AN APPLICATION OF RELATIVISTIC CHAOTIC GUN EFFECT TO THE JET MODEL OF STRONG RADIO SOURCES

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1 AN APPLICATION OF RELATIVISTIC CHAOTIC GUN EFFECT TO THE JET MODEL OF STRONG RADIO SOURCES Ghe.Dumitesu 1 ad C.Ciubotaiu 1 Guul Sola Idustial Toma N.Soolesu Ploiesti Uiesitatea Politehia Iasi (Reeied Jue, 005) Abstat.Duig last 50 yeas diffeet aoahes of elatiisti ets wee oosed.ut they ould t exlai satisfaatoy the high eegy of emissio, the extemely shot time of aiability ad the ositio of the soue. A likely Femi aeleatio mehaism is the haoti gu effet. We iestigate aalitially i this ae the aailability of this effet to desibe the oial geomety of the et. Keywods: atile aeleatio,syhoto emissio,gamma ays 1.Itodutio I the ast deades high eegy gamma ays wee deteted omig fom Mk 501 ad Mk 41 ad othe ati uleis.oth of them ae thought to be blazas. lazas ae ey oweful soues haateized by thei aiable olaized syhoto emissio. They ae assoiated with adio ets emegig fom giat ellitial galaxies see at small agles with the lie of sight.mk 501 is ~ light yeas fom Eath.It odues a tea-eleto olt gamma ay flux duig outbust.the mehaism of oduig suh high eegy is ot yet established. Maheim assumes two mehaisms esosable fo odutio of high gamma ays:(a) iese-comto satteig of low- eegy hotos by aeleated eletos o (b) io odutio by aeleated otos[6]. Models fo -ay emissio fom atie galati ulei(agn) based o hadoi iteatios hae i the aste osideed iteatios betwee elatiisti otos ad matte i a aetio disk suoudig a blak hole. I almost all attemts to exlaie the aeleatio of haged atiles this mehaism efees to a iitial shok i lasma whih a oide eletos o otos of high eegy. Gamma ays oigiate i elatiisti ets i whih the matte desity is too low to oide the equied taget matte fo elatiisti otos o eletos [5]Also suh high eegy, of ode 10 1 ev,i may models efomed util ow, imlies the eaeleatio of the beam i ode to ahiee the eegy. To data o mehaism of eaeleatio was oosed,as we ow, exet the haoti gu effet[1].the authos metioed that this effet ould be alied to the AGN et s aoahes. Chaoti gu effet oides the eaeleatio of a haged atile by a oesoae wae i two egimes:of isolated esoae ad of esoaes oela.oth aeleatio ould oide syhoto emissio.

2 360 Ghe. Dumitesu, C. Ciubotaiu Chaoti gu effet was studied as umeial simulatio ad all aametes ae dimesioless.i ou ae we attemt to deie the eegy of the syhoto emissio ad to suggest the way to fit the oial geomety of the et of a atie galati ulei to data. The owe of syhoto emissio due to elatiisti haged atiles osists i two tems: oe desibig the eloity of the mometum aiatio ad the othe oe desibig the eloity of the eegy aiatio.i odiay yli elatiisti motio the fome is muh bigge tha the last.ut i haoti gu effet the last tem beomes to be imotat.i hate II we assume that the seod tem,metioed aboe, beomes to be of the same age as the fist is ad we deie the syhoto eegy.assumig the gu effet equatios The owe of the syhoto emissio of a haged aeleated atile is e P 3m 3 d 1 de (1) whee m, E ad ae the est mass,the eegy ad the mometum of the atile whih Loetz fato is efeed to the obsee[].i a elatiisti motio oe may wites whee,aodig to [1] de d m () 1/ 1 + (3) m whee is the tasese mometum efeed to the exteal mageti field. The the aiatio of Loetz fato may be wite as d 1 + m 1/ m d (4) Substitutig (4) i () oe obtaies a elatio betwee the two tems of the baket of (1) de 1/ d m 1 + m (5)

