasma and magnetic field dynamics in POS: pic simulations |
| title_sort |
plasma and magnetic field dynamics in pos: pic simulations |
| publisher |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| publishDate |
2022 |
| topic_facet |
Plasma dynamics and plasma-wall interaction |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/195886 |
| citation_txt |
Plasma and magnetic field dynamics in POS: pic simulations / O.V. Manuilenko, I.N. Onishchenko, A.V. Pashchenko, I.A. Pashchenko, V.B. Yuferov // Problems of Atomic Science and Technology. — 2022. — № 6. — С. 55-59. — Бібліогр.: 12 назв. — англ. |
| series |
Problems of Atomic Science and Technology |
| work_keys_str_mv |
AT manuilenkoov plasmaandmagneticfielddynamicsinpospicsimulations AT onishchenkoin plasmaandmagneticfielddynamicsinpospicsimulations AT pashchenkoav plasmaandmagneticfielddynamicsinpospicsimulations AT pashchenkoia plasmaandmagneticfielddynamicsinpospicsimulations AT yuferovvb plasmaandmagneticfielddynamicsinpospicsimulations |
| first_indexed |
2025-07-17T00:09:13Z |
| last_indexed |
2025-07-17T00:09:13Z |
| _version_ |
1837850642130927616 |
| fulltext |
ISSN 1562-6016. Problems of Atomic Science and Technology. 2022. №6(142).
Series: Plasma Physics (28), p. 55-59. 55
PLASMA DYNAMICS AND PLASMA-WALL INTERACTION
https://doi.org/10.46813/2022-142-055
PLASMA AND MAGNETIC FIELD DYNAMICS IN POS:
PIC SIMULATIONS
O.V. Manuilenko1,2*, I.N. Onishchenko1, A.V. Pashchenko1, I.A. Pashchenko1, V.B. Yuferov1
1National Science Center ”Kharkov Institute of Physics and Technology”, Kharkiv, Ukraine
2V.N. Karazin Kharkiv National University, Kharkiv, Ukraine
*E-mail: ovm@kipt.kharkov.ua
2D3V particle in cell computer simulations for plasma, magnetic field and current density spatio-temporal
dynamics in plasma opening switch (POS) are presented for various initial plasma densities. The current channel
formation in the POS’s plasma, its passage through the plasma bridge, and its destruction at the boundary of the
plasma jumper are studied. It is shown, that during the penetration of the magnetic field into the POS's plasma and
current channel formation, electron vortices are excited. The passage speed of the POS's plasma by vortices
decreases with increasing plasma density, which is qualitatively consistent with estimates based on classical electron
magnetohydrodynamics (EMHD).
PACS: 52.75.-d, 52.75.Kq, 52.40.Hf, 52.65,+z, 52.70.Kz, 94.20
INTRODUCTION
A POS is a plasma bridge between two electrodes,
usually in vacuum coaxial line. POSes are widely used
for voltage multiplication in pulsed-power science and
technology including high-current pulsed electron
accelerators [1-4]. The high-voltage pulse generator with
POS is an electric RLC circuit closed through the plasma
bridge. One end of the POS is connected to capacitive
energy storage, the other ‒ to a load, usually high current
vacuum diode. When energy storage is turned on, the
increasing in time current is closed through the plasma
bridge, the electrical energy of the capacitive energy
storage CUo
2/2 is converted into magnetic energy LI2/2.
After some time, the plasma bridge impedance increases
sharply, and the current is quickly decreased, an
overvoltage pulse appears UPOS ~ LdI/dt > Uo, the
accumulated energy is transferred to the load. The POS
opening time is much shorter than the current rise time.
This shortening causes a compression of the energy and
as a result ‒ an increase in the load power.
