1999
DOI: 10.1088/0022-3727/32/5/005
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The discharge current induced by the motion of charged particles in time-dependent electric fields; Sato's equation extended

Abstract: The formula derived by Nobuyasu Sato (1980 J. Phys. D: Appl. Phys. 13 L3-L6), for the current flowing in an external circuit due to the motion of charged particles in a gap is extended to include a time-dependent applied voltage. The effects of negative ions, and electron, positive ion and negative ion diffusion are also included. It is found that Sato's original equation still describes the contribution of charged particle motion to the external circuit current. The total circuit current is determined by ad… Show more

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Cited by 141 publications
(83 citation statements)
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(5 reference statements)
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“…For a discharge between metallic electrodes without dielectric surfaces, the general expression (Eq. 8) can be simplified to obtain the well known Sato's equation for time dependent applied voltages (equation 24 in [22]). In Sato's equa-tion, the Laplacian electric field and its time derivative are used.…”
Section: Model Descriptionmentioning
confidence: 99%
“…For a discharge between metallic electrodes without dielectric surfaces, the general expression (Eq. 8) can be simplified to obtain the well known Sato's equation for time dependent applied voltages (equation 24 in [22]). In Sato's equa-tion, the Laplacian electric field and its time derivative are used.…”
Section: Model Descriptionmentioning
confidence: 99%
“…In a number of experimental works [11,16,17] the attempts to prove the nature of the "step" were made taking into account the secondary photoelectron emission, and binding the pulse peak with the steamer nature. The results obtained in this paper show (figure 2c) that such "dualisms" in the description of these secondary pule elements is connected with an essential simplifying of the corona geometry by Morrow [22] and with the use of the Sato's expression for the current with the undetailed component of the displacement current (recently the authors have made appropriate corrections [41]). The cathode was set artificially like a sphere with the radius of 0.5 cm (too large for the corona), the emission area of which is greater in dozens of thousands of such ones in the papers [11,16,17].…”
Section: Analysis Of the Resultsmentioning
confidence: 63%
“…The swarm parameters in Table I obtained by Kang were utilized in our simulations which were verified by Tran and summarized by Georghiou et al; [32][33][34] i is the Trichel pulse current and V a the applied voltage. 35 Ion-impact secondary emission is the main reason that the negative corona discharge sustains which was proved by Morrow in his previous research. 16 Then the secondary emission coefficient is represented by γ in the range from 0.01 to 0.001 and γ = 0.004 was utilized in this manuscript.…”
Section: B Governing Equationsmentioning
confidence: 85%