7483

6989

كارشناسي ارشد

فيزيك

اصفهان : دانشگاه صنعتي اصفهان، دانشكده فيزيك

1391

ده، 144ص.: مصور، جدول، نمودار

ص.ع. به فارسي و انگليسي

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7/11/91

بهروز ميرزا، محمدحسن علامت ساز

1396/09/22

كتابنامه

فيزيك

فيزيك

ID6989

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

Analytical and numerical investigation of Landau damping of longitudinal oscillations in Boltzmann Gibbs and nonextensive statistics Mohammad Barani m barani@ph iut ac ir m mohammadbarani@gmail com August 13 2012 Department of Physics Isfahan University of Technology Isfahan 84156 83111 IranDegree M Sc Language FarsiSupervisor A Parvaziyan parvazin@cc iut ac irAbstractDuring researches on Tokamaks it was clear that the ohmic heating used in them was not sufficient toobtain the temperatures needed for initiation of a self sustaining thermonuclear reaction Therefore asearch was begun for methods of heating which could supplement ohmic heating One of them is radiofrequency RF wave heating In this thesis it has been shown that interactions between waves andparticles can lead to either wave damping or wave instability depending on the shape of the velocitydistribution of the particles and magnitude of the waves This fact is based on Landau problem which hasbeen deduced from imaginary part of the wave frequency during propagation Beside cold plasma wavein a background magnetic field has been described and main modes in such waves have been discussednot only mathematically but also physically A certain additional subtle and practical aspects of wavepropagation in an inhomogeneous plasma has been discussed We also have shown that how the energycontent of a wave is related to its dispersion relation The particle in cell PIC computational methodallows the statistical representation of general distribution functions in phase space It has been shownthat how nonlinearities occur after the existence of a perturbed electrostatic wave Non extensivestatistical mechanics NSM has been developed as a useful tool to describe the complex systems whoseproperties cannot be exactly described by Boltzmann Gibbs B G statistical mechanics It is thought tobe a useful generalization of B G statistics and to be appropriate for the statistical description of the long range interaction systems such as Plasmas The generalized dispersion equation and Landau coefficientfor longitudinal oscillation in an unmagnetized collisionless and isotropic plasma with non extensive q distribution like statistics is derived and compared with conventional distribution Surprisingly it has beenshown that how the damping rate depends on wave number of oscillations A characteristic wave number 0 298 is deduced as a criterion for comparing the damping in the two statistics Key wordsWave plasma interaction RF heating Landau damping inhomogeneities nonlinearity Particle In Cell PIC computational method Boltzmann Gibbs B G statistics q distribution

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بهروز ميرزا، محمدحسن علامت ساز