The main element of the POS is a plasma bridge with
a current. Its spatio-temporal dynamics determines the
energy accumulation time (current rise time) and the
POS opening time (current interruption time in the
plasma bridge), which, in turn, determines the magnitude
of the voltage multiplication UPOS/Uo. The plasma bridge
spatio-temporal dynamics is determined by the initial
conditions and the current flow through the plasma. The
only way to control the processes in the plasma bridge is
the proper choice of the initial conditions - the plasma
density and composition, its initial spatial distribution,
the dimensions of the cathode, anode, and the length of
the plasma bridge. Despite many years of using POS,
their experimental and theoretical studies [1, 2, 5-7],
presently there is no complete theory, let alone
computational models for predicting the POS
parameters.
Usually, the POS plasma density ne lies in the range of
1012...1014 cm-3, the cathode radii Rc are 1...5 cm, the
anode radii R are 4…10 cm, i.e., the characteristic
distances between the cathode and the anode a are
3...5 cm. The composition of the plasma can be different,
but in most cases it is a plasma that contains carbon ions,
charge Z = 1...3. In this parameters range
mec2/e2 < nea2 < Mic2/Ze2, where me ‒ electron mass;
Mi ‒ ion mass; c is the speed of light, i.e. the plasma and
electromagnetic field dynamics in a POS is described by
EMHD [8], i.e., the current is carried mainly by
electrons, and the penetration of the electromagnetic
field into the plasma is determined by the rapid
penetration of the magnetic field B into the plasma in the
form of a quasi-magnetostatic wave [8] with the speed
uf = cBr2/8e/r(1/ner2) [5]. Computer simulations for
magnetic field penetration into POS plasma and current
loop formation in it in EMHD approximation for various
initial plasma densities, currents, and POS geometries
[9] shown that the current loop dynamics in the POS is
determined by the fast magnetic field penetration in
plasma due to the Hall effect. The strong dependence of
the current loop longitudinal velocity on the transverse
coordinate lead to the formation of the narrow S-shaped
current loop even in homogeneous plasma. It was shown
that the control parameters influencing the dynamics of
the magnetic field and the current loop motion in the
POS are the initial plasma density, current and POS
geometry.
Below the results of 2d3v PIC simulations of plasma
dynamics in POS for different plasma densities
ne = 1012...1014 cm-3 are presented. The fully relativistic
electromagnetic particle-in-cell code XOOPIC [10] was
used for simulations.
SIMULATION RESULTS AND DISCUSSION
Fig. 1 shows the POS geometry. The simulation
domain is the space between cathode Rc and anode R, as
well as between z = 0 and z = ZL, ZL = 11 cm. Initially
electrons and plasma ions occupy the region
{Rc, R}{Zpin, Zpf}, Zpin = 1 cm, Zpf = 10 cm. Anode is a
mailto:ovm@kipt.kharkov.ua
56 ISSN 1562-6016. Problems of Atomic Science and Technology. 2022. №6(142)
metal boundary, where Ez = 0, electrons and ions that
came to the anode are absorbed. Cathode is also a metal
boundary, where Ez = 0, the particles that came to the
cathode are absorbed. On the segment {Zpin, Zpf}, where
the plasma touches the cathode, if the self-consistent
electric field Er > 2105 V/cm, a self-consistent
explosive emission of electrons from the cathode occurs.
On the left border, an electromagnetic field
corresponding to the current I, which is supplied by the
energy source and passes through the cathode - anode
gap, is set. Impedance boundary conditions for free
space are set on the right boundary. Particles that have
reached the right boundary are removed.
Fig. 1. POS is a coaxial line segment filled with plasma.
z, r ‒ longitudinal and transverse coordinate
For spatially homogeneous plasma we have for
penetration velocity of the electromagnetic field into the
plasma uf = 9.941017 I/ner2, where uf is in cm/s, r ‒ in
cm, I ‒ in A, ne ‒ in cm-3. Estimates show that at
ne = 1013 cm-3, I = 100 kA, the quasi ‒ magnetostatic
wave passage time throw POS plasma bridge with a
length of 10 cm is from 1 ns, for cathode radius
Rc = 1 cm, to 6.25 ns, for Rc = 2.5 cm. At such time
intervals, the ions can be considered immobile, and their
influence on the processes of current transfer through the
plasma can be neglected. Therefore, in the simulations
below, the ions were immobile. Test simulations with
mobile ions showed that their movement practically does
not affect the process of formation and passage of the
current channel through the plasma bridge.
