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Bifurcation analysis of contraction in inert gases I. Bifurcations of steady-state discharges. / Golubovskiǐ, Yu B.; Nekuchaev, V. O.; Pelyukhova, E. B.

In: Technical Physics, Vol. 41, No. 10, 01.10.1996, p. 1011-1019.

Research output: Contribution to journal › Article › peer-review

Harvard

Golubovskiǐ, YB, Nekuchaev, VO & Pelyukhova, EB 1996, 'Bifurcation analysis of contraction in inert gases I. Bifurcations of steady-state discharges', Technical Physics, vol. 41, no. 10, pp. 1011-1019.

APA

Golubovskiǐ, Y. B., Nekuchaev, V. O., & Pelyukhova, E. B. (1996). Bifurcation analysis of contraction in inert gases I. Bifurcations of steady-state discharges. Technical Physics, 41(10), 1011-1019.

Vancouver

Golubovskiǐ YB, Nekuchaev VO, Pelyukhova EB. Bifurcation analysis of contraction in inert gases I. Bifurcations of steady-state discharges. Technical Physics. 1996 Oct 1;41(10):1011-1019.

Author

Golubovskiǐ, Yu B. ; Nekuchaev, V. O. ; Pelyukhova, E. B. / Bifurcation analysis of contraction in inert gases I. Bifurcations of steady-state discharges. In: Technical Physics. 1996 ; Vol. 41, No. 10. pp. 1011-1019.

BibTeX

@article{ddfb9243b59041fcbeca3fbb06c60c16,
title = "Bifurcation analysis of contraction in inert gases I. Bifurcations of steady-state discharges",
abstract = "A bifurcation analysis is made of the transition of steady-state discharges from a diffuse to a contracted state. It is shown that such experimentally observable characteristics of the contraction effect as sudden changes and hysteresis manifest the bifurcations studied here only when the influence of electron-electron collisions on the ionization rate is taken into account. When this influence is ignored, nonuniform heating of the gas creates a soft transcritical bifurcation that is accompanied by smooth changes in the internal parameters of the plasma. The dependence of the ratio of the ionization and recombination rates on the electron density for a given longitudinal field and electron temperature has a decisive effect on the character of the bifurcation. When electron-electron collisions are included, this function has a minimum for densities of ≈ 1011 cm-3. The nonmonotonicity of this function creates a Z-shaped region in the bifurcation diagram that corresponds to two hard bifurcations of the saddle-node type and the appearance of hysteresis.",
author = "Golubovskiǐ, {Yu B.} and Nekuchaev, {V. O.} and Pelyukhova, {E. B.}",
year = "1996",
month = oct,
day = "1",
language = "English",
volume = "41",
pages = "1011--1019",
journal = "Technical Physics",
issn = "1063-7842",
publisher = "Pleiades Publishing",
number = "10",

}

RIS

TY - JOUR

T1 - Bifurcation analysis of contraction in inert gases I. Bifurcations of steady-state discharges

AU - Golubovskiǐ, Yu B.

AU - Nekuchaev, V. O.

AU - Pelyukhova, E. B.

PY - 1996/10/1

Y1 - 1996/10/1

N2 - A bifurcation analysis is made of the transition of steady-state discharges from a diffuse to a contracted state. It is shown that such experimentally observable characteristics of the contraction effect as sudden changes and hysteresis manifest the bifurcations studied here only when the influence of electron-electron collisions on the ionization rate is taken into account. When this influence is ignored, nonuniform heating of the gas creates a soft transcritical bifurcation that is accompanied by smooth changes in the internal parameters of the plasma. The dependence of the ratio of the ionization and recombination rates on the electron density for a given longitudinal field and electron temperature has a decisive effect on the character of the bifurcation. When electron-electron collisions are included, this function has a minimum for densities of ≈ 1011 cm-3. The nonmonotonicity of this function creates a Z-shaped region in the bifurcation diagram that corresponds to two hard bifurcations of the saddle-node type and the appearance of hysteresis.

AB - A bifurcation analysis is made of the transition of steady-state discharges from a diffuse to a contracted state. It is shown that such experimentally observable characteristics of the contraction effect as sudden changes and hysteresis manifest the bifurcations studied here only when the influence of electron-electron collisions on the ionization rate is taken into account. When this influence is ignored, nonuniform heating of the gas creates a soft transcritical bifurcation that is accompanied by smooth changes in the internal parameters of the plasma. The dependence of the ratio of the ionization and recombination rates on the electron density for a given longitudinal field and electron temperature has a decisive effect on the character of the bifurcation. When electron-electron collisions are included, this function has a minimum for densities of ≈ 1011 cm-3. The nonmonotonicity of this function creates a Z-shaped region in the bifurcation diagram that corresponds to two hard bifurcations of the saddle-node type and the appearance of hysteresis.

UR - http://www.scopus.com/inward/record.url?scp=0009136360&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0009136360

VL - 41

SP - 1011

EP - 1019

JO - Technical Physics

JF - Technical Physics

SN - 1063-7842

IS - 10

ER -

ID: 51683970