3 361 A aliatio of elatiisti haoti gu effet Theefoe the owe of the syhoto emissio a be exessed as e d e d P 3 3 (6) 3 m 3 m d if we will assume d.the eegy emitted duig aeleatio is E sy e d P 3 3 m (7) Aodig to eq.(44) ad (45) fom [1] d km H y os k ( x t) (8) whee k is the wae eto of the wae odued by the beam of haged atiles ad H ost is dimesioless.(8) oides a oof of the extemely omlex motio of the haged atile ; the likely gyofequey of this motio deeds o k,, x,ϕ, H ad t. Substitutig (8) i (7) the eegy is E sy 4 e kh y os k( x t) d 3 m (9) As we a see fom (9) the dimesio of the itegad is.i ode to ealuate the age of the eegy it is woth otig that the eegy age deeds o k, H, if oe assumes the atio agle ( x t) y to be of the ode of uity ad also the k. The eegy estimated i (9) a be efeed to the th esoae at time t ad at distae x fom the obsee.if we adot the eegy is y osϕ the fo a etai ϕ E sy 4 e kh, osϕ os k( x t) (10) 3 m

4 36 Ghe. Dumitesu, C. Ciubotaiu 3.Numeial estimatios of the size of the emittig egio I ode to estimate the size of the emittig egio we will use data of [3] oeig the size of a omat adio soue.stog adio soues hae P tot > 10 WHz whee Ptot is the total setal owe of the emissio at 1.4 Ghz. Let mi be the lowest mometum of a eleto whih emits the lowest syhoto adio eegy ad max the highest mometum oesodig to the highest syhoto eegy.the fo a etai momet ad a etai hase ϕ E sy,max E 4 e kh 3 m sy,mi max [ ] osϕ os k( x t) e kh,max m mi osϕ os k max,mi ( x t) (11) whee fo adio emissio E sy, max J ev ; E sy, mi J osϕ osk x t 1 ad also the baket i (11) oe a ev. Assumig ( ) 10 estimate.fo adio emissio this leads to 1 + m. Fo H H 0. the Loetz fato is 10 3.Fo highe alues of H the Loetz fato deease. VLI obseatios of suelumial motios ofim that the et lasma i blazas is moig with Loetz fatos of 10[7]. Usig adio itefeomety data Maheim ifeed a bulk Loetz fatos et ~ to 10 ad ee fo few ases of still highe alues.fo these alues H must be of the ode of 10 whih imlies stog aeleatio i esose oela o o deeasig of the exteal mageti field i ode to iease β [1]. ut also fom umeial simulatios oe a obtaie ad hee a estimatio of of the legth of et d max 1/ mi d (1), max,mi whee d is the diffeee betwee the two adii oesodig to the two tasese mometum.the estimatio of the age of the two mometum ioled (11) may hel us to exess the legth as d 1 max πm ν lν l mi (13)

5 363 A aliatio of elatiisti haoti gu effet whee is the Loetz fato of the th esoae,whih oesods to max, ν is the oesodegly gyofequey of the haged atile motio, ν l is the Loetz fato of the l th esoae, whih oesods to mi ad ν l is the oesodegly gyofequey. Fo stog adio soue 3C 73 the oeted legth is about 39 k m[3].stog adio soues has the size of the et less tha 50 k [3]. Assumig the fist tem of the baket i (13) to be muh lage tha the 31 seod, d 39 k, m kg ad ν 1.4 Ghz oe fids max kg m s -1. A way to obe the aboe deiatio of the syhoto eegy might be the deiatio of the eloity of the et.that is to use the same exessio (8) i ode to ahiee ou deiatio. Fo adio soues with steady fee ets the adius exads with a ostat lateal eloity equal to its iteal soud seed s whee it fist beome fee[3].this is the ase of the stog soues.fo suh soues dr (14) dz whee R is the adius of et at the z distae fom the uleus(aex). I ode to eify if(14) ous fo syhoto emissio geeated by dr haoti gu effet we exess the lateal eloity as d m 1 m d (15) whee is the elatiisti gyofequey of the syhoto motio of the atile ad it is elated to as / [1]. Usig (8) the aboe eloity (15) beomes k H ( x t) k H osϕ os k( x t) y os k (16) Fom [1] oe a elae by / whee is the ode of the esoae.fo osϕ os k x t 1.The (16) beomes what it follows we will assume ( )