Figs. 2-6 show space-time dynamics of plasma,
current channel and magnetic field for plasma densities
ne = {1012, 1013, 1014} cm-3 at I = 100 kA. Initially
plasma density is uniformly distributed in space.
Rc = 1 cm, R = 7.5 cm, the plasma bridge length
Lp = 9 cm. Figs. 2, 3 show the projection of the phase
space {r, z, ; r, z; t} onto the configuration space
{r, z} for plasma electrons (see Fig. 2) and electrons
emitted from the cathode (see Fig. 2) as a result of
explosive emission at different times. Figs. 4, 5 show the
corresponding to Figs. 2, 3 electron current density
= {jr(r, z, t), jz(r, z, t)} (current loop) at same time
moments, and Fig. 6 shows corresponding magnetic
field B(r,z,t). Current density and magnetic field are
depicted as lines of the same level, which is displayed in
color. This makes it possible to clearly compare the
dynamics of charged particles with the current density
and the field.
Fig. 2. Plasma electrons in the configuration space
{r, z}. Lines correspond to the times {0.11, 0.33, 0.55,
2.2, 5.5} ns. Columns correspond to initial density
ne0 = 1012 cm-3 (left); ne0 = 1013 cm-3 (middle);
ne0 = 1014 cm-3(right)
Fig. 3. Electrons emitted from cathode in the
configuration space {r, z}. Lines correspond to the times
{0.11, 0.33, 0.55, 2.2, 5.5} ns. Columns correspond to
initial density ne0 = 1012 cm-3 (left);
ne0 = 1013 cm-3 (middle); ne0 = 1014 cm-3(right)
Analysis Figs. 2-6 shows that initially a narrow
current radial channel is formed on the left side of the
ISSN 1562-6016. Problems of Atomic Science and Technology. 2022. №6(142). 57
plasma bridge, closer to the energy source. The current is
carried by plasma electrons and electrons generated as a
result of emission from the cathode. Current channel
electrons are accelerated by the radial electric field Er,
when passing from the cathode to the anode, they are
displaced to the right by the force of r B.
Fig. 4. Spatio-temporal dynamics of electron current
density, jr component, in the POS's plasma. Lines
correspond to the times {0.11, 0.33, 0.55, 5.5} ns.
Columns correspond to initial density ne0 = 1012 cm-3
(left); ne0 = 1013 cm-3 (middle); ne0 = 1014 cm-3 (right)
Fig. 5. Spatio-temporal dynamics of electron current
density, jz component, in the POS's plasma. Lines
correspond to the times {0.11, 0.33, 0.55, 5.5} ns.
Columns correspond to initial density ne0 = 1012 cm-3
(left); ne0 = 1013 cm-3 (middle); ne0 = 1014 cm-3(right)
At the beginning of the current channel formation
process, the electron trajectories are radial, with a small
displacement in the axial direction. This leads to the
formation in the current channel of a narrow layer of
positive charge on the side of the energy source and a
narrow layer of negative charge on the side of the load,
which, in turn, leads to the appearance of a longitudinal
electric field Ez in the current channel and to the radial
drift of electrons in crossed Ez B fields.
