SCIENTIFIC ABSTRACT NAGAYEV, E.L. - NAGAYTSEV, V.

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SCIENTIFIC ABSTRACT
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ACCESSION NR: AP4028965 f AUMOR: Kagayev S/0057/64/034/004/0745/0752 TITLE: Electric current in a gas-f illed diode with potential discontinuities at the electrodes ISOURCEt Zhurnal tolchnicheakoy ftziki, v.34, no.4. 1964, 745-752 .TOPIC TAGS: diode, gassy diode, cathode discontinuity, cathode drop, diode current, gassy diode current, cathode drop diode current ADSTRACT: The current in a diode containing a weakly ionized gas is calculated for the case In which the plane electrodes are so close together that the electrons do not have time to make significant progress toward thermal equilibrium with the gas. The calculation is based on a kinetic equation for the electron distribution func- tion in which volume ionization is neglected and only collisions with neutral atoms .are included. Energy transfer in these collisions is neglected. The appropriate ,boundary condition at the cathode Is that the electrons leave with the Maxwellian!-) velocity distribution corresponding to the temperature of the cathode. The kinetii equation is first solved, however, with the boundary condition that the electrani Card 1/4 ACCESSION NR: AP4028965 all leave the cathode with a fixed speed (but in the directions uniformly distribu- ted over the hemisphere). This solution is affected, under the assumption that the potential and the collision integral are both given functions of position, by a me- thod employed in the theory of radiative transfer (E.Itopf.Mathematical problems of radiative equilibrium, Cambridge .1934). The potential Is now assumed to be constant in the Inter-electrode space, but in general to differ there from its value on the cathode itself (cathode discontinuity). There results an expression for the electrai distribution function as a functional of the collision integral, in which the ca- thode potential drop and the speed of the electrons leaving the cathode appear as parameters. Since the collision integral is in turn a functional of the distribu- tion function, it can be determined from the condition that the two expressions be consistent. It is now assumed that the scattering is isotropic, so thatithe colli- sion integral is proportional to the electron density, and the consistency condition is formulated as an integral equation for the density. A variation principle Is found of which this integral equation is a consequence, and an approximate solution. is obtained by the Ritz procedure with the assumption that the electron density is a linear function of distance from the cathode. From this solution, the distribution function Is obtained and the current is calculated. This to finally averaged over the Maxwellian distribution of Initial electron speeds, giving an expression for C,,d 2/4 ACCLSSION NR: AP4028965 the current as a function of cathode temperature, cathode drop, electron mean free path, and electrode spacing. (I'ho electrode spacing enters via the boundary condi- tion on the anode that electrons enter but do not leave this electrode.) When the cathode drop is zoro, the current is nearly inversely proportional to the electrode spacing, in agreement with results previously obtained for this case by B.YaJJoy- zhes and G.Ye.Pilcus (M 2,756,1960). When the cathode drop is very large the cur- rent approaches the Richardson emission of the cathode. For a fixed finite cathode drop, the current depends the more strongly on the electrode spacing, the higher the cathode temperature. The cathode drop itself is to be determined from