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December 31, 1967
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S/057/61/031/007/002/021 Transient radiation of a current ... B108/B209 total intensity of emission for the transition of the current through the boundary is found as J = -W~ -Wo -AE ( 18) -Further calculations Ahow-1hat A em in the case of a strong magnetic field the intensity,of the radiatioix is ,less than when no field is present at all. When the boundary is extended, i. e., when an intermediate region of the thickness 10 exists, the 2 2_ 2 z relation tv 6. iv 01 (24) holds, where t~, is the Langmuir frequency of the 01 0 0 medium at z>l0. The following is obtained for the Fourier components of the electric field in the intermediate region: d2E (25) C-C C, N2X2; X2 W2 - k2, 0 N= h N, W2 (26). L2 e!t'vc' C2 v Card 6/9 29022 S/057/,61/031/007/002/021 Transient radiation of a current B108IB209 By solving Eq. (25) one finds the work performed ditftng the transition from the vacuum to the mediums W=-LIE,(x, z,'t)j.~ dz=-L' jw,,.dkd, (37) a) in the vacuum:..--- We *0 (36) b) in the intermediate region: Card 7/9 25 022 S/057J61/031/007/002/021 -Transient ra-liation of a current B108IB209 C6 N31 e ds V?r 1h) (39) e (e-4.8-igs - e-c-#7"t) do Or. -4- ~Kt-" Ojelh"f do, V11" v e o) in the mediums (40 0 When 1 ten,is towards infinity, the work in vacuo,tv and that in the 0 E mediuml iv p vanish. Vinailyp the author thanks V.**I.' Veksler, V. L. Ginzburg, M. S. Rabinovich, and B. M. Bolotovskiy for discussions. 1. M. Card 6/9 25022 S/057/61/031/007/002/021 Transient radiation of a currr-f-.t ... B108/B209 Frank is mentioned. There are 7 Soviet referenoen. ASSOCIATION; Fizicheskiy inatitut AN SSSR im. P. N. Lebedeve, Moskva (Inatitutoof Physics AS USSR imeni P. N. Lebedevy Moscow) SUBMITTED: September 1, 1960 Card 9/9 TSYTOVICHY V.N. Coherent transition radiation from current-carrying and charged clusters. Zhur.te"fiz. 31 no.8:923-935 Ag 161. (14IRA 14:3) (Radiation) (Particles (Naclear physics)) LWINP M.L.; 'MYTGVICH, V.N. 4:-- Taking inertia into account in current interaction. Zhur.tekh.fiz,. 31 no.8:936-938 Ag 161. (14IRL 14:8) 1. Fizicheskiy inatitut imeni P.N.Lebedeva 0 SSSR,, 14oskva. (Electric currents) 2h7o6 S/056/61/040/005/00S/019 B111/B205 AUTHOR: Tsytovich, V. N. TITLE: Some problems in relativistic gas dynamics of charged particles PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy'fiziki, v. 4D, no. 5t 1961, 1325-1332 TEXT% In the first section of the present paper the results of V. 1. Yeksler (DAN SSSR, 118, 63, 1958) and I. M. Khalatnikov (ZhETF, 529, 1954) for self-consistent and external electromagnetic fields are generalized, and it is shown that in all cases where the ion portion of the current is small, the theorem of conservation of the magnetic flux along a fluid contour can be generalized to relativistic motions of an elpntron-ion plasma. The second part is devoted to the study of dimensional relativistic expansion of a charged gas layer into the empty space, the inertial terms being predominant, and also to the problem of electric fields generated during expansion of a quasi-neutral plasma into Card 1/5 Some problems in relativistic... S/02 06 5 61/040/005/OC6/Clig ~i'3 B111 B205 the empty space. Furthermore, the problem of relativistic collision of the charged layer with constant external fields is treated. The invostiga- tion is limited to isentropic motion in an electromagnetic field, for (s). _eA + ~(S)/ is derived; W (s)_ W(s)/n(s): which the relation 1'.,( s ) U 6 with w(s) being the heat function per unit volume, n(s) the proper density of the particles', u(8) the four-v.elocity, A the four-potential of the electromagnetic field, and y the flow potential. This relation is found to be the desired generalization. In the following, it is shown that the above equation will always be fulfilled for one-dimensional non-steady events. This is illustrated by the one-dimensional motion of an electron fluid with a current perpendicular to the direction of motion. The theorem of conservation deduced therefrom reads a a ) (W(,)U(g) d 111~ -rU46- 3 + MO = 77 (W()u'3') + eA,) 0. X, X1, Card 2/5 2h7o6 S/056/61/040/005/006,/019 B111/13205 Some problems in relativistic... If the inertial term 74(e)U(e) is negligible, then Eq. (8) will take the 3 form of the theorem of conservation of the flux through a fluid contour. It is sho7ni that the one-dimensional non-steady notlion is here a potential flovi. A'goneralization of Thomson's theorem of conservation of the velocity circulation is derived also for a three-dimensional motion: '~~ F I + ;'; F 'I /J x a + '2 F av I'L' x~L Pa /.-Y xv w 0 . Some one-dimensional. problems are discussed next: 1) relativistic expansion of a chargod layer into the.empty space. For -I- xi~~l (I layer thickness) one ol)tains u1n,rx, + (Xo1")(Y_'O+ I U = VY = V/ Y I - 0 i (19) where v indicates the hydrodynamic velocity, and n 0 the initial density, ro-47ce 2/m The particle density is given by (21) u- ' n,r,,xj* + (Yf I no U. YJ + U-1 Card.3/5 24706 S/056/61/040/005/0-:6/019 Some problems in relativistic... Bill/B205 Y,hioh hold-- for To /m