Fig. 6. Spatio-temporal dynamics of magnetic field
penetration into the POS's plasma. B (r,z,t) component
is presented. Lines correspond to the times
{0.33, 0.55, 5.5} ns. Columns correspond to initial
density ne0 = 1012 cm-3 (left); ne0 = 1013 cm-3 (middle);
ne0 = 1014 cm-3(right)
At the cathode and anode Ez = 0. Near the cathode, in
the plasma, the radial component of the electric field Er
is increased, compared to the vacuum field. This is due
to the fact that, firstly, as a result of a significant
difference in masses, even at the same temperatures,
electrons quickly go to the cathode, forming a positively
charged layer near the cathode along the entire length,
where the cathode touches the plasma, and, secondly, in
the current channel, a narrow layer of positive charge is
formed on the side of the energy source as a result of the
movement of current-carrying electrons, which at the
same time are shifted to the side of the load. This
positive volume charge enhances Er, which leads to the
explosive emission of electrons from the cathode and
their acceleration into the current channel (see Fig. 3).
Near the anode, in the plasma, Er is suppressed by the
positive volume charge. Electron emission from the
cathode “ties” the left border of the current channel near
the cathode to the left border of the plasma bridge
(see Fig. 3). Over time, the length of the cathode region
emitting electrons increases, its right border shifts in the
direction of the load (see Fig. 3). The current channel
near the anode moves in the longitudinal direction due to
the drift of electrons in crossed Er B fields (see Figs.
4, 5). When the current channel reaches the right border
of the plasma bridge, it consists mainly of the electrons
emitted by the cathode (see Figs. 2, 3). If this flow of
electrons falls into the mode of magnetic self-isolation,
then the current between the anode and the cathode is
completely interrupted, the energy of the magnetic field
is transferred to the load. In most cases, there is not a
complete breakdown of the current between the cathode
and the anode, part of the electrons of the current
channel reaches the anode. With the help of an external
magnetic field, it is possible to cut off this part of the
58 ISSN 1562-6016. Problems of Atomic Science and Technology. 2022. №6(142)
electron current from the anode and achieve a complete
interruption of the current.
As can be seen from Figs. 2-6, during the penetration
of the magnetic field into the plasma at its left boundary,
electron vortices are excited, in which electrons rotate
against the hour hand. In the center, they have a positive
charge - the density of the electronic component of the
plasma is lower than in undisturbed plasma. The speed
of vortices movement in the load direction is (0.2....5)uf.
As the plasma density increases, the time of the
magnetic field penetration into the plasma increases,
which is qualitatively consistent with estimates based on
classical EMHD – uf 1/ne. The characteristic size of
vortices decreases with increasing plasma density. As
can be seen from Figs. 4, 5, the current channel passes
along the boundary of vortices – undisturbed plasma.
From Fig. 6, it can be seen that the magnetic field is
penetrated into the POS plasma, filling the volume of the
vortices. Electrons captured by the vortex are excluded
from the current transfer between the cathode and the
anode, which can lead to an increase in the resistance of
the POS at the energy accumulation stage, if this is not
compensated by electrons emitted from the cathode due
to explosive emission. In addition, after POS opening,
the electrons captured by the vortices can quickly short-
circuit the cathode – anode gap of the POS.
Such vortices can be described [11, 12] by the
complete Maxwell's equations and by the relativistic
plasma hydrodynamics equations, from which the
equations for the electronic fluid vorticity can be
obtained:
eee vvdivv
t
)()()( +−=+
,
where )/( cAevmrot eee
−= ; ArotB
= ; e ‒ relati-
vistic factor; ev
‒ speed of the plasma electronic
component. As can be seen from (1),
is transferred
along the electron flow, and the terms on the right-hand
side of (1) play the role of a source or sink of vorticity.
Eq. can be rewritten as
ee vndtd
)()/(/ = , where
)(// +=
evtdtd . If 0)( = ev
, then
enI /=
does not change along the electron flow. This is the case
for flat geometry, if the electrons move in the {x, y}
plane, and
has only z-component. Only in this case,
the structure of the electron vortex was investigated and
it was shown that the electron density in its center is
significantly lower than the ion density, i.e., there is a
violation of quasi-neutrality, the magnetic field in the
center of the vortex is strengthened, compared to the
peripheral magnetic field [11]. We see a similar structure
of vortices in numerical simulations.