the can- dition of quasi-neutrality in the inter-electrode region. For this purpose the ion density and current are described by the phenomenological equations of B.Ya.Moyzhes and G.Ye.Pikus (loc.cit.). These equations involve the electric field in the inter- electrode region, which was assumed to vanish in the calculation of the electron distribution. If it is not possible to find a value of the cathode drop for which the charge density and electric field are both small, it enn be concluded that the assumption of constant potential was not adequate. "In conclusion the author ex- pre&ses his gratitude to I.A.Zaydenman for his constant interest In the work. The author is also grateful to ALI.Kaganov, R.Ya.Kucherov and L.N.Pikenglaz for mading the manuscript and for critical comments." OrIg.art.hass 38 formulas. Card 3/4 ACCESSION NR: AP4028965 :ASSOCIATIONi none smui 02Feb63 DATE ACQi 28Apr64 EXCL: 00 SUB CME: Pit, GE NR REP SOV: 003 MM: 002 Card 4/4 -L-359a--6 ACCESSUM Us u,5024042 to be a linear function of distance from the cathode except at the two electrodes themselvesp where it is discontinuous The kinetic equation is solved by methods tfiat~ are "discussed in more detall, In the paper cited above* The stability of the solution 13 discussed.in the diffusion approximation with electron-electron coUis- 1onaltakenAnto accountp and stability conditions are derived* The ion distribu- tion-la discusiedliM a pmcedike- to devfsid whereby one can calculate the current- voltage ci~iiiteristic of. the dodos, The beam Instability of the plasma was no- glect.ode Although-this effect prdvides'the predominant mechanism for the estab- lishment of a_Niawal,electiron ~veloaty distribution:when the cathode potential drop lw.very greatq It. appsm:.'to be of secondary importance In cesium diodes. Origs arts has a 44 foil ASSOCIATUM none `SU "OME2 ME* Lrc-,-- ~SUBMiTTEN.:-.3MOS EWU (D B No IMF Swe C. y n. mechrInism unde! I nr chaul? 1,,r er, rfry =7,.'~66_ ~ EWT(L)/T.. IJP(C) AT ACC NRt APS025383 SOURCE CODE! UR/0181/65/007/010/3033/3041 AUTHOR: Naxavoys-E, of Current Sources, Moscow (Vassoy iyy k ~,nauch issledowatel's. Ly institut.1stachniko* toka) g) fill, k; TITtS.- '_'..Spin. mechanism of charge and enemy transfer. Antiferr aghetic and para- magn et .ic states V. 7, no. 10, 1965, 3033-3041 ..-TOPIC- TAGS: theoretic physics,-antiferromagnetic material, paramagnetic material, energy band: structiato ABSTRACT.-. The paper is a continuation of a previous work in which general expres- sions. were-derived for the kinetic coefficients of a system of quasi-localized spins. Them' Gus author, uses, these previ' ly derived relationships for determining the kinetic coetAcient's-Jot- materials in -which the spin mechanism may be responsible for energy andt rge.transf4r. The results of these calculations indicate that conductivity in the metallic state for almost all the compounds in this class is due to localized d-eiectrons.' in other wards, these materials make the transition into the metallic s,tAte..wLth~ut,:-fbmiog,d-bands.. The antiferronagnetie 3nd paramagnetic states are ~,cowidsred Individually. In the first.cass, primary consideration is given to scat- ~T, -26624-66 9N-e(l)/T IJP(el AT C NR:. SOURCE CODE: UR/0181/65/007/010/29 69/2977 T-1 ~.AUTKM Nagayev 19. L. ORG'- Al-laUni -n Research Insft :MXXMJt 1XIM tute a QX -,AQV JVsesoyuz- nyY nauchno-togledovatellskiy inst tut is ochnikov toka) TITLE: On the. spin mechanism of charge and energy transfer, General relation- ships SOURCE: Fizika tverdogo tela, v. 7, no. 10, 1965, 2969-2977 TOPIC TAGS: transition element, kinetic -eqnixthm ABSTR'ACT: A polar model of metal was