Study of Magnetohydrodynamics and plasma physics

Abstract

Pi &Militia The aloof the pejo* aces to set op and develop the subject of MW aid Plasma Physics at the heiversity of Islamabad. In resent years the foloject Ms mood great inpertasse dee to mew possibilities of Its industrial and techaelegical applications* in gardeniar the possibility of ashieving Ceetrelled Theresencleer Feels, bodies to risks leasters. linforbestely this subject was met even is mistime ia this University and fir that matter amphora is the ceentry. We hue introduced this subject at NI.Sc. aced M.Phil. level. Indeed by mew the tattiest has been fully tecerperatod iota the *mashies prognosis of the Physics Department. The online if the curses are seperatoll *Stacked* Sy low mere them 74 stets have doe their bJe. and MOW.. dearees4th credit is Plasma Physies. Do details are separately attached. The MRCS Laser Oft* bes started an M.AeIl. traihteg programme at the iimiverstly ter theft sew recruits. Sock *eines are elarertly required to offer the subject of Plume Physics. (103M111; (a) 10144101 WES II A 111014911PONSIT MOT KAM. Professor ii.A.Assitid, lar.iiinsmar-Sehmis sad omit studied aselinear weed promotion to a bet, seilteleeless elem. consisting of electrons and fees. Mee &seemed that the plasma was embeended sad that theta was me ambient magnetic field. The model weed was Seltamene4luov equation egeetien) fn a Lereets true if referees* S In which the spacedepeedemes was *Helmeted. Me investigated treasverse waves fir the two casess(i)the wee applitede is smell se theta per stave eapeestem Cu be performed interns el the amplitude. Triaged,. the series at an appropriate stage. a dispersion relation was obtained ttscerporating first-order een.lineer cis thin. Morons no restrictics on the temperature in this case. (ii) assoming that the Plana is se L extremely bet se emt tha to tutors effect can be treated as a stall sweeties to the cold plasma case. we determined a dispersion' palletise Asseribiag a wave of finite amplitude. In both eases the dispersim relation fellow* the patters of * oweempeeene alleetren plume with ions forming e backgrosmd 0 constant charge and current. we presented 04 results is a way that the elactrne mod ion effects stood ant separately* This work forms a paper which has been accepted far publication in the Journal of Physics A te1.12,la.7 (1177). (b) SOLITON AS A CONEAENT STAlf OF pima's. VIra .11 Ahmed artelf *tailed the eeliten-soletion - the special solution *f nonlinear dispersive sem tie* is which mou.linearity and dispersien bale** emit other se as to construct a constant profile relation. Such solutions seem to ploy as topertmet role is at tram of physics imaludieg plasma physics. In this reeard we tevesti tad a ate-dinemsienal ',harmonic WWI with Nrnperticles squally spaced ewer a finite kWh. For such a model with cubic sonlinearity. it has been shoo, that the system satisfied a **linear differential aemetioa(calied gdy eirrafas)atich has a seliton solution. Sucha solatian is a Coherent state 0 phones. We have %Heti° souse relic this eencept for an ertitrary dipres of Nealinearity. Thieve* has beam written es Internal Report. Continued.....(s) Nr. lumani amd Br. &Aorta= studied the problem of Linden demote. of tremors* wares is the pregeoe* of a uniform magmetie field using Beltiessaw. Mops semetioa and aseemiag small explitmee waves. The effect of the mespotis field was introdueed thrush the etas where se is the distribution feactioa. The multi*, dispersive relation, Om the Landau dimply tone iscorpereting semiotics due to the proems* of the enfformmigmetie field* This work is is progress*