Analysis Figs. 2-6 shows that four stages of POS
operation can be distinguished in our case: (1) the initial
stage, when a current channel is formed near the left
border of the plasma bridge, (2) drift movement of a
current channel part located near the anode in the load
direction with simultaneous penetration of the magnetic
field (and the current channel, since ( ) Hrottrj
~, ) into
the POS plasma in the form of quasi-magnetostatic wave
and vortices on its front, and by pressing the part of the
current channel located near the cathode to the cathode,
(3) the exit of the current channel to the right border of
the plasma jumper, (4) exit of the current channel behind
the plasma bridge and complete or partial magnetic self-
isolation of electrons, which leads to a complete or
partial interruption of the current in the cathode-anode
gap. In the third and fourth stages, the current channel
consists mainly of electrons emitted from the cathode.
CONCLUSIONS
Computer simulations of spatio-temporal dynamics of
plasma and electromagnetic fields in the POS for a wide
range of plasma densities is presented. Numerical
simulations were performed using the particle-in-cell
method with solution complete Maxwell's equations and
relativistic equations for charged particles motion. It is
shown that theoretical models based on EMHD describe
quite well the movement of the current channel through
the POS plasma. This allows someone to use a simple
expression for the velosity of magnetic field penetration
into the plasma in the form of a quasi-magnetostatic
wave for estimating the energy storage time in inductive
energy storage devices with POS.
The general picture of the current channel dynamic in
the POS plasma, which follows from the numerical
simulations, is as follows. Initially a narrow radial
current channel is formed on the left side of the plasma
bridge, closer to the energy source. Electrons in the
current channel are accelerated by the radial electric
field. When they passing from the cathode to the anode,
they are shifted in the load direction by the force
r B.. This leads to the formation in the current
channel of a narrow positively charged layer on the
energy source side and negatively charged layer on the
load side, which leads to the appearance of a
longitudinal electric field in the current channel and a
radial drift of electrons in crossed fields Ez B. Near
the cathode, in the plasma, the radial component of the
electric field is increased, compared to the coaxial line
vacuum field. This is due to the forming a positively
charged layer near the cathode (sheath). This positive
volume charge strengthens the radial component of the
electric field, which leads to the explosive emission of
electrons from the cathode. Over time, the length of the
cathode region emitting electrons increases, its right
border shifts in the load direction, and the current
channel is pressed against the cathode (magnetic self-
isolation). The current channel near the anode moves in
the longitudinal direction due to the electrons drift in
crossed Er B fields. In the process of penetration of
the magnetic field into the plasma (and passing by the
current channel through the plasma jumper), electron
vortices are excited. The vortices motion velosity in the
load direction is (0.2...0.5)uf. As the plasma density
increases, the time of passage of the current channel
through the plasma bridge increases, which is consistent
with estimates based on classical electron
magnetohydrodynamics: uf 1/ne. When the current
channel reaches the right border of the plasma bridge, it
consists mainly of electrons emitted by the cathode. If
this flow of electrons falls into the mode of magnetic
ISSN 1562-6016. Problems of Atomic Science and Technology. 2022. №6(142). 59
self-isolation, then the current between the anode and the
cathode is interrupted. In most cases, there is an
incomplete current breaking. Part of the current channel
electrons reaches the anode.
Four stages of POS operation can be distinguished: the
initial stage, when a current channel is formed,
penetration of the magnetic field and the current channel
into the POS plasma in the form of quasi-magnetostatic
wave with vortices on its front, the exit of the current
channel to the border of the plasma bridge, and exit of
the current channel behind the plasma jumper, complete
or partial magnetic self-isolation of electrons, which
leads to interruption of the current in the cathode-anode
gap.