used to describe the occurrence of trans- fer in combinations of transition metals. The projection perturbation theor y was used. Formulas for kinetic coefficients through current correlators were interpreted with the aid of the Bogolyubov technique in a subspace of quasihomo- p6lar functions. A formula was derived for the deformed energy flux of electrons,'. which replaces true energy flux in the subspace of quasihomopolar functions. it was indicated that energy transfer Is carried out by virtual pairs and vacancies.1 Because of exchange interaction, energy transfer is absent. It was also :h&cated~ that Herring's criticism C. Herring (Phys. Rev., 87, 60, 1952.) of the Card 1 2 ard 1/2 C MAGATU, German Danilovich; PGLTAKOV, N.V., red.; BUKOVSKATA, N.A.. tekhn.red. (Designer Shpagial lonstruktor Shpagin. Moskva, Voon.lzd-vo X-va obor.SSSR, 1960. 139 P. (MIRA 13:11) (Mpagin, Georgii Somenovich, 1897-1952) VORONOV, I.S., gorny-y inzh.; KOVAIXNKO, V.A., gorny-y inzh.; BE.rmv, P.Ye., gornyy inzh.; MATUYIN, V.P., garnyy !nzh.; -NAGAYFI.1, Mr. Kh.Kh., gormyy lnzh.; SHMA-KOV, garnyy fnzh.; =':~ 7--l. t%) gornyy inzh. Conveying and loading ore with a v','brating feeder. Gor. zhur. no.8:29-31 kg '64. ~MIRA NAG7yV alk %-, ~ -.'I P , ." . A. - ,V $ M.F., !:, V.; ~ , - 1~ I . Theznr~r oC rea-t r.3 -p~:-aCng t.,.a~ re~-y--, t-p c n- centrat-Irin ~,-r&d`ent. Azerb. zhur. no.5--,-'--F4 'r,3 (. 1--.F. ) YAQAY31Y, Mikolay Illich; SHIBANOT, S.T.. redaktor; PEDOSOVA, N.I., redaktor; %ftWMVrAVIMVX"V4 GLIMOVA, L.A., tokhnicheakiy redaktor [Hunting ermine mink. and polecatB] Promysel gornostata, kolonka I khorLa. Pod red. S.Y.Shibanova. Rofikya, Zzd-vo tekhn. i skon. lit-ry po voprosam zagotovoic, 1956. 35 P. (KLRA 9:10) (Trapping) _Y49AUX,!IkQlay-~~SHIUMOV, S-V., red.; SHVETSOV, V.G.,, red.izd-v-a; SOTNIKOVA, N.F., tokhn. red. (Trapping fur-bearing animals) Kapkannyi promysel puabnykb zverei. Koskva, Izd-vo TSentrosoiuza, 1962. 65 p. (MIRA 16:5) (Trapping) NAGATEV, P.V.. laureat Stalinskoy premil; LICHENKOV, I.M. Using a spherical chamber in the piBton of a four-cycle engine with self- ignition. Avt.trakt.prou.no.5:16-20 My '53. (KLRA 6:5) 1. Hauchnyy avtomotornyy inatitut. (Gas and oil engines) KISELEV, B.A., inzh.; UPGART, A.A., otv.red.; PASHIN, M.A., red.; BORISOV, 3.G., red.; BRISKIN, M.I., red.; HPYZG(YV, N.N., red.; DYPOV, O.V., red.; ZILIBERBERG, Ya.G., red.; LOURI, A.S., red.; LUW11, 1.3., red.; NAGAYEV P.V red.; PEVZNER, Ya.M., red.; PRYADILOV, V.I., red.; iiiiff~g:: red.; SAJ4DL- , G.I., red.; SEDOVA, Ye.v. , red.; TAMRUCHI, O.V., red.; CHAPKEVICH, V.A., red.; CHISTOZVONOV, S.B., red.; SHKOLINIKOV, E.M., red.; SMIRNOVA, G.V., takhn.red. [Investigation of the operation and gas-exchange of a loop-scavenged two-cycle motor-vehicle diesel engine] Issledovanie rabochego protsessa i gazoobmena dyukhtaktnogo avtomobilnogo dizelia s petlevoi proAuvkoi. Moskva, Mashgiz, 1961. ~93 p. (Moskow. Gosudarstyennyi nauchno-issledovatellskii avtomobillny-i i avtomotornyi institut. Trudy, no.307. (MIRA 16:8) (Motor vehicles-Engines) MAGAYEV, R.F. (Leningrad) Dynamics of a vabratory machine having a beam-type vibrating element. Izv.AN SSSR.Otd.tekh.nauk.Mekh.i mashinostr, no.13 (MIRA 1622) 18-23 Ja-F 163. (Vibrators) NAGAYEVP R.F. (lAningrad) Dynamics of a vibrator- y percussion crusher with a pair of seLf- synchronizing vibrators. Izv.AN SSSR.Mekh. i mashinostr. no.5: 46-53 S-0 163. (MIRA l6tl2) NAGAYEV.