Abstract
An original hydrodynamic model in which inelastic collisions in the equations of motion and energy balance play a decisive role is developed and applied to simulate electron avalanches in strong electric fields. The mean energy and drift velocity of electrons, as well as the ionization coefficient and electric field in a wide range of mean electron energies, are determined for helium and xenon. A criterion is derived for the runaway of the average electron in discharges with ionization multiplication. It is shown that runaway can take place at any value of E/p, provided that the momentum mean free path exceeds the gap length. The voltage corresponding to electron runaway is found for helium, xenon, and air as a function of the electric field, the electron mean energy, and the parameter pd. Conditions for the formation of a precursor in electronegative gases are analyzed. It is shown that the presence of a precursor with a high electric conductance is necessary for the formation of a new leader step. The voltage and time ranges corresponding to efficient electron runaway and X-ray generation during leader breakdown in air are determined.
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References
K. N. Ul’yanov, Teplofiz. Vys. Temp. 43, 645 (2005).
S. I. Braginskii, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Gosatomizdat, Moscow, 1963; Consultants Bureau, New York, 1965), Vol. 1.
D. V. Fursa and I. Bray, Phys. Rev. 52, 1279 (1995).
E. Krishnakumar and S. K. Srivastava, Phys 21, 1055 (1988).
G. D. Alkhazov, Zh. Tekh. Fiz. 40, 97 (1970) [Sov. Phys. Tech. Phys. 15, 66 (1970)].
T. Iton and T. Mugha, J. Phys. Soc. Jpn. 15, 1672 (1960).
V.L. Granovskiĭ, Electric Current in a Gas (Gostekhteoretizdat, Moscow, 1952) [in Russian].
J. P. Boeuf and E. J. Marode, Phys. D 15, 2169 (1982).
A. N. Tkachev and S. I. Yakovlenko, Pis’ma Zh. Éksp. Teor. Fiz. 77, 264 (2003) [JETP Lett. 77, 221 (2003)].
A. N. Tkachev and S. I. Yakovlenko, Pis’ma Zh. Tekh. Fiz. 29(16), 54 (2003) [Tech. Phys. Lett. 29, 683 (2003)].
J. J. Dutton, Phys. Chem. Ref. Data 4, 577 (1975).
L. M. Chanin and G. D. Rork, Phys. Rev. 133, 1005 (1964).
K. N. Ul’yanov and V. V. Chulkov, Zh. Tekh. Fiz. 58, 328 (1988) [Sov. Phys. Tech. Phys. 33, 201 (1988)].
B. A. Trubnikov, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Gosatomizdat, Moscow, 1963; Consultants Bureau, New York, 1965), Vol. 1.
Yu. P. Raizer, Gas Discharge Physics (Nauka, Moscow, 1987; Springer-Verlag, Berlin, 1991).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1963; Pergamon, Oxford, 1977).
K. N. Ul’yanov, Teplofiz. Vys. Temp. 4, 339 (1993).
Ya. B. Zel’dovich and Yu. P. Raizer Elements of Gas Dynamics and the Classical Theory of Shock Waves (Nauka, Moscow, 1966; Academic, New York, 1968).
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Original Russian Text © K.N. Ul’yanov, 2008, published in Fizika Plazmy, 2008, Vol. 34, No. 4, pp. 367–373.
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Ul’yanov, K.N. Conditions for electron runaway under leader breakdown of long gaps. Plasma Phys. Rep. 34, 331–337 (2008). https://doi.org/10.1134/S1063780X08040107
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DOI: https://doi.org/10.1134/S1063780X08040107