1974
DOI: 10.1088/0029-5515/14/1/001
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Collisional losses of electrons from an adiabatic trap in a plasma with a positive potential

Abstract: The author obtains analytical expressions for the collisional losses of electrons and their energy from an adiabatic trap when the plasma has a high positive potential. The expressions are derived on the basis of an approximate solution of the Fokker-Planck equation, which yields more reliable results than those obtained with the estimative formulas used in a number of other works. In addition, an expression is obtained for the mean energy of the electrons escaping from the trap.

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Cited by 253 publications
(178 citation statements)
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“…2 Deuterons scatter into the loss cone after a time τ D ≈ τ ii exp W ED 1 − R −1 m /T i , where τ ii is the ion-ion collision time and R m is the mirror ratio, and tritons have a similar dependence. 28 In the plasma described above, τ ii = 1 s, so that τ D = 55 s and τ T = 400 s. The fusion timescale is τ f us = 300 s. Combining these times with the simulated parameters and a plasma length of 40 m, we expect the power lost to be approximately 110 kW. If each fusion event produces 1.38 MeV of potential energy and requires 1 MeV, the net power from alpha particles left in the potential will be 150 kW, exceeding the power loss.…”
Section: Discussionmentioning
confidence: 99%
“…2 Deuterons scatter into the loss cone after a time τ D ≈ τ ii exp W ED 1 − R −1 m /T i , where τ ii is the ion-ion collision time and R m is the mirror ratio, and tritons have a similar dependence. 28 In the plasma described above, τ ii = 1 s, so that τ D = 55 s and τ T = 400 s. The fusion timescale is τ f us = 300 s. Combining these times with the simulated parameters and a plasma length of 40 m, we expect the power lost to be approximately 110 kW. If each fusion event produces 1.38 MeV of potential energy and requires 1 MeV, the net power from alpha particles left in the potential will be 150 kW, exceeding the power loss.…”
Section: Discussionmentioning
confidence: 99%
“…The ion confinement time is ν i ≈ ν i e 1−R , using the Pastukhov factor for the confining potential and our previous relationship between W E0 and T i , assuming T e T i [18]. The fusion time is simply ν f us = n i σv /4.…”
Section: Power Balancementioning
confidence: 99%
“…In an idealized mirror trap, where plasma jet flows through the magnetic mirror into open space, electron heat losses show favorable behavior: convective law Qe ~ Te 3/2 and 5.3 Te per lost electron [13]. In real machines, however, interaction of plasma outflow with surfaces and with background neutral gas argued to cause substantial increase of electron heat losses [12].…”
Section: Expander Physics Studiesmentioning
confidence: 99%