-R.F. Natural vibrations of a rectangular perforated plate. Trudy LPI no.226:117-122 163. (MIRA 1b:9) (Elastic plates and shells-Vibration) ACCESSION: A?4027581 S/0040/64/028/002/0216/0220 AUTHOR: Nagayev, R. F. (Leningrad) TILOLE: Internal synchronization of almost identical dynamic objects under the influence of weak linear relations SOURCE: Prikladnaya matematika i moklianika, v. 28., no. 22 1964, 216-220 TOPIC TAGS: synchronization, dynamic object, weak linear relation, stability, s I otion, generating phase, harmonious functioning, coinciding param- ,rc,ronous m ers, coinciding periods ABSTRACT: The author studies the general case of almost identical objects synchronized under the influence of weak linear relations. He obtains conditions for existence and stability of synchronous motions and equations for deteniiining "generating phases". One sp"ks of synchronous motion of objects in a system when the basic parameters., which characterize the rhythm of motion, coincide. For periodic motion, one is concerned with coinciding of the periods. The author distinguishes weak and strong relations between objects, which influence their Card 1/2 .Acassio NR: AP4027581 motion, and lie is basically interested in weak relations with small influence, having little affect on deforming the nature of the motion. In order to achieve synchronous motion, the variables characterizing the degree of synchronization of the system must be of the same order of smallness as the parameter reflecting the "strength" of the relations. This condition is best satisfied by systems of almost identical objects. Orig. art. has: 29 formulas. ASSWIATIO14: none suB=En: 24octo'3 SUB CODE: PH, 1-ki DATE ACQ: 28Apr64 NO R12- SOV s 002 ENICL: 00 OTHER: 001 Card 2/2- .iw ACCESSION Nis Ap4o4o573 S/0040/64/026/003/0483/0492 AUTHOR. Nagayev, R. F. (LeniWad) TIMIE: Synchronization of almost identical dynamic system clo4ie to Lyapunov systems SOURCE: Prikladnaya matematika i mekhanika, v. 28, no. 3, 1964, 463- 492 TOPIC TAGSs synchronization, dynamic system, Lyapunov system, perturbation, stability ABSTRACT: The author assumes Thai the motion of an isolated object is described by a system of differential equations close to a Lyapunov system. In order to be able to adjust an object to the frequency of an exterior periodic perturbation transmitted to the object with the help of a weak connection, it is raquired only that this frequency be included in the frequency range of the isolated object. For interior synchronization, i.e., synchronization of an autonomous (on the whole) mutually connected system of objects, intersection of their frequency ranges is naturally required. Apparently the tendency to synchronization is stronger for system of such objects. The author studies the problem in general formulation Card 1/2 AccEssioN NR: AP404o573 for the case of almost identical objects, deriving conditions for existence and necessary conditions for stability of synchronous conditions., He obtains results which he then uses to study synchronization and autophasing systems of almost conservative objects established on a carrying body of rather general form. He establishes a generalized integral criterion of stability which is applicable to such a sys tem. Orig. art. has t 70 f ormlas. ASSOCIATION: none simaTTED: o2mar64 DATE ACQ: 19Jun64 FML: 00 SUB COD33 MA NO REF SOV: 007 OTAM: 000 Card 2/2 9~ ~~a6; ASSOCIMON NO REF none mati 00 777 ~. 06 z -i L 1785!~-66 9wT(m)/zTa(v0-6/LTP(w) iip(c) Em/ww ACC NRV,~ 004 SOURCE CODE: AUTHOR,: Nagayevo R, pe (Leningrad) ORG: none TITLE:, The-general problem on synchronization in a nearly conservative system SOURCE: _Prikla"a.matesatika i nekhanikag v. 29# no- 5, 19651 Sol-809 TOPIC TAGS: dynamic, system, kinetic energy, Lagrange equation, conservative system, system synchronizations vector, potential energy# motion equation ;-ABSTRACT.