Ion rarefaction waves in cylindrical and spherical geometries

P. D. Prewett; J. E. Allen

doi:10.1017/S0022377800007984

Abstract

A similarity technique is used to solve the problem of the ion rarefaction wave associated with a sheath growing at constant speed from a cylindrical or spherical probe into an infinite plasma.

References

REFERENCES

Allen, J. E. & Andrews, J. G. 1970 J. Plasma Phys. 4, 187.Google Scholar

Bohm, D. 1949 The Characteristics of Electrical Discharges in Magnetic Fields (ed. Guthrie, A. and R. K. Wakening), ch. 3. MeGraw-Hill.Google Scholar

Chester, J. K. 1970 J. Sci. Tech. 37, 2.Google Scholar

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Crow, J. E. Auer, P. L. and Allen, J. E. 1975. The expansion of a plasma into a vacuum. Journal of Plasma Physics, Vol. 14, Issue. 1, p. 65.

Jones, R. 1977. Intense ion beam extraction through a non-equilibrium plasma sheath. Physics Letters A, Vol. 62, Issue. 7, p. 493.

Jones, R. 1979. Effects of time-variable boundaries on end loss in open-system magnetic confinement of plasmas. Il Nuovo Cimento B Series 11, Vol. 49, Issue. 2, p. 169.

Cipolla, J. W. and Silevitch, M. B. 1981. On the temporal development of a plasma sheath. Journal of Plasma Physics, Vol. 25, Issue. 3, p. 373.

True, M. A. Albritton, James R. and Williams, E. A. 1981. Fast ion production by suprathermal electrons in laser fusion plasmas. The Physics of Fluids, Vol. 24, Issue. 10, p. 1885.

Wickens, L.M. Braithwaite, N.St.J. and Coates, A.J. 1982. A wave of ion density enhancement following sheath contraction. Physics Letters A, Vol. 88, Issue. 3, p. 147.

Braithwaite, N. St. J. and Wickens, L. M. 1983. Plasma boundary motion and the ion-acoustic wave. Journal of Plasma Physics, Vol. 30, Issue. 1, p. 133.

Braithwaite, N. St. J. and Allen, J. E. 1984. The coupling of oscillatory plasma boundary motion to an ion acoustic wave. The Physics of Fluids, Vol. 27, Issue. 1, p. 203.

Sack, Ch. and Schamel, H. 1987. Plasma expansion into vacuum — A hydrodynamic approach. Physics Reports, Vol. 156, Issue. 6, p. 311.

Schott, Ludwig 1991. Double plasma and grid excitation of sinusoidal ion acoustic waves. Physics of Fluids B: Plasma Physics, Vol. 3, Issue. 1, p. 236.

Skorik, M. A. and Hershkowitz, N. 1994. Plasma sheaths near a negatively step biased electrode—Dynamic behavior for planar and spherical geometry. Physics of Plasmas, Vol. 1, Issue. 5, p. 1338.

Bliokh, Yu. P. Felsteiner, J. Slutsker, Ya. Z. and Vaisberg, P. M. 2002. Bohm criterion failure in nonstationary plasmas. Physics of Plasmas, Vol. 9, Issue. 8, p. 3311.

Bauernfeind, P and Lergon, H G 2004. Evolution of the maximum ion impact energy at an electrode during sheath and presheath formation. Journal of Physics D: Applied Physics, Vol. 37, Issue. 12, p. 1648.

Cornolti, F. Ceccherini, F. Betti, S. and Pegoraro, F. 2005. Charged state of a spherical plasma in vacuum. Physical Review E, Vol. 71, Issue. 5,

Bradley, J.W. and Bäcker, H. 2005. Evidence for a propagating density structure in a pulsed DC magnetron discharge. Surface and Coatings Technology, Vol. 200, Issue. 1-4, p. 616.

Bradley, J W Clarke, G C B Braithwaite, N St J Bryant, P M and Kelly, P J 2006. Time resolved 2-D optical imaging of a pulsed unbalanced magnetron plasma. Plasma Sources Science and Technology, Vol. 15, Issue. 2, p. S44.

Guittienne, Ph. Howling, A. A. and Furno, I. 2018. Two-fluid solutions for Langmuir probes in collisionless and isothermal plasma, over all space and bias potential. Physics of Plasmas, Vol. 25, Issue. 9,

Tskhakaya, D. D. Vasileska, I. Kos, L. Jelić, N. and Kuhn, S. 2020. Time-dependent kinetic theory of the plasma-wall transition layer in a weakly ionized plasma. Physics of Plasmas, Vol. 27, Issue. 2,

Tskhakaya, D. D. Vasileska, I. and Kos, L. 2021. Time-dependent behavior of a Debye sheath: Lengthening and establishment of the stationary state. Physics of Plasmas, Vol. 28, Issue. 6,

Article contents

Ion rarefaction waves in cylindrical and spherical geometries

Abstract

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References

REFERENCES

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Ion rarefaction waves in cylindrical and spherical geometries

Abstract

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References

REFERENCES

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