REFERENCES
1. C.W. Mendel, S.A. Goldshtein. A fast opening switch
for use in REB diode experiments // Journal of Applied
Physics. 1977, v. 48, p. 1004-1007.
2. R.A. Meger, R.J. Commisso, G. Cooperstein,
S.A. Goldstein. Vacuum inductive store/pulse
compression experiments on a high power accelerator
using plasma opening switches // Applied Physics
Letters. 1983, v. 42, p. 943-949.
3. E.I. Skibenko, V.B. Yuferov. Small-size direct-action
electron accelerator with a high-efficiency nanosecond
plasma-current switch // Problems of Atomic Science
and Technology. Series “Plasma Electronics and New
Methods of Acceleration” (122). 2019, № 4, p. 10-14.
4. V.B. Yuferov, E.I. Skibenko, I.N. Onishchenko,
V.G. Artyuch, O.S. Druy. Investigation of high-current
plasma opening switch at low gas pressure // Problems
of Atomic Science and Technology. Series “Nuclear
Physics Investigations”. 2000, № 2, p. 100-102.
5. A.V. Gordeev, A.S. Kingsep, L.I. Rudakov. Electron
magnetohydrodynamics // Physics Reports. 1994,
v. 243, p. 215-315.
6. G.I. Dolgachev, E.D. Kazakov, Yu.G. Kalinin, et al.
RS-20MR high-current relativistic electron beam
generator based on a plasma opening switch and its
applications // Plasma Physics Reports. 2019, v. 45,
p. 315-324.
7. S.V. Loginov. Experimental investigation of voltage
scaling in a plasma switch // Russian Physics Journal.
2020, v. 62, p. 1976-1981.
8. A.S. Kingsepp, Yu.V. Mokhov, K.V. Chukbar. Non-
linear skin effects in a plasma // Soviet Journal of
Plasma Physics. 1984, v. 10, p. 495-499.
9. O.V. Manuilenko, I.N. Onishchenko, A.V. Pash-
chenko, I.A. Pashchenko, V.A. Soshenko, V.G. Svi-
chensky, V.B. Yuferov, B.V. Zajtsev. Magnetic field
dynamics in plasma opening switch // Problems of
Atomic Science and Technology. Series “Nuclear
Physics Investigations” (136). 2021, № 6, p. 61-66.
10. J.P. Verboncoeur, A.B. Langdon, N.T. Gladd.
An object-oriented electromagnetic PIC code //
Computer Physics Communications. 1995, v. 87, № 1,
2, p. 199-211.
11. A.V. Gordeev, S.V. Levchenko. Is the Abrikosov
model applicable for describing electronic vortices in
plasmas? // JETP Letters. 1998, v. 67, № 7, p. 482-488.
12. A.V. Gordeev. «Mixing» of Lagrange invariants and
a new class of integrable equations for the Hall quasi-
equilibria // Plasma Physics Reports. 1997, v. 23, № 2,
p. 92-101.
Article received 13.10.2022
ДИНАМІКА ПЛАЗМИ І МАГНІТНОГО ПОЛЯ У ПКC:
МОДЕЛЮВАННЯ МЕТОДОМ МАКРОЧАСТИНОК
О.В. Мануйленко, І.М. Оніщенко, А.В. Пащенко, І.А. Пащенко, В.Б. Юферов
Наведено результати 2D3V комп'ютерного моделювання методом макрочастинок просторово-часової
динаміки плазми, магнітного поля та густини струму в плазмовому комутаторі струму (ПКС) для різних
початкових густин плазми. Досліджено формування струмового каналу в плазмі ПКС, його проходження
через плазму та руйнування на межі плазмової перемички. Показано, що при проникненні магнітного поля у
плазму ПКС та формуванні струмового каналу збуджуються електронні вихори. Швидкість їх проходження
через плазму ПКС знижується зі зростанням густини плазми, що якісно узгоджується з оцінками на основі
класичної електронної магнітогідродинаміки (ЕМГД).
|