- The jk~bleu of synchronization in a nearly conservative system of weakly linke&dynamio objects from maximally generalized positions is studied. The system consists of k 4niimi objects; the movement of the i4l object in the system is characterize& first -of all x 1 column vector of partial general coordinates (qilo qt,).. The form of dppendency.of the dynamic characteristics of an object on generalized coordinates and-Velooities is invariant with respect to the type of linkage. Kinetio~snergy. aexpri 4 eased as Card 1/3 _7!77~ 7 L .17855-66 ACC M "inertial" matrix. Using 17i to denote where A Is: a symotAo (A, ki JL potential "*ra.- and. x to denote a supplementary coordinate vector, the author amasses kinetid and potential energies in the system as TO T, + AT~,. W Ui +AR* where AT* %"Ain (36. q) IC +x~'A. (x, q) jC, AW x'C (q, vt) + Critej4a airel develb lo the at -ength of.interactions between objects., The ,p4d "WeWM668 vfInteractibn is studied through the introduction of a linkage parameter whichlis,tero4orobjects in the system which are considered isolated. This parazeter,14:.used in expressions for the inertial and dynamic characteristics of of system motion are developed in the Rauss form. The pig; pjA,~Ipt + p,'Ai-!AJ- + 2 + T- I- "N _Yj pj'Ai-IN4y'z Yj pcAi-I?(j;Ai-IpJ + 10... i and the Rause kinatio potential. In A.- QLVdV L 1~8Ti~ ACC M AP609404 + + + A Lagrangeequation is used in exprescine, the motion of a mutually linked system of tobjecid' in Ra4iss: formO A gener .al casn where all objects in a generating approxima- ;-tion are essentially nonisochronous it; developed, and the stability and properties he ay han i -oft nchronous state are discussed. A simple example of two mee ical Ivibrators in:wmeontri'd rotation is given. Orig. art. has: 41 equations. Afts 02Apr65/ ORIG REF: 005 Card 3/3 sat BENYAKOVSKIY, M.i.; GUTN-;K, M.V.; TGROIN, G.M.; BUTTLKINA, L.I.; I REUTOV, Yu.G.; SHTKfj,,,.jjCI.TICTj I , B.A.; Fi-NY, 1F.A.; NPIGATEV, S.A. Mastering the operat-fon )f the p1ant for cold-rolled sheet production. Stall 25 no.8:726-730 Ag 165. (RIWi 18:8) 1. Cherepovetskiy metallurgicheskLy zavod. NAGAYEV, S. ;hys-Dlath Sci-- (diss) "Certain limiting V., Cand theorems for homogeneous eir-cu-i-t4Zi"rk4~yJ." Tashkent, Publishing House(Acad Sci UZSBR,1957. 8 pp. (Central Asian State U im V.I. Lenin. Phys-Math Faculty.) 150 copies. (KL, 12-58, 96) ,YrvOjje,6v -13- kUTHOR: NaGayev, S. V. (Tashkent) sov/52-2-4-1/7 TITLE: Sorie Lirtit Theoreas for Stationary blarkov Chains (Nekatoriye predel' nyye teoreay dlya odnorodnykh tsepey Markova.) PERIODICAL: Teoriya Veroyatnostey i yeye Primeneniya, 1957, Vol-II, Nr.4, pp-389-416. (USSR). ABSTRACT: Let X be the space of points 1~ and FX the a-al:rebra U 6 of its subsets. Let P( '41 A), X? A FX1 be the transition probability function. For fixed the function p( ~,, A) is a probability measure, and for fixed A it is mteasurable over Fl. The transition probability for n steps, p(n)( ~, A) is calculated frork the formula pn( ~,A) = P (n-1) (Tl,jl)p( -~,dTj)- (Eq-0.1) If the initial probability distribution is -T(.), then -Card 1/6 p( -, .) defines sequences of randont quantities BOV/52-2-4-1/7 SoEte LirLit Theorems for Stationary Markov Chains. xjlx 21 ... 