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Register a new userCalculating the conductivity and dielectric constant in quantum Fermi Plasma under external magnetic field
حساب الناقلية و معامل العازلية الكهربائيين لبلازما فيرمي الواقعة تحت تأثير حقل مغنطيسي خارجي
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تم في هذا البحث حل المعادلة الحركية شبه الكمومية لـلانداو - سيلين عند استخدام التأثير المتبادل بين أشباه الجسيمات في بلازما فيرمي الواقعة تحت تأثير حقل مغنطيسي خارجي، و من ثم الحصول على نتائج أكثر دقة لبعض الخواص كالناقلية و معامل العازلية، نظراً لأهميتهما في دراسة خواص البلازما بتابعية بارامترات لانداو ، و بعدئذ تمت مقارنة النتائج التي تم الحصول عليها مع نتائج طرق أخرى لتعيين هذين المعاملين.
Landau,s – Silin Semi Kinetic Equation has been solved by this scientific paper. After taking into consideration the mutual effect between quasi particles in Fermi's Plasma under a magnetic field to get more accurate results related to coming up with some characteristics of this sphere. Like the conductivity and dielectric coefficient due to their necessity in the plasma's characteristic study depending on Landau's parameters and comparing them to the results of other ways for these parameters to be calculated.
References used
Nodar L. Tsindsatze and Levan N. Tsindsatze,NewKineticEquations and Bogolyubov Energy Spectrum in a Fermi Quantum Plasma, arXiV : 0903 .5368 V1 [ Physics . Plasma – ph ] 31 Mar 2009
Necholson, D.R. Introduction to Plasma Theory.2nd,Krieger Publishing Company Malabar Florida USA, 1992. 285
Silin,V.P.; ZH EXSP, T.F, 33, 4959(1957) JEPT 6,387(1958). English trans:Sov. Phys
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In this search, we have calculated thetransverse component of energy distortion in
elasticity wave modes of quantum liquid, by using Landau's theory in Fermi liquid taken
in consideration the effect of transverse component of an external disturbanc
e on the
liquid. We calculated the current density related to this component, and the stress tensor
component according with this state.In our search we have been considered the
temperature is low enough since the relation is true, where is the Fermi
temperature.
We have compared the response of the liquid, for transverse componentof the
external disturbance, with its response for longitudinal one in same conditions, by studding
the transverse and longitudinal shear modulus (which equivalent these responses) as
functions of the frequency and wave vector of the external disturbance. We have
found in general that these responses are different, but they become equal in particular
case , where the velocity on Fermi surface, and in this case the
viscoelastic model hypotheses become true.
In this study, an Interaction Function between quasi particles has been introduced
into an energy formula in Kinetic Equation of Quantum Plasmas. Such new type can be
used to study quasi Particles of Quantum Fermi Plasmas, since it contains quantum
term
that is correlated with Bohm Potential, when the mean inter-particle distance is of the same
order as the de-Broglie thermal wavelength. An interaction function between quasi
particles has been expressed using spherical Functions in three-dimensional space with
Landau’s spread coefficients for ℓ = 0 , 1 , 2 . Using such representation led to obtaining
the dispersion relation of the structural waves and its energy Spectrum in balanced local
condition. The use of Landau parameters in this study isconsidered new comparing to other
studies in this field. It allows us to get more generic and more precise dispersion relations
with new previously unknown spectrum energy in Quantum Fermi Plasmas.
In this work, it has been recording the alpha particles emitted from an Amerecium-241 source, and scattered by a gold and Aluminum thin foils as a function of the scattering angle, using a semiconductor detector and Rutherford scattering chamber. It
always has been measuring the differential cross section resulting from this scattering, and experimentally determining the atomic number of Gold and Aluminum. Comparison between experimental and theoretical results shows a good agreement.
In this research, it has been studied the Fermi-Liquid density wave depending on
Landau theory. The kinetic equation has been solved using relaxation time approximation
at collision less condition. This is by expanding particle density function of
order Plus, Zero sound modes have been calculated and attenuation rate at low
temperatures.The results have been discussed and compared to the set ones and
the offered theory in this domain.
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