6 364 Ghe. Dumitesu, C. Ciubotaiu k H (17) whee is the Loetz fato elated to the -th esoae.fo elatiisti ets, 1 (14) is the agle.hee oe a estimate the eloity of et fom 1 (18) whih togethe with (17) leads to ut fom k 1 oe obtaies k H (19) H (0) This esult shows that the eloity of the et deeds o the ode of the esoae ad also o H.Fo 1 ad H 0. (0) leads to Fo 10 ad H 0. (0) leads to 4.To date may authos simulated ets o estimated et eloities.idle exloed diffeet ostaits o et eloities ad foud 10 < < 0. 1 fo adio emissios [3]. Pie et al. alulate fo C 79 a aeage seed ad agle to the lie-of-sight fo the egio of the et iteio to 1 mas of 0.99 ( 8) ad θ 4!"#$ - of-sight fo C4 (at 3 mas) of ( 13) ad θ % &(')+*,.-0/1! !/:-0; umbe desity of the et of 0.741b(whee b is the ambiet eleto umbe) the aeage et eloities fo the two simulatios efomed by Nishikawa ae , oesodig to Loetz fatos ae 5 (.5 MeV) ad 15 (7.5 MeV),esetiely[8]. Usig (0) fo suitable alues of H ad oe a obtaie also suelumial eloities as is obtaied fo ets iewed at lage agle to the lae of the sky[3]. IV.Disussios Fom (0) oe a obtaies a ostait o the odut H if we assume < :

7 365 A aliatio of elatiisti haoti gu effet O the othe had H <1 (1) > ould ou beause of haoti behaiou of the haged atile at H >0. as is metioed i [1].I this egime,e.g. H >0., (9) may ot desibe the aeleatio i the ight mae but ould exlai the deteted suelumial motio of ets. May ets wiggle aoud thei mea dietio.thee ae some mehaisms oosed to exlai the eiodi lateal defletios.these mehaisms ae faught with uetaities.well-studied ets aely math simle obital o ballisti eessioal shae oiigly.(10) ould exlai the small aiatios of the lateal shae of the et deteted i some data o the shae of dolets of some ets. I ou deiatios efomed aboe thee is ot ay ut i the gowth of the eloity.this is beause ou aime was to hek if the haoti gu effet a fit the geomety of a oial et.a futhe study may lead to ahiee ostaits whih limit the et eloity. V.Colusios We deied the syhoto eegy emitted by a haged atile duig its aeleatio i the mageti field of a haged atile beam ad also i a ostat ad uifom mageti field.numeial estimatios showed the aailability of the haoti gu effet to desibe the oial shae of the et by fittig the H aamete.ut this aamete may be ostait by the umbe desity of haged atiles i beam. REFERENCES 1. J. Agyis, C. Ciubotaiu, A haoti gu effet fo elatiisti haged atiles,chaos, Solitos ad Fatals 11, 1001±1014, 000. J. D. Jakso,Eletodiamia lasia,editua tehia,uuesti,1991,38 3. idle A.H.,A.Re.Asto.Astohys.,319-58, Maheim K.,Hadoi -ay emissio models ied omuiatio 6. K. Maheim,Siee 79,684(1998) 7. Ju Kataoka et al., Chaateisti X-ay Vaiability of TeV lazas:pobig the Lik betwee the Jet ad the Cetal Egie, axi:asto-h/ May K.-I. Nishikawa, Patile aeleatio, mageti field geeatio, ad emissio i elatiisti ai ets, axi:asto-h/ Feb G. Pie, THE SPEED AND ORIENTATION OF THE PARSEC-SCALE JET IN 3C79, Aeted by AJ, Ja 16, 003, axi:asto-h/ Ja 003