7xnj...' which are connected in a homogeneous Markov chain, and Pr (Ml ( A -r' (A ) , Pr (Xn A ) = p ;,A) T (d (EqX~2) x Let f(:~ ) be a real function defined on X and measurable over FXI and let F UW be the distribution function of the sun Sn = B Zf(xi) - A., (Eq.0.3) 1 where An and B. > 0 are constants. As in the study of sums of independent identically distributed random quantities there arises the question of the Card 2/6 conditions under which the sequence F,(x) converges SUV/52-2-4-1/7 Some Limit Theorems for Stationary tiarkov Chains. and the law by which it converges. But if for independent random quantities this problem is completely solved, in the case of rand,-)m quantities related in a homogeneous Markov chain this is far from being the case. The investigation is complicated because the behaviour of F U(x) depends on the ergodic properties of the chain. In order to simplify the problem it is necessary to study the chain with sufficiently strongly expressed ergodic properties. The conditions which are sufficient for the truth of the central limit theorem have been most fully investiGated. Markov hiaself proved the central lirzit tneorem for throe suates under tiie condition when all transition probabilities were positive. Deblin (Ref.3) proved the central limit theorem for arbitrary sets of states under the assum;,,.,tion that f(~ ) vras bounded but imposed certain lestrictions or, the transition probability function. Doob (Ref.12) and Dynkin (Ref.11) replaced the lLaitation on f( ~) by the assumption that for Card 3/6 some 6 > 0 -.he folloviing (wrongly marked 0.3 in the, t-exxt) 5 OV/ 52 -;:~ -4 - 1/ 7 'Some Liait '2heorems for StatiDnary Markov Chainc. If (~ )I 2+1p (df 0. ]z 2) X hold5 where p(.) is 6he 3tationary probability distribution corresponding to p(...). Debli-ri proved that in the case of an even chain it is possible to reduce the study of suus of the form Eq.0.3(l) to the study of suas of irLdependent identi~all- y d4stributed L Trandom quaa-,~ities. Deblin's method T)ermits r-he assertion that for a definite class of even chains a set C-If T)ozs_''1_,1e 1LAiting laws coincides with the sez of sta_~~Ie The stable laws for the number of instances of a fixed stetp of an even chain were obtained by Feller Al s important is the study of the conditions Undev w.A,,~h trie local li"it theorefa is true. '-this theoreri was proved foi, finite ciiains by Kolaogorov (Ref.9), usinc-, Deblinc method. Considerable attention has b-~en oon:-~~ntrated Card 4/6 on shorteninG the liait theorems. IS i ra zhd in, ~T (" R e t' . 10 SOV/52-2-4-1/7 Some Uait Theorems for Stationary Markov Chains. obtained a shortening of a local and integral liait theorems for a finite number of states. The present paper consists of three chapters: in the first cLapter the asyaptotic properties of the characteristic function of a suia of randoia quantities connected in a homogeneous Markov chain are studied. In the second chapter the convergence to the normal Law and to a stable law which is different from the normal is studied. In the third chapter the local limit theorem is proved and asymptotic. expansions are obtained. The method of characteristic functions is the basic method used in the investiCations of this paper. The central limit theorem is proved 'under the assimption that f'(4)p(d.~ There are sixteen references, of which 9 are Soviet, Card 5/6 5 French and 2 American. SUV/52-2-4-1/7 Some Liikit T"heoreas for Stationary T,;arkov Chains. STJ13hd.L"2r,-D: JurLe 25, 1957. 1. Perturbation theory 2. Mathematics-Theory 3. Topology Card 6/6 AUTHOR: Nagayev, S.V., 20-2-10/62 TITLE: 0:1 Some Boundary-Value Theorews for Homogeneous Markov Chains (0 nekotorykh predellnjkh teoremakh dlya odnorodnykh tsi~pey dMarkova) P~,;A 1GLICAL: i,u1,.1ady 'kad.Nauk SSSR, 1957, Vol- 115, Nr 2, Pp. 237-239 (USSR) ABSTRA;,'T. I---, The abstract space X and the 6-algebra ~x of its sub-sets be assLA- ined. P( A) X,A be a function of the transit.on probabil- iti A c~,rtl stationary distribution of th4probabilities p(A) may apply here, so that in the case of certain Q